Free Printable Acc - Cumulative Test Review

1.

Summer Packet:

Simplify:

$-4^2+\left(-4\right)^2$

a)

0

b)

32

c)

-32

d)

-16

2.

Summer Packet:

Simplify:

$-5\frac{1}{3}+\left(-2\frac{1}{2}\right)$

a)

$-7\frac{5}{6}$

b)

$7\frac{5}{6}$

c)

$-2\frac{5}{6}$

d)

$2\frac{5}{6}$

3.

Expressions:

Which expression below represents the perimeter of the polygon?

a)

11x + 12

b)

$11x^4+12$

c)

$30x^4+12$

d)

30x + 12

4.

Expressions:

Find the GCF of the expression below

$9x^3y^6-30x^5y^4+51x^8y$

a)

$3x^3y$

b)

9xy

c)

$x^8y^6$

d)

9

5.

Expressions:

Simplify: $\left(3x-2\right)^2$

a)

$9x^2-12x+4$

b)

$9x^2+4$

c)

$6x^2+4$

d)

$9x^2-8x+\text{4}$

6.

Expressions:

The area of the town pool in Madison is (12x + 5). The area of the town pool in Livingston is (10x - 3). How much bigger is the pool in Madison than the one in Livingston?

a)

(2x + 8)

b)

(2x + 2)

c)

(22x + 8)

d)

(22x + 2)

7.

Expressions:

Factor using the coefficient of the variable:

$\frac{3}{4}x\ +\ 9$

a)

$\frac{3}{4}\left(x\ +\ 12\right)$

b)

$\frac{3}{4}\left(x\ +\ 6\frac{3}{4}\right)$

c)

$\frac{3}{4}$

d)

$\frac{3}{4}\left(x+16\right)$

8.

Expressions:

Factor completely:

$18x^5y^5-30x^3y^4-3x^2y^2$

a)

$3x^2y^2\left(6x^3y^3-10xy^2-1\right)$

b)

$3x^2y^2\left(6x^3y^3-10xy^2\right)$

c)

$3x^2y^2$

d)

$18x^2y^2\left(x^3y^3-1\frac{2}{3}xy^2-\frac{1}{6}\right)$

9.

Equations:

You are given that the perimeter of the triangle to the right is 72 inches, find the length of the shortest side.

a)

7

b)

14

c)

17

d)

41

10.

Equations:

How many solutions would make the following equation true?

3x + 4(3x + 7) = 3(5x + 10)

a)

No Solutions

b)

One Solution

c)

Two Solutions

d)

Infinitely Many Solutions

11.

Equations:

Laura goes to McCools with $25. She buys ice cream cones for her and her 4 friends. She leaves with $10. Which equation can be used to determine how much each ice cream cone cost?

a)

25 - 5x = 10

b)

25x - 5 = 10

c)

25(5x)=10

d)

10 + 25 = 5x

12.

Equations:

The following equation is a conditional equation. What is the one and only condition that would make this equation true?

2x – 8 = -8

a)

0

b)

-8

c)

8

d)

No solutions would make this true.

13.

Equations:

A rectangular garden has a length that is five less than twice the width. The garden perimeter is 50 meters. What are the dimensions of the garden?

a)

10 meters

b)

10 meters x 15 meters

c)

150 meters

d)

12 meters x 14 meters

14.

Equations:

A runner’s times (in minutes) in the four races he has completed are 25.5, 24.3, 24.7 and 23.5. The runner plans to run one more race and wants to have an average time of 24 minutes. Which equation below could be used to find the runner's time for the 5th race (x)?

a)

$\frac{98+x}{5}=24$

b)

$98+5x=24$

c)

$98+24x\ =\ 4$

d)

$\frac{98x}{5}=24$

15.

Inequalities:

Which of the following are solutions of the inequality? Choose all that apply.

4x + 2 < 10

a)

-4

b)

0

c)

2

d)

4

16.

Inequalities:

Which of the following phrases would NOT be represented by a greater than or equal to sign?

a)

At least

b)

At most

c)

No less than

17.

Inequalities:

Which inequality or inequalities could be used to express the solutions of the following graph? Choose all that apply.

a)

$x<-1$

b)

$-1>x$

c)

$x\le-1$

d)

$-1\ge x$

18.

Inequalities:

You have $40 saved up to buy a new pair of AirPods for $199.99. You will earn the rest babysitting for $10/hour. How many hours must you work to earn at least the cost of the AirPods?

a)

You must work at least 16 hours.

b)

You must work at least 15 hours.

c)

You must work at least 20 hours.

d)

You must work at least 10 hours.

19.

Inequalities:

In which of the following inequalities would you have to change the direction of the sign when solving? Choose all that apply.

a)

$8\le-2x$

b)

$-10\ +\ 2x\ >-10$

c)

$\frac{x}{-2}+4\ >10$

d)

$-2\left(-x\ +\ 4\right)\ \le10$

20.

Ratios and Proportions (Calculators Allowed):

What is the constant of proportionality for the table?

a)

3

b)

$\frac{1}{3}$

c)

$\frac{5}{3}$

d)

There is no constant of proportionality.

21.

Ratios and Proportions (Calculators Allowed):

What is the unit rate for the relationship shown by the graph?

a)

3

b)

$\frac{1}{3}$

c)

0

d)

There is no unit rate.

22.

Ratios and Proportions (Calculators Allowed):

In a recipe for chocolate chip cookies, the ratio of flour to sugar is $2\frac{1}{2}$ cups to $1\frac{1}{4}$ . Which of the following expresses this ratio in simplest form?

a)

2 : 1

b)

10 : 5

c)

5 : 4

d)

1 : 5

23.

Ratios and Proportions (Calculators Allowed):

What is the slope of a line that passes through the points (2, 4) and (10, 20)?

a)

2

b)

$\frac{1}{2}$

c)

5

d)

$\frac{1}{5}$

24.

Ratios and Proportions (Calculators Allowed):

Which equations below do NOT show direct variation? Choose all that apply.

a)

4x = y

b)

y = 3x - 2

c)

$\frac{y}{2}=x$

d)

y + 4 = x + 4

25.

Ratios and Proportions (Calculators Allowed):

FInd the slope of the line shown.

a)

$\frac{3}{4}$

b)

$-\frac{3}{4}$

c)

$-\frac{4}{3}$

d)

This line has no slope.

26.

Ratios and Proportions (Calculators Allowed):

Solve for x:

$\frac{x+5}{8}=\frac{2x}{11}$

a)

x = 11

b)

x = 1

c)

x = 12

d)

x = 5

27.

Ratios and Proportions (Calculators Allowed):

Dasher and Prancer are each flying towards each other during spring training. They begin the exercise 1,200 miles apart. Dasher can fly at a rate of 120 miles per hour. Prancer can fly 10 miles per hour faster than Dasher. After how many hours will the two reindeer meet?

a)

4.8 hours

b)

5 hours

c)

4.2 hours

d)

4 hours

28.

Ratios and Proportions (Calculators Allowed):

In Coach Martinez' gym class, there are 3 Team A students for every 4 Team B students. If there are 12 Team B students in the class, how many total students are in the class?

a)

21 Total Students

b)

9 Total Students

c)

24 Total Students

d)

28 Total Students

29.

Percents (Calculators Allowed):

Last year there were 20 students on the Green Team. This year there are 24 students on the Green Team. What is the percent of change?

a)

20% increase

b)

20% decrease

c)

17% increase

d)

17% decrease

30.

Percents (Calculators Allowed):

Sonja bought a new van for her business. The cost of the van was $35,000, and she had to pay 6% sales tax. How much did Sonja pay in sales tax on the cost of the van?

a)

$2,100

b)

$37,100

c)

$35,600

d)

$2,700

31.

Percents (Calculators Allowed):

Kristen placed an order online for her school supplies. After using a 15% off coupon, her order came to $34.50. What was the original cost of Kristen’s order before her discount?

a)

$40.59

b)

$39.68

c)

$38.19

d)

$41.12

32.

Percents (Calculators Allowed):

You borrow $15,000 to buy a new car. The simple interest rate is 22%. You pay off the loan after 5 years. What is the total price you pay for the car?

a)

$16,500

b)

$31,500

c)

$3,300

d)

$18,300

33.

Percents (Calculators Allowed):

Lia sells cars for Ford Motor Company. She earns a base salary of $18,250 in addition to earning 0.5% commission on any cars she sells. If Lia sold $3,680,000 worth of cars in 2021, was was her total annual income?

a)

$36,650

b)

$18,400

c)

$202,250

d)

$184,0000

34.

Percents (Calculators Allowed):

You deposit money into a savings account which earns 0.75% interest per year. You leave the money in the account for 50 months and earn $476.41. How much did you initially deposit into the account?

a)

$15,245.12

b)

$14,887.81

c)

$16,204.79

d)

$12.250.45

35.

Percents (Calculators Allowed):

Jack and Jill went to lunch after school. The total cost of the meal – including 20% tip and 7% sales tax – was $35.45. What was the subtotal of their bill (the cost before tax and tip)?

a)

$27.91

b)

$45.02

c)

$29.18

d)

$41.53

36.

Percents (Calculators Allowed):

Mirabel is buying a new dress that costs $52.99. She gets 10% off and has to pay 7% sales tax. What is the total cost of the dress?

a)

$51.03

b)

$51.40

c)

$62.37

d)

$55.71

37.

2D Geometry (Calculators Allowed):

Which sets of lengths below would form a triangle? Choose all that apply.

a)

4,5,6

b)

1,2,3

c)

3,4,10

d)

3, 8, 10

38.

2D Geometry (Calculators Allowed):

Which sets of lengths below would make a right triangle? Choose all that apply?

a)

3,4,5

b)

5,12,13

c)

7,24,25

d)

6,12,15

39.

2D Geometry (Calculators Allowed):

You are asked to create a triangle that includes a 6.5" side and a 30° angle. How many triangles could you create?

a)

One Triangle

b)

Two Triangles

c)

No Triangles

d)

Many Triangles

40.

2D Geometry (Calculators Allowed):

You are asked to create a triangle that includes a 2" side, a 5" side and a 6" side. How many triangles could you create?

a)

One Triangle

b)

Two Triangles

c)

No Triangles

d)

Many Triangles

41.

2D Geometry (Calculators Allowed):

Find the area of the parallelogram shown.

a)

$289\ in^2$

b)

$153\ in^2$

c)

$255\ in^2$

d)

$198\ in^2$

42.

2D Geometry (Calculators Allowed):

A circle has a circumference of 75.36 inches.

Find the area of the same circle. Use 3.14 for pi.

a)

452.16

b)

1,808.64

c)

1,205.18

d)

516.92

43.

2D Geometry (Calculators Allowed):

Name the quadrilateral shown in the most specific way possible.

a)

Square

b)

Rhombus

c)

Parallelogram

d)

Rectangle

44.

2D Geometry (Calculators Allowed):

Complete with sometimes, always or never.

A rhombus is ___________ a square.

a)

Sometimes

b)

Always

c)

Never

45.

2D Geometry (Calculators Allowed):

Find $m\angle ZXY$ .

a)

14

b)

74

c)

53

d)

60

46.

Angles and Scale (Calculators Allowed):

Which of the following angle pairs have a congruent relationship? There may be more than one answer. Choose all that apply.

a)

Vertical Angles

b)

Adjacent Angles

c)

Linear Pairs

d)

Supplementary Angles

47.

Angles and Scale (Calculators Allowed):

Solve for x in the diagram shown.

a)

x = 4

b)

x = 8

c)

x = 56

d)

x = 24

48.

Angles and Scale (Calculators Allowed):

Angle P and angle Q are complementary to each other. The m∠ P is 4 less than three times the m∠ Q. Find m∠ P.

a)

66.5

b)

46

c)

60.5

d)

23.5

49.

A $154.50 set of wireless headphones is discounted 30%. The next month, that sale price is discounted 70%! What does it cost now?

a)

$0 (It is free)

b)

$32.45

c)

$54.50

d)

$8.80

50.

If a candy bar that normally costs $1.25 now costs $0.75, what is the discount percent?

a)

40%

b)

60%

c)

1.67%

d)

0.9375%

51.

A pair of shoes is on sale for 25% off and now they cost $48.00. What was the original price?

a)

$64.00

b)

$60.00

c)

$73.00

d)

$38.40

52.

Mary currently weighs 150 pounds. Before her diet she, weighed 180 pounds. What is the percent of change in her weight?

a)

16.666...% Decrease

b)

17.333...% Increase

c)

20% Increase

d)

20% Decrease

53.

Original Price: $42.99

Discount: 10%

Discount: 15%

Sale Price: ?

a)

$32.24

b)

$10.75

c)

$32.89

d)

$6.45

54.

Subtotal: $24.87

Tax: 7%

Tip: 20%

Total: ?

a)

$31.93

b)

$31.58

c)

$6.71

d)

$33.82

55.

What shape will the horizontal cross-section of a cone be?

a)

Dome

b)

Circle

c)

Pyramid

d)

Triangle

56.

What shape will the vertical cross -section of a cylinder be?

a)

Circle

b)

Triangle

c)

Rectangle

d)

Ellipse

57.

What shape will the vertical cross-section of a cube be?

a)

Square

b)

Triangle

c)

Trapezoid

d)

Circle

58.

What is the total price of a book if Barnes and Nobles gets it for $4.25 and the markup is 130%?

a)

$10.49

b)

$9.78

c)

$5.53

d)

$12.42

59.

a)

45x²-26x-8

b)

45x²-26x+8

c)

45x²+26x-8

d)

45x²-46x-8

60.

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

a)

24 feet

b)

21 feet

c)

27 feet

d)

32 feet

61.

A large American flag measures 225 feet wide. In an advertisement for renting this flag, the image of the flag is 4 inches wide. What is the scale factor?

a)

1: 675

b)

1:56.25

c)

1: 65

62.

Find the perimeter of the large triangle.

a)

24

b)

36

c)

12

d)

54

63.

Find the volume of the triangular prism shown.

a)

960 cm³

b)

240 cm³

c)

960 cm ²

d)

1920 cm³

64.

Find the volume of the cylinder.

a)

3392.92 m³

b)

1696.46 m³

c)

791.68 m³

d)

2160 m³

65.

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

a)

14.13 in³

b)

56.52 in³

c)

169.56 in³

66.

What is the total surface area of the triangular prism shown?

a)

468 in²

b)

540 in²

c)

576 in²

d)

700 in²

67.

Is surface area.......

a)

Filling in a 3 dimensional shape

b)

wrapping the outside of a 3 dimensional shape

68.

Find the surface area of the triangular pyramid. Note: The triangle on the base is an equilateral triangle

a)

123.6 sq. feet

b)

116.8 sq. feet

c)

127.9 sq. feet

d)

130.9 sq. feet

69.

Ratios & Proportions:

In a recipe, the ratio of sugar to flour is 1.5 to 1.75. What is the ratio of sugar to flour in simplest form?

a)

6:7

b)

3:4

c)

4:5

d)

1:2

70.

What is the height of the cone?

a)

14 cm

b)

8 cm

c)

12 cm

d)

13.9 cm

71.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

72.

Expressions:

Which of the following expressions are NOT in standard form? Choose all that apply.

a)

$5x^2+3x-8$

b)

7x - 3y

c)

$2y-3y^2$

d)

21k - 8j

73.

Find the solution to the equation:
^{6n + 5(2n - 6) = 6n - 30}

a)

n = 0

b)

n = 8

c)

Many Possible Solutions

d)

No Possible Solutions

74.

Solve:

6(y + 4) = 6y + 10

a)

y = 10

b)

y = 24

c)

infinitely many solutions

d)

no solutions

75.

Equations:

Solve for x in the equation below. There may be more than one answer. Choose all that apply.

4x + 21 = x(x + 4) - 4

a)

x = 5

b)

x = -5

c)

x = 0

d)

No Solution

76.

a)

b)

c)

d)

77.

a)

b)

c)

d)

78.

Solve for B.

Ax + By = C

a)

B = Ax + c

b)

$B\ =\ \frac{C\ +Ax}{y}$

c)

$B\ =\ \frac{C}{Ax\ +\ y}$

d)

$B\ =\ \frac{C-Ax}{y}$

79.

Solve for $r^2$

$V\ =\ \pi r^2h$

a)

$r^2=\ V\pi h$

b)

$r^2=\ \frac{V}{\pi h}$

c)

$r^2=\ V\ +\ \pi h$

d)

$r^2=\frac{\pi h}{V}$

80.

Solve for h.

$A\ =\ bh$

a)

$h\ =\ A\ -b$

b)

$h\ =\ \frac{A}{b}$

c)

$h\ =\ Ab$

d)

$h\ =\ A+b$

81.

Solve for x.

$y\ =\ mx\ +\ b\$

a)

$x\ =\frac{y\ -\ b}{m}$

b)

$x\ =\ my\ +\ b$

c)

$x\ =\ \frac{y}{m\ +b}$

d)

$x\ =\ b\ -\ my$

82.

The chart below represents the number of marbles in a jar.
P(green) =

a)

5/19

b)

10/28

c)

5/14

83.

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(both marbles are purple)

a)

2/9

b)

1/3

c)

1/2

d)

1/4

84.

Kaylee has 1 red, 3 blue, 2 brown, 5 black, 1 purple, and 4 pairs of pink flip-flops in her closet. Assuming she always replaces them, what is the probability that she will choose a blue pair on Monday and a pink pair on Tuesday?

a)

3/8

b)

4/75

c)

3/64

d)

15/32

85.

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

a)

b)

c)

d)

86.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

87.

a)

The median for the fruit data is 100. The median for the vegetable data is 50. Fruits have a higher number for calories with greater variation.

b)

The median for the fruit data is 50. The median for the vegetable data is 100. Fruits have a higher number of calories with greater variation.

c)

The median for the fruit data is 100. The median for the vegetable data is 50. Vegetables have a higher number of Calories with a greater variation.

d)

The median for the fruit data is 100. The median for the vegetable data is 50. Fruits have a higher number for calories with less variation.

88.

Which class had the greater range of scores?

a)

Room 300

b)

Room 240

89.

If both sets of data are symmetric, the most appropriate measure of center and variation to use are...

a)

median & interquartile range

b)

mean & interquartile range

c)

median & mean absolute deviation

d)

mean & mean absolute deviation

90.

Use the box-and-whisker plots to determine if this statement is true. The interquartile range (IQR) of the men’s ages is greater than the interquartile range of the women’s ages.

a)

True

b)

False

91.

In the double box and whisker plot shown

Team A has a median of 3 points and an IQR of 2 points.

Team B has a median of 7 points and an IQR of 2 points.

Write a sentence comparing the medians of the two teams.

4 lines

92.

What type of angle pair is ∠1 and ∠5?

a)

alternate interior angles

b)

corresponding angles

c)

alternate exterior angles

d)

vertical angels.

93.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

94.

What is the value of x?

a)

13

b)

6.2

c)

29.8

95.

Find the value of x if the $m\angle1\ =\ 12x+19\degree$ and the $m\angle2\ =\ 22x-9\degree$ .

a)

-2.8

b)

2.8

c)

-5

d)

5

96.

Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?

a)

23

b)

840

c)

42

d)

3,628,800

97.

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

98.

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

a)

6 cm

b)

486 cm

c)

9 cm

d)

54 cm

99.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

100.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

101.

Find the missing side length.

a)

32

b)

35

c)

20

d)

16

Acc - Cumulative Test Review

Total questions: 101

Worksheet time: 4hrs 20mins

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