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IN-V-BAT-AI helps you to remember on demand even if your memory recall is block by too much worries of daily life. It helps you to organize knowledge in ways that facilitate retrieval and application.

Source: How People Learn II: Learners, Contexts, and Cultures

IN-V-BAT-AI is addressing the need of teachers and students for mathematics web based summative assessment tool that offer real time feedback for intervention by explaining how to solve previous U.S. Federal (NAEP) or Arizona (AZ) summative test questions that students are expected to know, master, and remember on demand.

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How can IN-V-BAT-AI be used in classrooms?

The IN-V-BAT-AI solution can be a valuable tool in classrooms, enhancing both teaching and learning experience. Here are some ways it can be utilized:

Personalized Learning: By storing and retrieving knowledge in the cloud, students can access tailored resources and revisit concepts they struggle with, ensuring a more individualized learning journey.

Memory Support: The tool helps students recall information even when stress or distractions hinder their memory, making it easier to retain and apply knowledge during homework assignments or projects.

Bridging Learning Gaps: It addresses learning loss by providing consistent access to educational materials, ensuring that students who miss lessons can catch up effectively.

Teacher Assistance: Educators can use the tool to provide targeted interventions to support learning.

Stress Reduction: By alleviating the pressure of memorization, students can focus on understanding and applying concepts, fostering a deeper engagement with the material.

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Never Forget is Now Possible! Store Your Knowledge in the Cloud.

IN-V-BAT-AI helps you to remember on demand even if your memory recall is block by too much worries of daily life.

Source: How People Learn II: Learners, Contexts, and Cultures

About
Apolinario "Sam" Ortega
Founder and CEO
of IN-V-BAT-AI



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According to McKinsey & Company's February 2024 Global report, many school children are not mastering basic skills.

Get the Math AI Tutor and ensure your students can solve 304 basic math questions on their smartphones or tablets.



How to Use: Choose the student's grade level and ask them to solve and explain the assessment test question.

Question 1 to 33 Difficulty 3rd Grade Level Question 34 to 67 Difficulty 4th Grade Level
Question 68 to 100 Difficulty 5th Grade Level Question 101 to 134 Difficulty 6th Grade Level
Question 135 to 168 Difficulty 7th Grade Level Question 169 to 202 Difficulty 8th Grade Level
Question 203 to 304 Difficulty High School Level


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ID = 1

Explain your answer
Question 1 Which fraction belongs in the box to make the number sentence true?

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ID = 2

Explain your answer
Question 2 The table shows a relationship between the number of sets of dishes and the number of plates in the sets. How many plates are in 1 set of dishes?

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ID = 3

Explain your answer
Question 3 Kari had a page of stamps. She used some of the stamps from the center of the page. The picture below shows the stamps Kari has left. How much of the page of stamps did Kari use?

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ID = 4

Explain your answer
Question 4 Gloria and her 3 friends will share a pizza equally. Which fraction shows the portion of the pizza each person will receive?

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ID = 5

Explain your answer
Question 5 Look at the vertex-edge graph. How many different paths can be traveled from vertex A to vertex D by visiting a vertex only once?

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ID = 6

Explain your answer
Question 6 Which fraction is closest to 0 o a number line?

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ID = 7

Explain your answer
Question 7 Abby, Zach, and Beth had a jump rope contest. The chart below shows the length of time each child jumped rope. Based on this information, which statement is true?

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ID = 8

Explain your answer
Question 8 What is the sum of the numbers shown?

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ID = 9

Explain your answer
Question 9 The jar below has 21 beans in it. About how many beans will be in the jar when it is full?

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ID = 10

Explain your answer
Question 10 Which figure shows 4 x 2 ?

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ID = 11

Explain your answer
Question 11 Amber had 13 pencils. She gave some of them away. Now she has 6 left. Which equation could show how many pencils Amber gave away?

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ID = 12

Explain your answer
Question 12 Which fraction is between 3/4 and 1 on a number line?

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ID = 13

Explain your answer
Question 13 Mario knows that a 1-quart jar holds 4 cups of lemonade. He will make 8 cups of lemonade. How many 1-quart jars will Mario need?

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ID = 14

Explain your answer
Question 14 Look at the puzzle. Which piece completes the puzzle?

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ID = 15

Explain your answer
Question 15 What number is missing from the sequence?

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ID = 16

Explain your answer
Question 16 Mike is saving his pennies. When he saves 695, he will buy some school supplies. Mike has 427. How many more does he need to reach his goal?

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ID = 17

Explain your answer
Question 17 The table shows the possible food choices for lunch. How many different lunches can be made that include 1 type of soup, 1 type of sandwich, and 1 type of salad?

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ID = 18

Explain your answer
Question 18 Look at the array. What is the perimeter of this array?

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ID = 19

Explain your answer
Question 19 Which figure has only one base and one vertex?

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ID = 20

Explain your answer
Question 20 Mr. Jacob's class is going on a field trip. They need to split into groups of 4 students. If there are 24 students in Mr. Jacob's class, how many groups will there be?

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ID = 21

Explain your answer
Question 21 Sara used a rule to create the numbers in the input-output table. What rule did Sara use?

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ID = 22

Explain your answer
Question 22 Jackie's mom baked cookies. Jackie wants to share the cookies equally with five friends. What information is needed to determine how many cookies each person could get?

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ID = 23

Explain your answer
Question 23 Joe's family had pie for dessert. They ate 3/4 of the pie. Which picture shows how much pie Joe's family has left?

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ID = 24

Explain your answer
Question 24 The bar graph shows the results of a survey about pets from Mr. Hall's class. Based on the graph, how many more students have dogs than gerbils?

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ID = 25

Explain your answer
Question 25 The bar graph shows the results of a survey about pets from Mr. Hall's class. What is the most popular pet in Mr. Hall's class?

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ID = 26

Explain your answer
Question 26 Ms. Ryan asked her student in her class if they have any pets. Her results are shown below.

4 students have only cats
12 studetns have only dogs
5 students have a dog and a cat
8 students have fish
No students have pet gerbils

Based on the information from Ms. Ryan's class, which statement is most likely true?

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ID = 27

Explain your answer
Question 27 What are the next 2 terms in the sequence?

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ID = 28

Explain your answer
Question 28 What is the numeric form of the number written below?

one hundred four-thousand, one hundred three

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ID = 29

Explain your answer
Question 29 The pool at the park is about 96 feet long. If Randy swims across the length of the pool 2 times, about how many feet will he swim?

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ID = 30

Explain your answer
Question 30 Rusty helps his teacher pass out books 4 times a day. How many times does Rusty help his teacher in 5 days?

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ID = 31

Explain your answer
Question 31 Which number means the same as the one below?

70,000 + 3,000 + 200 + 40 + 7

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ID = 32

Explain your answer
Question 32 Morgan solved the problem below for her homework.

7 x 3 = 21

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ID = 33

Explain your answer
Question 33 Which object is a cylinder?

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ID = 34

Explain your answer
Question 34 Johnny used the rule "double the number" to create the pattern below.

3,6,12, 24, ...

Which pair of numbers is part of the pattern?

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ID = 35

Explain your answer
Question 35 Jay arranged 48 books into 4 equal piles to him find the quotient of 48 ➗ 4. How can Jay use this method to find the quotient of 189 ➗ 9 ?

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ID = 36

Explain your answer
Question 36 Martha is going to make bracelets to sell for a fundraiser. She bought 8 meters of yarn. She wants to cut it into pieces that are 16 centimeters long for each bracelet. How many bracelets can Martha make?

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ID = 37

Explain your answer
Question 37 The table below shows the number of baseball cards Tika collected during four months. What is the best estimate for the number of baseball cards Tika collected in all?

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ID = 38

Explain your answer
Question 38 Which number has the same value as 0.14?

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ID = 39

Explain your answer
Question 39 Look at the calendar below. What best describes the dates that are on Saturdays?

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ID = 40

Explain your answer
Question 40 Stacey used cutouts of two triangles to make the figures below. Which statement is true about the figures?

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ID = 41

Explain your answer
Question 41 Randy creates a pattern using the rule "divide by 3". Which pattern uses Randy's rule?

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ID = 42

Explain your answer
Question 42 Mary used some of the eggs from the carton below to make breakfast. What portion of the eggs did Mary use to make breakfast?



ID = 43

Explain your answer
Question 43 Look at the map below. Which vertex-edge graph represents this map?



ID = 44

Explain your answer
Question 44 Juan wants to solve the problem 27 - 21 ÷ 3 . Which step should Juan do first?



ID = 45

Explain your answer
Question 45 John has 10 pairs of white socks and 1 pair of blue socks in his drawer. There are no other socks in the drawer. Without looking, he takes 1 pair out of the drawer. What are his chances of choosing a white pair of socks?



ID = 46

Explain your answer
Question 46 Nicki's class needs to raise $89.45 in order to have a pizza party. So far, she has collected $62.90. How much more money does Nicki's class need to buy the pizza party?



ID = 47

Explain your answer
Question 47 Look at the number pattern. 972, 324, 108, 36, ... If the pattern continues, what will be the 6th number in the pattern?



ID = 48

Explain your answer
Question 48 Mike left school at 3:40 pm. He arrived at home at the time shown on the clock below. How long did it take Mike to get home from school?



ID = 49

Explain your answer
Question 49 What is the solution to the equation ( 3/5 ) - (2/5) = ?



ID = 50

Explain your answer
Question 50 On Monday, Joel had 17 treats to give his puppy. He gives his puppy 2 or 3 treats each day. The table below shows the number of treats Joel has left at the end of each day. Based on the information in the table, which prediction will most likely to happen if Joel continues to give his puppy 2 or 3 treats each day?



ID = 51

Explain your answer
Question 51 Jim has $7.00 that he uses to purchase school lunch. He spends the same amount of money each day. Which expression can be used to show how much Jim can spend on lunch each day?



ID = 52

Explain your answer
Question 52 Look at the diagram of Laura's yard. Which expression can Laura use to find the perimeter of her yard?



ID = 53

Explain your answer
Question 53 Look at the coordinate plane. Which point is located at (3,5)?



ID = 54

Explain your answer
Question 54 Anna asked her class which subject they liked best. She graphed the results. Click to see the graph. Based on the graph, which statement is true?



ID = 55

Explain your answer
Question 55 The rule for finding the cost of any number of tickets (t) is multiply t by $4. How many tickets will $20 buy?



ID = 56

Explain your answer
Question 56 Which list shows all factors of 72?



ID = 57

Explain your answer
Question 57 Look at the figure. Which fraction represents the shaded part of the figure?



ID = 58

Explain your answer
Question 58 Lizeth is having a birthday party. She invited 19 people. She will buy enough juice boxes so each person can have at least 1. If the juice boxes come in packs of 6, how many packs should Lizeth buy?



ID = 59

Explain your answer
Question 59 Which expression will not solve 59 x 20 ?



ID = 60

Explain your answer
Question 60 Marcus bought a pet frog. He went to a pet store to buy some supplies for the frog's home. He found a list of frog rules in the pet store. Small sized frogs need to live in a 10 gallon tank. All frogs need warm light or sunshine. All frogs need water to keep their skin moist. Frogs eat 5 bugs and worms per day. What information should the pet store owner ask Marcus before he sells him the supplies?



ID = 61

Explain your answer
Question 61 Which pair of figures appears to be congruent?



ID = 62

Explain your answer
Question 62 Dylan had a whole cupcake in his lunch bag. He ate only 1/4 of his cupcake. How much of the cupcake does he have left?



ID = 63

Explain your answer
Question 63 What are the coordinates of the endpoints of the line segment?



ID = 64

Explain your answer
Question 64 Which list is in order from greatest to least?



ID = 65

Explain your answer
Question 65 Sandy solved the problem below in her math class. What is another way that Sandy could solve the problem? Click to see Sandy's solution



ID = 66

Explain your answer
Question 66 Look at the data set. 51, 35, 28, 49, 28, 46, 29. What is the median of the data set?



ID = 67

Explain your answer
Question 67 What is the solution to the equation 3 x 10 + (9 x 2) = ?



ID = 68

Explain your answer
Question 68 Logan Academy students take part in four field trips during the school year. They visit a library, a museum, a park, and a zoo. How many different ways can the four trips be ordered for the school year?



ID = 69

Explain your answer
Question 69 A number cube is labeled with the digits 1 through 6. The cube is tossed once. What is the probability that the cube will land on either a 4 or a 6?



ID = 70

Explain your answer
Question 70 A dolphin was swimming at 20 feet below sea level. Then it dove to 45 feet below its original position. Which integer represents the depth of the dolphin's dive?



ID = 71

Explain your answer
Question 71 Which of the following would be best displayed on a double-line graph?



ID = 72

Explain your answer
Question 72 What is the coordinate of point A? Click to see the number line



ID = 73

Explain your answer
Question 73 Grace measures a bean plant at the end of every week. At the end of week 1, the plant is 4 inches tall. It grows 1/2 inch each week for 5 more weeks. How tall is Grace's bean plant at the end of week 5?



ID = 74

Explain your answer
Question 74 Ms. Cook's class bought 2 bags of concrete and some bricks to build a border for their class garden. The bricks cost $51. The total cost of the bricks and the concrete was $57. Which equations can be used to find the cost, b, of 1 bag of concrete?



ID = 75

Explain your answer
Question 75 Look at the vertex-edge graph. Which statement about the graph is true?



ID = 76

Explain your answer
Question 76 Students agree that the following equations using integers are true. Which statement about adding integers is not true?



ID = 77

Explain your answer
Question 77 Look at the graph. Which situation is best reprsented by the graph?



ID = 78

Explain your answer
Question 78 Sheri asks 83 students at school to choose the sports that they most enjoy watching. The students can choose from baseball, basketball, football, and soccer. The results are shown in the table. Which statement is a reasonable conclusion to make from the information in the table?



ID = 79

Explain your answer
Question 79 Scott ran in a two-day race. The first day he ran 5 3/4 miles. The next day he ran 6 5/8 miles. How many total miles did Scott run?



ID = 80

Explain your answer
Question 80 What is the solution to the equation 72,658 ÷ 313 = ?



ID = 81

Explain your answer
Question 81 To place 0.67, 3/4, and 34% in order from least to greatest. John changes 3/4 to 0.75 and 34% to 0.34. Then he uses the three decimals to correctly place the original numbers in order from least to greatest: 34% , 0.67, 3/4. Which problem is best solved by using this same strategy?



ID = 82

Explain your answer
Question 82 What is the area of the shaded figure?

Augmented Reality to show the concept of Area, Perimeter, and Volume using Geogebra 3D AR



ID = 83

Explain your answer
Question 83 The diagram below shows the length and width of the wall that Tara is going to cover with wallpaper. What is the least amount of wall paper Tara will need to cover the entire area of the wall?



ID = 84

Explain your answer
Question 84 Samantha and Pedro each have 2 fair number cubes. The faces of each cube are numbered 1 through 6. They each rolled their 2 number cubes 50 times and recorded the sum of the numbers rolled. Based on the data in the tables, which statement is not true?



ID = 85

Explain your answer
Question 85 A diagram of Ryan's yard is shown. Which expression can Ryan use to find the total area of his yard?



ID = 86

Explain your answer
Question 86 What is the solution to the equation 5 + 9 x 21 = ?



ID = 87

Explain your answer
Question 87 Which list shows all of the prime numbers between 0 and 22?



ID = 88

Explain your answer
Question 88 Which number is closest to the answer to the problem 39 x 62 ?



ID = 89

Explain your answer
Question 89 What is the next term in the pattern 1.25, 1.95, 2.65, 3.35, ...



ID = 90

Explain your answer
Question 90 Which value for x makes the number sentence true 3x + 10 = 19 ?



ID = 91

Explain your answer
Question 91 Look at the number pattern. 1/4, 1 1/2, 2 3/4, 4, ... What rule is used to get the next term?



ID = 92

Explain your answer
Question 92 Two angles of a triangle add up to 65°. What is the measure of the third angle?



ID = 93

Explain your answer
Question 93 What is 3/5 written as a percent?



ID = 94

Explain your answer
Question 94 Erika is baking cupcakes. The recipe calls for 1 1/4 cups of sugar for the batter, and 1 2/3 for the frosting. About how many total cups of sugar will Erika need for her recipe?



ID = 95

Explain your answer
Question 95 What is the mean of the numbers listed 31, 42, 46, 47, 51, 51, 68 ?



ID = 96

Explain your answer
Question 96 Roberto began his homework at 4:25 p.m. He finished it one and a half hours later. At what time did Roberto finish his homework?



ID = 97

Explain your answer
Question 97 Which figure has only one pair of parallel sides? Click to see the figures



ID = 98

Explain your answer
Question 98 What is the solution to the expression 3 - 4(1/2) + 7 ?



ID = 99

Explain your answer
Question 99 Sand Dollar Elementary is planning a school field trip for its fourth and fifth grade students. The location that the students visit will depend on their names. The chart below shows the options for the field trip locations. Based on the information in the chart, which statement is not true?



ID = 100

Explain your answer
Question 100 What is the solution to the equation 7400.05 - 526.175 = ?



ID = 101

Explain your answer
Question 101 What represents a 2/3 ratio?



ID = 102

Explain your answer
Question 102 The cube shown has a volume of 125 cm3. What is the area of the base of the cube?



ID = 103

Explain your answer
Question 103 There are 3 classes of 22 students making ice cream sundaes. A sundae can be made using one of 3 syrups and one of 3 candy toppings. Each student makes one sundae. Which expression can be used to find the total number of sundaes made by the students.



ID = 104

Explain your answer
Question 104 What is the absolute value of the coordinate of the point shown on the number line?



ID = 105

Explain your answer
Question 105 What is the value of the expression 2 + 7(3.8 - 1.4) = ?



ID = 106

Explain your answer
Question 106 What is equal to 3√27 ?



ID = 107

Explain your answer
Question 107 Each stem-and-leaf plot shows the number of points scored by a team in basketball tournament. How many total scores are represented by all stem-and-leaf plots?



ID = 108

Explain your answer
Question 108 Each stem-and-leaf plot shows the number of points scored by a team in basketball tournament. What is the greatest number of points scored by any team in one game?



ID = 109

Explain your answer
Question 109 What are the possible outcomes (sample space) of the spinner?



ID = 110

Explain your answer
Question 110 Look at the sequence. 15, 3, 0.6, 0.12, ... What is the next number in the sequence?



ID = 111

Explain your answer
Question 111 Look at the equation
2 n + 1.4 = 8.6 Which inverse operations will solve the equation?



ID = 112

Explain your answer
Question 112 Look at the expression.
6 n + 3 What is the value of the expression when n = 2/3 ?



ID = 113

Explain your answer
Question 113 What is the total area of the figure?



ID = 114

Explain your answer
Question 114 What is the value of the expression 6 / 7 ÷ 3 / 4 = ?



ID = 115

Explain your answer
Question 115 Look at points J and K on the number line. Which expression represents the distance between points J and K on the number line?



ID = 116

Explain your answer
Question 116 Kara plans to carpet the entire floor in each of the two rooms shown below. What is the best estimate of the total amount of carpet, in square feet, needed to completely cover both floors?



ID = 117

Explain your answer
Question 117 What is the measure, in degrees, of the angle that is complementary to ∠ RVS?



ID = 118

Explain your answer
Question 118 Which diagram represents the prime factorization of 36?



ID = 119

Explain your answer
Question 119 What are the coordinates of the missing vertex of the parallelogram below?



ID = 120

Explain your answer
Question 120 Vincent's baseball coach suggested that he dirnk one-half gallon of water daily. If Vincent drinks one-half gallon of water, how many 8-ounce glasses will he drink?



ID = 121

Explain your answer
Question 121 On the grid below, points Q, R, and S represent three vertices of a rectangle. What are the coordinates of point T, the vertex that will complete rectangle QRST?



ID = 122

Explain your answer
Question 122 Which expression is the same as 11%?



ID = 123

Explain your answer
Question 123 Rafael performed an experiment by spinning the arrow on a spinner 200 times. His results are recorded in the table below. Which is closest to the number of times he should expect the arrow to land on red section?



ID = 124

Explain your answer
Question 124 Randy has $7.50 to use on buying notebooks for school. If each notebook costs $1.09 including tax, how many can Randy buy?



ID = 125

Explain your answer
Question 125 The scatter plot shows the relationship between the amount of time Casey was at the mall and the amount of money she spent there. Which statement best describes the relationship between the amount of money Casey spent and the amount of time she was at the mall?



ID = 126

Explain your answer
Question 126 Which expression matches the model shown?



ID = 127

Explain your answer
Question 127 Lauren wants to put a brick border around her garden. A drawing of her garden is represented by the shaded section on the grid below. What is closest to the number of meters of brick border Lauren will need to put around her garden?



ID = 128

Explain your answer
Question 128 Look at the table of values. Which equation represents the relationship between x and y?



ID = 129

Explain your answer
Question 129 Valerie has 35 students in her art class. She asked each student what types of activities they like to do and made a Venn diagram of the results. How many students in Valerie's class told her that they only like to draw and sculpt?



ID = 130

Explain your answer
Question 130 Jim and Don are playing darts. Jim has scored 16, 12, and 2 points. Don's turn is after Jim's. Don has scored 12, 10, and 2 points. They have taken the same number of turns. Who is ahead at this time? Which statement does Kelly need for solving the problem?



ID = 131

Explain your answer
Question 131 Look at the graph. If the water continues to drip at the same rate, how many milliliters of water will have dripped at 14 hours?



ID = 132

Explain your answer
Question 132 Which statements explains how to find the area of the figure below?



ID = 133

Explain your answer
Question 133 Which graph shows a reflection of the rectangle across the horizontal dotted line?



ID = 134

Explain your answer
Question 134 Scott delivers the 6th grade newsletter to five rooms at his school. He must find the quickest route. The vertex-edge graph shows the rooms that Scott must deliver to and the time, in seconds, it takes him to get from room to room. If Scott begins and ends at his Homeroom, what is the quickest route for him to take and to make sure he visits each room only once?



ID = 135

Explain your answer
Question 135 A microwave oven is on sale for 20% off the regular price. The sale price is $300. What is the regular price of the microwave oven?



ID = 136

Explain your answer
Question 136 If two parallel lines are cut by a non-perpendicular transversal, which type of angles are not congruent?



ID = 137

Explain your answer
Question 137 The circumference of a circle measures 12.56 inches. What is the measure of the radius of the circle?



ID = 138

Explain your answer
Question 138 The number of students (class size) in each of 7 classes is shown as 15, 25, 25, 29, 31, 32, 37 Which class size affects the range of all 7 classes the most?



ID = 139

Explain your answer
Question 139 Becky created the line graph below to show the distance she traveled during one day. Which activity could be represented by the circled portion of the line?



ID = 140

Explain your answer
Question 140 For which of the following would the use of a table of values not be helpful?



ID = 141

Explain your answer
Question 141 The Venn diagram below shows the number of students in a class who have visited the Grand Canyon, Carlsbad Caverns, or both. There are 34 students in the class, and all of the students have visited at least one of the locations. What is the number of students, x, who have only visited the Grand Canyon?



ID = 142

Explain your answer
Question 142 What is the value of the expression (1/2)y - x ?



ID = 143

Explain your answer
Question 143 The graph below shows the increase in average gasoline prices from Jan. through May. If the gasoline prices continue to increase at the same rate, what will be the average gasoline price in July of that same year?



ID = 144

Explain your answer
Question 144 Max, Owen, Elise, and Cara went to a school carnival. They each played the dart throw, ring toss, water shoot, and basketball throw. Each student won a different game. Clues: Max didn't score any points at the dart throw. Elise correctly tossed 2 rings, but did not win the ring toss. Cara won a bear for outscoring everyone at the water shoot. Owen score more than anyone at the basketball throw. Based on the clues, which game did Max win?



ID = 145

Explain your answer
Question 145 Which expression has a value of -3?



ID = 146

Explain your answer
Question 146 Between which two consecutive integers is the value of this irrational number?



ID = 147

Explain your answer
Question 147 Using the results in the tables, what is the probability of a spinner landing on the letter P in both experiments?



ID = 148

Explain your answer
Question 148 The radius of a circular fish pond is 4 feet. What is the circumference of the pond in terms of π?



ID = 149

Explain your answer
Question 149 On a winter Monday in Prescott, the temperature at 8 a.m. was -8°F. At 1 p.n. it was 27°F. By how many degrees did the temperature change from morning to afternoon?



ID = 150

Explain your answer
Question 150 Dave's neighbors are going on a trip to Japan. He wants them to bring him a souvenir t-shirt, but Japan has its own unit of currency. Conversion 1 US dollar = about 94.73 Japanese yen. Dave gives his neighbors $20.00. About how many Japanese yen will Dave's neighbors be able to spend on his t-shirt?



ID = 151

Explain your answer
Question 151 Karen wants to visit all of the points of interest near her home. She will leave from her home and then visit each place on her vertex-edge graph only once. What is the shortest distance that Karen will travel to each site and then return home?



ID = 152

Explain your answer
Question 152 Ken will conduct a probability experiment by removing a cube from a bag of colored cubes that are all the same size and shape. Ken will use the following procedure. Without looking, remove a cube. Record its color. Put it back in the bag. Repeat the experiment. The probability of drawing a green cube is 1/2. What is the probability that the first 3 cubes that Ken removes will be green?



ID = 153

Explain your answer
Question 153 Alfredo bought 3 new notebooks for school. He paid $2.49 for all the notebooks. Which equation can be used to find n, the cost of each notebook?



ID = 154

Explain your answer
Question 154 The table shows a sequence of numbers. What is the rule for the sequence?



ID = 155

Explain your answer
Question 155 Look at the figure. Which statement can be used to find the total area of the figure?



ID = 156

Explain your answer
Question 156 Which polygon has the same perimeter as the one below?



ID = 157

Explain your answer
Question 157 Which two points on circle Q form an arc?



ID = 158

Explain your answer
Question 158 What is the value of the expression?



ID = 159

Explain your answer
Question 159 What is the solution to the equation?



ID = 160

Explain your answer
Question 160 What is 7.29 x 105 written in standard form?



ID = 161

Explain your answer
Question 161 Which pair of events is dependent?



ID = 162

Explain your answer
Question 162 Which figure is a right prism with a hexagonal base?



ID = 163

Explain your answer
Question 163 Ramon wants to graph his science test scores each week. He will use the graph to determine a trend for his scores based on the days of the week he takes the test. What is the best type of graphic display he should use for this?



ID = 164

Explain your answer
Question 164 Which figure shows the triangle below reflected over the x-axis, then reflected over the y-axis?



ID = 165

Explain your answer
Question 165 Which table of values can be used to graph the equation below?



ID = 166

Explain your answer
Question 166 Jose is having a party and will invite all of his friends. He will supply the following items for each person. 3 slices of pizza, 2 bottles of sports drink, and 1 piece of cake. What information is needed to make sure that Jose has pizza, sports drink, and cake for each person?



ID = 167

Explain your answer
Question 167 What is the solution to the equation ?



ID = 168

Explain your answer
Question 168 What situation could the graph best represent?



ID = 169

Explain your answer
Question 169 There are 6 books on a reading list.Students must read 3 of the books on the list. In how many different ways can a student select 3 books?



ID = 170

Explain your answer
Question 170 Cece scored a 78 on her first math test. She scored an 84 on her second test. What is the percent increase, rounded to the nearest tenth, from Cece's first score to her second score?



ID = 171

Explain your answer
Question 171 How many square feet are there in 288 square inches?



ID = 172

Explain your answer
Question 172 Gary has 10 coins in his pocket 2 quarters, 5 dimes, and 3 nickels. Without looking, Gary pulls one coin from his pocket and put it on a table. Then, he pulls one more coin from his pocket. What is the probability that the first coin is a dime and the second coin is a nickel?



ID = 173

Explain your answer
Question 173 A tower is 160 feet tall and cast a shadow 34 feet long. A person standing next to the tower casts a shadow 1.5 feet long. Which equation will find the height of the person, x?



ID = 174

Explain your answer
Question 174 Melissa earned a score of 75% on her first test. She wants to earn an 85% on her second test. What is the percent increase, rounded to the nearest whole number, from 75% to 85%?



ID = 175

Explain your answer
Question 175 Which shape will create a tesallation using only translations?



ID = 176

Explain your answer
Question 176 A box contains 4 red pencils, 3 blue pencils, and 3 yellow pencils. What is the probability that a student randomly selects a blue pencil, keep it, and then a second student randomly selects a yellow pencil?



ID = 177

Explain your answer
Question 177 Which statement is true?



ID = 178

Explain your answer
Question 178 Look at line segment MN on the coordinate plane. What is the distance between the endpoints of line segment MN?



ID = 179

Explain your answer
Question 179 Emily, Zeke, Harry, and Brook each conducted surveys on the number of books people in their homes. Then they each answered the question below. "Must all measures of central tendency appear as a number in the set of data collected?" Which student's statement is true?



ID = 180

Explain your answer
Question 180 The stem-and-leaf plot represents test scores from two science classes. Which statement about the data is true?



ID = 181

Explain your answer
Question 181 Students submitted pictures for the school yearbook. Only 4/5 of the submitted pictures fit in the yearbook. There were 105 pictures that did not fit. Approximately how many total pictures were submitted for the yearbook?



ID = 182

Explain your answer
Question 182 Look at the number line. Which value does P best represent?



ID = 183

Explain your answer
Question 183 Three linear equations are shown below. Which statement about the three linear equations is incorrect?



ID = 184

Explain your answer
Question 184 A go-cart has a maximum weight limit of 240 pounds. Which inequality correctly represents this weight limit, W?



ID = 185

Explain your answer
Question 185 Joe is creating a number pattern. He begins the pattern with the number 3. Each number after 3 is twice the number before it, plus 1. Which pattern fits Joe's rule?



ID = 186

Explain your answer
Question 186 Which number is irrational?



ID = 187

Explain your answer
Question 187 What is the value of the expression?



ID = 188

Explain your answer
Question 188 Santos has a job after school. He earns $8 per hour. Which equation will determine h, the number of hours he needs to work to earn $44?



ID = 189

Explain your answer
Question 189 Look at the figure. Based on the figure, which equation is not true?



ID = 190

Explain your answer
Question 190 The shaded piece has been transformed into a frieze pattern. Which transformations best describe how the pattern was created?



ID = 191

Explain your answer
Question 191 What is the value of the expression?



ID = 192

Explain your answer
Question 192 In circle P, which of the following create a secant?



ID = 193

Explain your answer
Question 193 A right cylinder has a height of 5 inches and a radius of 7 inches. What is its volume in terms of π



ID = 194

Explain your answer
Question 194 The student council is making gift bags for a fund raiser. They have 105 bags, 150 pens, 115 notebooks, 330 pencils, and 190 highlighters. If each gift bag consists of one bag, 2 pens, 1 notebook, 3 pencils, and 2 highlighters, what is the greatest number of gift bags that can be made?



ID = 195

Explain your answer
Question 195 What is the value of the expression?



ID = 196

Explain your answer
Question 196 John is comparing his quiz scores from two weeks in math class. Which summary statistics is the same for both weeks?



ID = 197

Explain your answer
Question 197 The directed graph shows the results of a chess tournament among 4 players. Edgar won his match against Frankie. Who won the least number of games?



ID = 198

Explain your answer
Question 198 What equation is the rule for the function illustrated by the table of values?



ID = 199

Explain your answer
Question 199 What is the value of the expression?



ID = 200

Explain your answer
Question 200 Which situation is best represented by the graph?



ID = 201

Explain your answer
Question 201 Joe needs to find the midpoint of a line segment on a coordinate plane. Given the coordinates of the endpoints, what is the best way for him to find the midpoint of the line segment?



ID = 202

Explain your answer
Question 202 Martin is buying a fish tank. For the tank, he wants 10 clownfish, a few plants, and some stones for the bottom. He wants to make sure that the tank is large enough for the fish to swim comfortably. What does he need to ask the salesman in order to make sure he buys a large enough tank?



ID = 203

Explain your answer
Question 203 Sandra wrote the sequence below. Which equation represents the rule for finding the nth term of this sequence?



ID = 204

Explain your answer
Question 204 A team has twelve 15-year-old players and eight 16-year-old players. The coach of the team is 43 years old. Which measure of central tendency best represents the ages of the team, including the coach and why?



ID = 205

Explain your answer
Question 205 Which does not represent y as a function of x?



ID = 206

Explain your answer
Question 206 Jessica deposits $300 into a savings account that pays an annual interest rate of 2% compounded twice a year. How much money will Jessica have in her account at the end of one year?



ID = 207

Explain your answer
Question 207 A telephone company wants to create as many 7-digits phone number as possible without changing the first 3 digits. How many phnoe numbers can be created?



ID = 208

Explain your answer
Question 208 How much greater is the volume of a cube when the length of each edge is multiplied by 3?



ID = 209

Explain your answer
Question 209 The data below represents the scores for a soccer team in seven games. Which measure of central tendency best represents the overall performance of the soccer team, and why?



ID = 210

Explain your answer
Question 210 Look at the recursive formula. What are the first 4 terms of this sequence?



ID = 211

Explain your answer
Question 211 Which point on the number line shows the best estimate of the irrational number below?



ID = 212

Explain your answer
Question 212 What is the value of x?



ID = 213

Explain your answer
Question 213 Figure EFGH has a perimeter of 40 cm and an area of 96 cm2. It is dilated by a factor of 1/4 to create figure E'F'G'H'. What statement about the perimeter (p) and the area (A) of figure E'F'G'H' is true?



ID = 214

Explain your answer
Question 214 The area of a larger square is 16 times the area of a smaller square. How many time as long is the base of the larger square than the base of the smaller square?



ID = 215

Explain your answer
Question 215 What is the distance between -4 and 3 ?



ID = 216

Explain your answer
Question 216 Six differently colored balls (red, blue, green, orange, purple, and white) are placed in a basket. Without looking, three balls are removed. What is the total number of combinations that include a red ball?



ID = 217

Explain your answer
Question 217 Which pair of events is dependent?



ID = 218

Explain your answer
Question 218 Which statement has a false inverse?



ID = 219

Explain your answer
Question 219 Joe has the following information about a trapezoid. Which equation can Joe write to find the unknown base length, b2 for the trapezoid?



ID = 220

Explain your answer
Question 220 The coordinates (2,2) and (-3,1) are two of the vertices of the figure on the coordinate plane. What are the coordinates of the midpoint of the two vertices?



ID = 221

Explain your answer
Question 221 Debbie and Jamal each performed an experiment in which they spun a fair spinner 12 times. They recorded their results. What outcome has a probability of 0?



ID = 222

Explain your answer
Question 222 Look at the 3-dimensional figure. What is the total surface area of the figure?



ID = 223

Explain your answer
Question 223 Look at the triangle. What is not a possible value of x ?



ID = 224

Explain your answer
Question 224 Chords line segment NP and line segment MQ intersect at point S in circle R. If line segment MS = 3, NS = 2, and SQ = 8, what is the length of line segment SP?



ID = 225

Explain your answer
Question 225 Look at circle M. What is the value of x ?



ID = 226

Explain your answer
Question 226 Which table represents y as a function of x ?



ID = 227

Explain your answer
Question 227 What is the graph of the equation y = x2 - 4x + 4



ID = 228
Explain your answer
Question 228 What are the values of x in the equation shown?



ID = 229

Explain your answer
Question 229 The table shows a sequence of figures, the number of squares in each figure, and the perimenter of each figure. Based on the pattern shown, which conjecture is valid?



ID = 230

Explain your answer
Question 230 Triangle PQR is shown. What are the coordinates of P' when △ PQR is dilated by a scale factor of 3 using the origin as the center?



ID = 231

Explain your answer
Question 231 What is the value of the expression?



ID = 232

Explain your answer
Question 232 What is the solution to the equation shown?



ID = 233

Explain your answer
Question 233 What is the complete factorization of the polynomial shown?



ID = 234

Explain your answer
Question 234 Look at the following equations. 8p = 12-2q and q + 4p = 6. Which statement is true about the lines graphed from the equations?



ID = 235

Explain your answer
Question 235 Points N,P,R, and Q lie on circle O. In circle O, what is the measurement of angle PMN written mathematically as m∠PMN?



ID = 236

Explain your answer
Question 236 In the diagram below, line segment RT intersects line segment QU at point S. Which postulate should be used to prove that
triangle ∆ RQS is congruent (approximately equal to) written mathematically ≅ triangle ∆ TUS?



ID = 237

Explain your answer
Question 237 Assume the statement shown below is true."if P, then Q." based on this assumption, which of the following must be true?



ID = 238

Explain your answer
Question 238 Look at the expression. -2a[-2a(-2a+4b) + 3b(-a-6)]. Which of the following correctly simplifies the expression?



ID = 239

Explain your answer
Question 239 The statements below are out of order.

Statement W: If blitz, then kerd.
Statement X: If mot, then det.
Statement Y: If kerd, then mot.
Statement Z: If toc, then blitz.

Which list shows the if...then statements in logical order?



ID = 240

Explain your answer
Question 240 Janelle's cell phone company charges a monthly fixed rate for the first 1,000 minutes, and then charges for each additional minute. Which graph best represents Janelle's monthly cell phone plan?



ID = 241

Explain your answer
Question 241 What are the y-intercept and the slope of the graph of the following equation?

- 2x + 4y = 8



ID = 242

Explain your answer
Question 242 Which of the following best represents the graph of the inequality y < ½ x + 3 ?



ID = 243

Explain your answer
Question 243 Which pair of figures is structurally similar?



ID = 244

Explain your answer
Question 244 Points (-1,8) and (3,5) lie on a coordinate plane. What is the distance between the two points?



ID = 245

Explain your answer
Question 245 What is the distance between points M(3,1) and N(-2,4) on the graph below?



ID = 246

Explain your answer
Question 246 Which set of numbers represent an infinite set?



ID = 247

Explain your answer
Question 247 Earth's mean temperature is 59°F, and it is 9.3 x107 miles from the sun. Mar's mean temperature is -85° F, and it is 141.6 x 106 miles from the sun. Which matrix represents these data?



ID = 248

Explain your answer
Question 248 Which statement has a true converse?



ID = 249

Explain your answer
Question 249 Trapezoid JKLM is shown below. What is the length of KM?



ID = 250

Explain your answer
Question 250 Study RST on the grid below. When RST is translated 4 units down, what are the apparent coordinates of T'.



ID = 251

Explain your answer
Question 251 The coach wants to introduce each of the starting players at Tuesday's game in how many different order can each of the the 5 starting players be introduced?



ID = 252

Explain your answer
Question 252 Which equation represents the data in the table?



ID = 253

Explain your answer
Question 253 Which expression is the nth term of the quadratic sequence shown in the table below?



ID = 254

Explain your answer
Question 254 A committee consisting of 5 teachers will be chosen from a staff of 25 teachers. To find the number of different possible 5-teacher committees, which should be used?



ID = 255

Explain your answer
Question 255 Bob created a number pattern beginning with 3. He created the next term by doubling the previous term and subtracting 1. The first 5 terms of the number pattern are shown below.

3, 5, 9, 17, 33, . . .

What is the 7th term in Bob's number pattern?



ID = 256

Explain your answer
Question 256 What is the value of the expression below

a2 + |ab| when a = -4 and b = 3 ?



ID = 257

Explain your answer
Question 257 Which could be the graph of the equation below?

y = 1/3 x - 2



ID = 258

Explain your answer
Question 258 Student council members plan to sell shaved-ice cones to raise funds. They will spend $200.00 for supplies and whill charge $1.00 for each shaved-ice cone. Which graph represents P, their profit, as a function of n, the number of cones sold?



ID = 259

Explain your answer
Question 259 A polygon has been rotated about the origin. Which statement must be true?



ID = 260

Explain your answer
Question 260 Study the triangle below. What is the cosine of ∠X?



ID = 261

Explain your answer
Question 261 Which is the graph of y = x2 + 2 ?



ID = 262

Explain your answer
Question 262 Which is the apparent graph of y = 2/3 x - 4 ?



ID = 263

Explain your answer
Question 263 The formula for the lateral area of a pyramid is A = 1/2 pl. What is p in terms of A and l ?



ID = 264

Explain your answer
Question 264 The rule for a particular number pattern is to multiply the immediately preceding term by 2 then add 1. The first four terms of this number pattern are given below.

-2, -3, -5, -9, . . .

What is the 6th term of the number pattern?



ID = 265

Explain your answer
Question 265 What is the apparent solution to the system of equations graphed below?



ID = 266

Explain your answer
Question 266 Three transformation will be performed on triangle ∆ ABC. Which set of transformation



ID = 267

Explain your answer
Question 267 The stem-and-leaf plot below shows test scores for 25 students. Which box-and-whisker plot correctly displays the data in the stem-and-leaf plot?



ID = 268

Explain your answer
Question 268 Study the proportion below.

  -2   
x - 7
=   5     
x + 21
What value of x makes the proportion true?



ID = 269

Explain your answer
Question 269 A teacher must select 2 students from a list of 4 students. How many distinct groups of 2 students are possible?



ID = 270

Explain your answer
Question 270 Study the quadratic equation below.

2x2 + 3x - 20 = 0

Which of the following shows two solutions to the equation?



ID = 271

Explain your answer
Question 271 Which of the following does not show a close approximation?



ID = 272

Explain your answer
Question 272 Jan proved that the two triangles below are congruent. Which postulate did Jan use for her proof?



ID = 273

Explain your answer
Question 273 The table below shows information about the members of a concert choir at a high school. Which of the following graphs best describes the choir's membership data?



ID = 274

Explain your answer
Question 274 What is the value of x in the figure below?



ID = 275

Explain your answer
Question 275 The number cube shown is numbered 1 through 6 on its faces. When the cube is tossed once, what is the probability a number divisible by three will be on the top face?



ID = 276

Explain your answer
Question 276 Let n be any even integer. Which of the following is always true about (n + 5) ?



ID = 277

Explain your answer
Question 277 Points A, B, and C lie on circle M, as shown below. What is the measure of ∠ BMC if the measure of arc BAC is 320° ?



ID = 278

Explain your answer
Question 278 XYZ is translated 3 units to the right and 2 units down. What will be the apparent coordinates of the image of point X?



ID = 279

Explain your answer
Question 279 Which of the following are inverse operation?



ID = 280

Explain your answer
Question 280 The diagram below shows a building, a nearby flagpole, and their shadows. Based on the information in the diagram, what is x, the length of the shadow of the building?



ID = 281

Explain your answer
Question 281 In the pattern below, each term is found by doubling immediately the preceding term and adding 1

3, 7, 15, 31, 63, . . .

What is the 7th term in the pattern?



ID = 282

Explain your answer
Question 282 Based on the diagram below, which of these arguments is valid?



ID = 283

Explain your answer
Question 283 Which statement is true?



ID = 284

Explain your answer
Question 284 Which expression below has been simplified using the correct procedure?



ID = 285

Explain your answer
Question 285 Which procedure correctly simplifies the expression below?



ID = 286

Explain your answer
Question 286 Which of the graphs below contains a line of best fit that best represents the data?



ID = 287

Explain your answer
Question 287 The table below shows the percentage of the most popular colors of sports cars made during 2002. Which component causes the data to seem distorted?



ID = 288

Explain your answer
Question 288 Sam began a pattern with 4 and 7. He added them to get 11, the third term. To get each term after the third, he added the two preceding terms.

4, 7, 11, 18, 29, . . .

What is the 9th term in this sequence?



ID = 289

Explain your answer
Question 289 The set of real numbers shown below is a subset of which of the following?



ID = 290

Explain your answer
Question 290 Triangle ∆ ABC is show below. What is the cosine of angle B?



ID = 291

Explain your answer
Question 291 A 4th degree polynomial expression has the form shown below. In the expression

5x4 - 7x3 - 3x2 + 8x - 4, what is the value of a3?



ID = 292

Explain your answer
Question 292 The formula for the surface area of a cube is A = 6s2.

What is the formula for s in terms of A?



ID = 293

Explain your answer
Question 293 The graph below shows the percent of the moon's face illuminated for the month of April. On What day in April did the moon reach its maximum illumination?



ID = 294

Explain your answer
Question 294 Which is a correct procedure for solving the linear inequality below?

2y + 8 > 4 - 6y



ID = 295

Explain your answer
Question 295 Which of the following function of x has the apparent range of { y: y ≥ 0} ?



ID = 296

Explain your answer
Question 296 The Palmdale High School varsity basketball team's total points per game for this year's season is shown below.

Which stem-and-leaf plot could be used to correctly display the data?



ID = 297

Explain your answer
QUESTION 297 If b ≠ 0, which equation is equivalent to the one shown below?

ax + by = c



ID = 298

Explain your answer
QUESTION 298 If the sum of the measures of two angles is 90°, then the angles are complementary. In the triangle ABC, m∠A = 25°, m∠B = 65° , m∠C = 90°

Which valid conclusion follows directly from the previous statements?



ID = 299

Explain your answer
QUESTION 299 What is the solution to the inequality below?

-3x-1 ≤ 5



ID = 300

Explain your answer
QUESTION 300 The first two terms in a sequence are shown below. Each term after the first is found by rotating the arrow 45° clockwise. What will be the 7th term in the sequence?



ID = 301

Explain your answer
QUESTION 301 In a cafeteria survey, 300 students chose one favorite lunch from 4 choices. The probability that a randomly selected student chose pizza was 0.25. Which data set support this conclusion?



ID = 302

Explain your answer
QUESTION 302 Which rule could be used to find each term, after the second, in the recursive sequence shown below?

2, 3, 6, 18, 108, . . .



ID = 303

Explain your answer
QUESTION 303 In the diagram below BP PK and AP PJ What additional information is sufficient to prove ∆ APB ≅ ∆ JPK by side-angle-side (SAS) ?



ID = 304

Explain your answer
QUESTION 304 A pattern is defined by the following rules. The first term is 4. The second term is 7. Each term after the second is found by adding 3 to the immediately preceding term. What is the fifth term in this pattern?



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