A group of people were polled to find whether or not they attended a community college or a university during their college career.

The results of the poll are shown below. 6 people attended both a community college and a university 17 people attended just a community college 28 people attended just a university 9 people attended neither a community college nor a university

Which two-way table represents the results of the poll?

W. X.

Y. Z.

A. Y

B. X

C. Z

D. W

2.

Note: Figure is not drawn to scale

If the sphere shown above has a radius of 7 units, then what is the approximate volume of the sphere?

A. 1,795.03 cubic units

B. 718.01 cubic units

C. 1,436.03 cubic units

D. 615.44 cubic units

3. Directions: Drag each number to the correct location on the image.

Classify the real numbers below as rational or irrational numbers.

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4. Directions: Drag each image to the correct graph.

Choose the correct line of best fit for each of the scatter plots below.

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5. Compare the rates of change of the following items.

A. The rate of change of item I is equal to the rate of change of item II.

B. The rate of change of item II is greater than the rate of change of item I.

C. The rate of change of item I is greater than the rate of change of item II.

6. Directions: Drag the tiles to the correct boxes to complete the pairs.

In each graph, figure I was dilated, with center of dilation at the origin, to form figure II.  Match the dilations with their associated scale factor.

Scale Factor of 3

Scale Factor of 2

Scale Factor of 

Scale Factor of 

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7. For delivery orders, customers must order at least two dozen donuts. The first two dozen donuts cost $4.99 each.additional donuts ordered cost $3.99 per dozen.

If x represents the number of additional dozens of donuts, which of the following equations can be used to find the cost of the order, not including tax or a delivery charge?

A. y = 4.99x + 3.99

B. y = 9.98x + 3.99

C. y = 3.99x + 9.98

D. y = 3.99x + 4.99

8. Directions: Drag the tiles to the correct boxes to complete the pairs.  Not all tiles will be used.

Match the correct expression to the correct solution.

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9. Determine which two values the following number is between.

A. 5.62 and 5.63

B. 5.61 and 5.62

C. 5.6 and 5.61

D. 5.59 and 5.6

10. Tabitha is renting a ballroom for an upcoming dinner reception. The rental fee for the ballroom includes a base price plus the cost of dinner per person. The table below shows the cost of the ballroom rental in relation to the number of people attending the dinner reception.

No. of Attendees 15 30 45Total Rental Cost $395 $515 $635

What is the base price for the ballroom rental?

A. $8

B. $120

C. $55

D. $275

11. What is the length of the longest side of a triangle that has the vertices (3, 5), (-4, 5), and (-4, 3)?

A.

B.

C.

D.

12. Directions: Drag each label to the correct location on the image.  Not all labels will be used.Given the volume of the cone below, identify the radius, height, and diameter.Note: Figure is not drawn to scale.

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13. At some companies, employees accrue vacation days based on the number of years they have been at the company. The graph below shows a line of best fit for data collected on the number of vacation days accrued by employees at different companies.

The equation for the line of best fit is shown below.

Based on the line of best fit, if an employee works at a company for six years, how much vacation time will he or she accrue?

A. 20 days

B. 6 days

C. 13 days

D. 15 days

14. Directions: Select the correct answer from each drop-down menu.A group of friends watched a comedy movie marathon starring a group of comedians.  The graph below shows the number of movies watched and the number of hours of sleep the friends had slept between Saturday and Sunday.  Each dot represents one of the friends.

Finish the statements about the graph.If a line of best fit were drawn to represent the data in the scatter plot, it would show that as the number of

movies  , the number of hours of sleep decreased.

There is   association between the number of movies and the 

15. Which of the following best describes the solution to the equation below?

10x + 19 = -28 + 10x

A. no real solutions

B. exactly one real solution,

C. infinite real solutions

D. exactly one real solution,

16. Coach Rawlings wants to determine if there is an association between the length of a student's arm and the distance the student can throw a discus.

Which of the following can be interpreted from this data?

A. There is a negative association between the length of a student's arm and the distance the student can throw a discus.

B. There is both a positive and a negative association between the length of a student's arm and the distance the student can throw a discus.

C. There is a positive association between the length of a student's arm and the distance the student can throw a discus.

D. There is no association between the length of a student's arm and the distance the student can throw a discus.

17.

The translation above shows an object moving ______________.

A. 7 units to the right and 5 units down

B. 5 units to the left and 7 units up

C. 7 units to the left and 5 units up

D. 5 units to the right and 7 units down

18. Which shows the expression below in simplified form?

(8.9 × 10-2) - (1.8 × 10-5)

A. 8.882 × 10-3

B. 8.882 × 10-2

C. 8.8982 × 10-3

D. 8.8982 × 10-2

19. Which value of x makes the following equation true?

3(x - 4) - 16 = 2(x - 8) + 7

A. 11

B. 27

C. 19

D. 15

20. Compare the rates of change of the following table and graph.

x y1 -42 -83 -124 -16

A. There is not enough information to determine the rates of change.

B. The rate of change of the graph is greater than the rate of change of the table.

C. The rate of change of the table is equal to the rate of change of the graph.

D. The rate of change of the table is greater than the rate of change of the graph.

21. Directions: Drag each equation to the correct location on the model.

Classify each of the equations below according to the number of solutions. 5x - 20 = 3(x - 4)

8(x + 7) = 6(x - 4)

12x + 21 = 3(4x + 6)

24x + 12 = 2(12x + 6)

5(x + 8) - 7x = -(2x - 4)

2(x + 12) - 2x = 3(x - 2)

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22. x y

1 11

2 20

3 35

4 56

5 83

The table above represents what type of function?

A. linear and nonlinear

B. linear

C. neither linear nor nonlinear

D. nonlinear

23.

Note: Figure is not drawn to scale.

Lines MN and GH are parallel. If m S is 46°, then what is m Y?

A. 46°

B. 134°

C. 51°

D. 314°

24. Directions: Select all the correct answers.Identify all correct representations of the solution to the system below.

 

 

 

 

 

the intersection of the lines x = -2 and y = 0.

 

 

the intersection of the lines x = 1 and y = -3.

 

 

the intersection of the lines x = 0 and y = -2.

 

25. Which of the following best describes the solution to the system of equations below?

9x + 8y= 79x + 8y= 12

A.The system of equations has exactly one solution where   and  .

B. The system of equations has no solution.

C. The system of equations has exactly one solution where   and  .

D. The system of equations has infinitely many solutions.

26. Directions: Select all the correct answers.

Use the diagram above to determine which group of side lengths would form a right triangle.

 

20, 21, 29

 

 

12, 35, 37

 

 

11, 32, 34

 

 

7, 24, 27

 

 

8, 15, 19

 

27. Solve the following system of equations.

9x + 4y = -363x + y = -6

A. x = 12, y = -42

B. x = 4, y = -18

C. x = -18, y = 4

D. x = 5, y = -20.25

28. Directions: Type the correct answer in each box.  Use numerals instead of words.  If necessary, use / for the fraction bar(s).Jaren is the manager of a department store.  The morning of a big holiday sale, when Jaren opened the door, customers were waiting outside to come into the store.Each hour the store is open, another 13 customers enter the store, and 8 customers leave the store.  Use this information to complete the table below.

Hours Open

Number of CustomersIn the Store

0 12

1 17

2 22

3

4

The x-values represent the number of hours the store is open.  The y-values represent the number of customers in the store.

The equation which represents the number of customers in the store is y =  x + 

29. Daniel is planning to go camping, but he lost the pole that supports the middle point of the tent. A cross-section of the tent is shown below. The base of the tent measures 80 inches wide, and the length from the top point of the tent to the corners of the base is 85 inches.

Note: Figure is not drawn to scale.

What is the length of the pole that Daniel needs to support the middle of the tent?

A. 150 inches

B. 75 inches

C. 60 inches

D. 80 inches

30. Directions: Select all the correct answers.CupCaking, a cupcake bakery, uses the equation below to determine the price of cupcakes, wherey represents the total price in dollars and x represents the number of cupcakes purchased.

Cake Me, another cupcake bakery, uses the table below to determine prices.

Number of Cupcakes (x)

Price ($) (y)

2 3.50

3 5.25

4 7.00

6 10.50

Katie bought one cupcake from CupCaking and Sarah bought one cupcake from Cake Me.Which of the following are true?

 

Katie is paying the smaller price of $1.50 per cupcake.

 

 

They are paying the same price per cupcake.

 

 

Sarah is paying $0.25 per cupcake more than Katie.

 

 

Sarah is paying the smaller price of $1.25 per cupcake.

 

 

Katie is paying $0.25 per cupcake more than Sarah.

 

31. Directions: Select all the correct answers.The art teacher made an assignment for the class to create a map of their neighborhood.Margie colored in the distance from her best friend's house to her house and wrote on the map that the distance

was   of a mile.Which of the following distances are the same as    of a mile?

 

 of a mile

 

 

 of a mile

 

 

 of a mile

 

 

 of a mile

 

 

 of a mile

 

 

 of a mile

 

32. The manager of a movie theater collected data from customers who bought tickets to a comedy or an action movie on whether or not they purchased popcorn at the theater. The two-way table below shows the data collected.

Popcorn No Popcorn Total

Comedy 161 87 248

Action 53 99 152

Total 214 186 400

Which correlation does the two-way table suggest?

A. None of the correlations listed are correct.

B. Customers who buy tickets to the comedy tend to buy popcorn.

C. Customers who buy tickets to the comedy tend to not buy popcorn.

D. Customers who buy tickets to the action movie tend to buy popcorn.

33. Directions: Drag the tiles to the correct boxes to complete the pairs.  Not all tiles will be used.

Match the square roots with the correct numbers. 11

50

40.5

10

12

9

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34. Directions: Select all the correct answers.Ramon surveyed 40 men and women to see how many like dancing. The following table represents his results.

Men Women Total

Like Dancing 7 12 19

Do Not Like Dancing 13 8 21

Total 20 20 40Which correlations are suggested by the two-way table?

 

Most men tend to not like dancing.

 

 

Most women tend to like dancing.

 

 

Most of the people who like dancing are men.

 

 

Most men tend to like dancing.

 

 

Most of the people who like dancing are women.

 

 

Most women tend to not like dancing.

 

35. Directions: Type the correct answer in each box.  Spell each word correctly and use numerals instead of words.  If necessary, use / for the fraction bar(s).Determine the measure of each exterior angle.

The measure of angle A is  °.

The measure of angle B is  °.

The measure of angle C is  °.

36. Simplify the following expression.

(47)2

A. 45

B. 414

C. 472

D. 49

37.

W. X.

Y. Z.

Which graph shows a reflection across the y-axis?

A. X

B. W

C. Z

D. Y

38. The graph below shows the amount of money a store earns for selling T-shirts.

What is the rate of change for the graph?

A. $20 per T-shirt

B. $2 per T-shirt

C. $10 per T-shirt

D. $40 per T-shirt

39.

Which of the following is true, based on the scatter plot above?

A. The larger the apartment, the less it costs to rent.

B. The more times a person moves, the more they pay in rent.

C. The larger the apartment, the more it costs to rent.

D. There is no relationship between the size of the apartment and its monthly rent.

40. Which of the following best describes the equation below?

y = 6x + 12

A. neither linear nor nonlinear

B. linear

C. both linear and nonlinear

D. nonlinear

41. Identify the missing symbol.

A. <

B. =

C. >

42. Directions: Drag the tiles to the boxes to form correct pairs.  Not all tiles will be used.

Simplify the expressions, and match the expressions that are equal in value.

Reset

43.

In triangle UVW, the measure of  WUV is 112° and the measure of  UVW is 38°. In triangle XYZ, the measure of  ZXY is 112° and the measure of  YZX is 30°. Determine how triangles UVW and XYZ can be shown to be similar.

A. Since  WUV    ZXY and  UVW    XYZ, the triangles are similar by angle-angle.

B. Since  WUV    ZXY and UV = XZ, the triangles are similar by angle-side.

C. Since  WUV    ZXY and  UVW    YZX, the triangles are similar by angle-angle.

D. Since  WUV    ZXY and UV = YZ, the triangles are similar by angle-side.

44. Which of the following represents a function?

A. x -13 -6 -4 -6

y 15 13 15 14

B. x -13 -6 -4 -4

y 15 13 15 14

C. x -13 -6 -4 4

y 15 13 21 15

D. x -13 -6 -13 4

y 15 15 21 14

45. Which of the following best describes the triangles shown below?

A. Triangle 1 and triangle 2 are congruent because triangle 2 can be created by rotating, reflecting, and/or translating and dilating triangle 1.

B. Triangle 1 and triangle 2 are congruent because triangle 2 can be created by rotating, reflecting, and/or translating triangle 1.

C. Triangle 1 and triangle 2 are similar because triangle 2 can be created by rotating, reflecting, and/or translating and dilating triangle 1.

D. Triangle 1 and triangle 2 are similar because triangle 2 can be created by rotating, reflecting, and/or translating triangle 1.

46. Directions: Select all the correct answers.Linda had a garage sale.   She set up three tables at the garage sale and all items on the same table cost the same amount.  On table A, items cost $1.25 each.  On table B, items cost $1.35 each.  On table C, items cost $1.50 each.Tommy, Denise, Brayden, Arielle, Erik, and Salena all have the same amount to spend at the garage sale and each person bought items off of just one table.  The purchases made are shown below.

Name Number of Items Change

Arielle 10 $6.50

Brayden 11 $3.50

Denise 9 $7.85

Erik 6 $12.50

Salena 11 $5.15

Tommy 5 $12.50

Who bought items from the same table?

 

Brayden and Tommy

 

 

Denise and Erik

 

 

Salena and Arielle

 

 

Brayden and Denise

 

 

Erik and Tommy

 

 

Salena and Brayden

 

47. Simplify: 

A. 9

B. 10

C. 7

D. 8

48. Which shows the expression below in simplified form?

(9 × 106) × (8 × 10-2)

A. 7.2 × 105

B. 7.2 × 104

C. 7.2 × 103

D. 17 × 104

49. Directions: Select the correct answer from each drop-down menu.

How does the function created from the table below compare to the function above?

x y

1 9

3 15

6 24

8 30

11 39

The equation that the values in the table represent is  , so the table

represents   function.

The equation represents   function, because it   have aconstant slope.

50. A small college opened in 1999. In the linear model below, x represents the number of years after 1999, and y represents the student population. Interpret the slope.

y = 576 + 173x

A. An additional year of the college being open is associated with an additional 403 students.

B. An additional year of the college being open is associated with an additional 749 students.

C. An additional year of the college being open is associated with an additional 576 students.

D. An additional year of the college being open is associated with an additional 173 students.

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