6 People Attended Both a Community College and a University

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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.
Reset
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.Any additional donuts ordered cost $3.99 per dozen.
Ifxrepresents 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 / 45
Total 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 forsix 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 watcheda 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 increased decreased remained the same , the number of hours of sleepdecreased.
There is a positive a negative no association between thenumber of movies and the number of hours of sleep genre of the movies actors in the movies .
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 ofxmakes 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 / y
1 / -4
2 / -8
3 / -12
4 / -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 mS is 46°, then what is mY?
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 linesx= -2andy= 0.
the intersection of the linesx= 1andy= -3.
the intersection of the linesx= 0andy= -2.
25. / Which of the following best describes the solution to the system of equations below?
9x+ 8y / = / 7
9x+ 8y / = / 12
A. / The system of equations has exactly one solution whereand.
B. / The system of equations has no solution.
C. / The system of equations has exactly one solution whereand.
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= / -36
3x+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,12 customerswere waiting outside to come into the store.
Each hour the store is open, another13 customersenter the store, and8 customersleave the store.Use this information to complete the table below.
Hours Open / Number of Customers
In the Store
0 / 12
1 / 17
2 / 22
3
4
Thex-valuesrepresent the number of hours the store is open.They-valuesrepresent the number of customers in the store.
The equation which represents the number of customers in the store isy=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 measures80 incheswide, 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, whereyrepresents the total price in dollars andxrepresents 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 wasof 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 / 40
Which 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 they-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 ofWUV is 112° and the measure ofUVW is 38°.In triangle XYZ,the measure ofZXY is 112° and the measure ofYZX is 30°.Determine how triangles UVW and XYZ can be shown to be similar.
A. / SinceWUVZXY andUVWXYZ, the triangles are similar by angle-angle.
B. / SinceWUVZXY and UV = XZ, the triangles are similar by angle-side.
C. / SinceWUVZXY andUVWYZX, the triangles are similar by angle-angle.
D. / SinceWUVZXY 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 y = 3x + 6 y = 3x(x + 2) y = 7x + 2 y = 9x , so the table represents neither a linear nor nonlinear a nonlinear a linear function.
The equation represents neither a linear nor nonlinear a linear a nonlinear function,becauseit does not does haveaconstant slope.
50. / A small college opened in 1999.In the linear model below,xrepresents the number of years after 1999, andyrepresents the student population.Interpret the slope.
y= 576 + 173x
A. / An additional year of the college being open is associated with an additional403 students.
B. / An additional year of the college being open is associated with an additional749 students.
C. / An additional year of the college being open is associated with an additional576 students.
D. / An additional year of the college being open is associated with an additional173 students.

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