Free Printable 7th Grade ACAP PRACTICE TEST

1.

Jeremy swims at a rate of $\frac{1}{3}$ mile every $\frac{1}{6}$ hour. At this rate, how many miles will Jeremy swim in 1 hour?

a)

$\frac{1}{18}$

b)

$\frac{1}{2}$

c)

2

d)

18

2.

Select the table that shows a proportional relationship.

a)

b)

c)

d)

3.

Which expression is equivalent to $-8+\left(-2\right)$ ?

a)

$8-\left(2\right)$

b)

$-8\left(-2\right)$

c)

$8-\left(-2\right)$

d)

$-8-\left(-2\right)$

4.

Select the fraction that is equivalent to $-\frac{1}{4}$

a)

$\frac{1}{4}$

b)

$\frac{-1}{-4}$

c)

$\frac{-1}{4}$

d)

$-\left(-\frac{1}{4}\right)$

5.

Angle X and angle Y are complementary. The measure of angle Y is $75\degree$ . What is the measure, in degrees, of angle X?

(a)

6.

A bag contains 20 different pieces of paper. One piece of paper is randomly drawn, not replaced, and then another piece of paper is randomly drawn. How many unique outcomes are in the sample space for this situation?

a)

19

b)

20

c)

380

d)

400

7.

Kate is training for a race. Her goal is to run at least 20 miles this week. She has already run 8 miles and will run on 4 more days this week. She will run the same number of miles each of the 4 days. Which inequality shows all the possible numbers of miles, x, that Kate could run on each of the 4 days to reach her goal?

a)

$x\le3$

b)

$x\ge3$

c)

$x\le5$

d)

$x\ge5$

8.

A library and a music store are located on the same straight road. Their locations are shown on a number line. Each unit on the number line is one kilometer. Which statement best describes the distance between the library and the music store?

a)

The distance is -5 kilometers because 2-(-3)=5 and the opposite of 5 is -5.

b)

The distance is -5 kilometers because 2-(-3)=5 and the absolute value of 5 is -5.

c)

The distance is -5 kilometers because -3-2=-5.

d)

The distance is 5 kilometers because -3-2=-5 and the absolute value of -5 is 5.

9.

What is the constant of proportionality for the following graph?

a)

80

b)

20

c)

40

d)

160

10.

Which graph shows a proportional relationship?

a)

A

b)

B

c)

C

d)

D

11.

Which statement matches the graph?

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

12.

What is the ordered pair that represents the unit rate?

a)

(1, 15)

b)

(15, 1)

c)

(4, 60)

13.

What is the probability of flipping a coin and getting tails?

a)

1/2

b)

1/3

c)

1/4

d)

Never, Tails never fails.

14.

Find the probability of rolling a 7 on a single die.

a)

1/6

b)

7/6

c)

0

d)

7/7

15.

What is the probability of spinning red?

a)

0

b)

1/2

c)

3/4

d)

1

16.

What is the probability of spinning red?

a)

0

b)

5/12

c)

1/2

d)

3/4

17.

Simplify if necessary

\frac{2}{10}\ \times\frac{2}{9}

a)

$\frac{3}{14}$

b)

$\frac{2}{5}$

c)

$\frac{2}{45}$

d)

$\frac{3}{45}$

18.

Simplify if necessary

3\ \times\ \frac{8}{11}

a)

$2\ \frac{2}{11}$

b)

$\frac{8}{33}$

c)

$2\ \frac{10}{11}$

d)

$2\ \frac{2}{8}$

19.

Solve the equation, if possible. $2v+5v-8=13$

a)

3

b)

identity

c)

no solution

d)

7

20.

Solve -3x + 5 = -16

a)

9

b)

8

c)

-7

d)

7

21.

Consider the graph.

What does point A represent on this graph?

a)

4 web visits per 12 downloads

b)

The rate of change

c)

4 downloads per 12 web visits

d)

The slope of the line

22.

Solve the proportion:

a)

4

b)

8

c)

14

d)

10

23.

Round 43.827 to the nearest hundredth.

a)

43.82

b)

43.83

c)

43.87

d)

44

24.

Solve for x

a)

x = 1/10

b)

x = 10

c)

x = 4

d)

x = 5

25.

What is the quotient of these fractions in lowest terms?

a)

6/40

b)

6/10

c)

3/5

d)

12/20

26.

How much water is used in 8 minutes?

a)

30 gallons

b)

40 gallons

c)

50 gallons

d)

60 gallons

27.

You travel 150 miles on 5 gallons. How far did you travel per gallon?

a)

15 miles

b)

30 miles

c)

3 miles

d)

25 miles

28.

Which of the following is a unit rate

a)

56 miles in 2 minutes

b)

$4.59 for 3 pounds

c)

$10 per student

d)

$30 for 15 minutes

29.

What is the simplified version of this expression? $-4(8r+3)$

a)

$-32r-12$

b)

$32r-12$

c)

$-32r+12$

d)

$32r+12$

30.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

31.

Which of the following is an equation?

a)

6x + 2x - 6

b)

6x² + 10 = 25

c)

6x² + 10 - 25

d)

10y - 6 + 34u

32.

What is the definition of a variable?

a)

A letter or symbol that represents an unknown quantity

b)

The little number or letter used to raise to a power

c)

The number in front of a variable

d)

The number with no variable

33.

Which of the following is farthest to the left on the number line?

a)

-6.5

b)

-6

c)

-5

d)

6.9

34.

Change this improper fraction into a mixed number:
^{_{14/3
(Use your multiplication chart)}}

a)

12 ⅓

b)

4 ⅔

c)

4 ⅓

d)

12

35.

14+3x=26

a)

x=6

b)

x=1

c)

x=4

d)

x=3

36.

Find the sum.
-10 + 20

a)

-10

b)

10

c)

0

d)

30

37.

What is the opposite of 12

a)

12

b)

-12

c)

24

d)

-24

38.

The high temperature was -7 degrees on Monday and -15 on Tuesday. On which day was it the warmest?

a)

Monday

b)

Tuesday

39.

-4 x -9

a)

36

b)

-36

c)

32

d)

-32

40.

48 / (-8)

a)

6

b)

-6

41.

3 x (-7)

a)

21

b)

-21

42.

-100 / -5

a)

20

b)

-20

43.

-3 + -8

a)

5

b)

-5

c)

-11

d)

11

44.

-18 + -9

a)

-27

b)

27

c)

9

d)

-9

45.

-38 + -16

a)

54

b)

22

c)

-22

d)

-54

46.

(-5) x (-5)

a)

25

b)

-25

47.

Four fourth-grade girls and four seventh-grade girls were randomly selected. Their heights, in inches, are recorded below.

4th Grade

56, 47, 54, 51

7th Grade

57, 58, 60, 64

What is the mean height for 4th grade?

a)

52

b)

59

c)

58

d)

62

48.

Four fourth-grade girls and four seventh-grade girls were randomly selected. Their heights, in inches, are recorded below.

4th Grade

56, 47, 54, 51

7th Grade

57, 58, 60, 64

Which grade has the highest mean?

a)

4th Grade

b)

7th Grade

49.

This graph shows the relationship between the pounds of cheese

bought at a deli and the total cost, in dollars, for the cheese.

Select each statement about the graph that is true.

Select all that apply.

a)

The point (0, 0) shows the cost is $0.00 for 0 pounds of cheese.

b)

The point (0.25, 1) shows the cost is $0.25 for 1 pound of cheese.

c)

The point (0.5, 2) shows that 0.5 pound of cheese costs $2.00.

d)

The point (1, 4) shows the cost is $4.00 for 1 pound of cheese.

e)

The point (2, 8) shows that 8 pounds of cheese cost $2.00.

50.

a)

A

b)

B

c)

C

d)

D

51.

Which equation has a constant of proportionality equal to 4?

a)

4y = 4x

b)

4y = 12x

c)

3y = 4x

d)

3y = 12x

52.

In which of these situations would the answer to the question be 0?

a)

Teddy jumped into a pool from a diving board 8 feet above the water. He sank 8 feet and then swam straight up to the surface of the water. How many feet did Teddy swim?

b)

Jerry left his house and walked 1.5 miles directly west. Then he walked 1.5 miles directly east. At this point, how many miles was Jerry from his house?

c)

A trail begins at an elevation of -50 feet. The trail ends at an elevation of 50 feet. By how many feet does the elevation of the trail change from beginning to end?

d)

The low temperature one day was -3 Celsius. The high temperature that day was 3 Celsius. What is the difference between the low temperature and the high temperature that day?

53.

Which relationships have the same constant of

proportionality between y and x as in the

equation y = 1/3x Select each correct answer.

a)

A

b)

B

c)

C

d)

D

e)

E

54.

a)

3/11

b)

4/11

c)

5/55

d)

2/11

55.

13 - 5⅚ =

a)

8⅙

b)

8⅚

c)

7⅚

d)

7⅙

56.

1/3 x 5/6 =

a)

5/18

b)

6/9

c)

4/3

d)

2/3

57.

⅚ ÷ 4

a)

5/24

b)

24

c)

1/6

d)

5

58.

Solve the following equation:
-13.4 - (-1.784) = ?

a)

11.616

b)

15.184

c)

-11.616

d)

-15.184

59.

Change this improper fraction into a mixed number:
47/5
^{_{(Use your multiplication chart)}}

a)

9 ⅖

b)

8 7/5

c)

9 ⅕

d)

8 ⅚

60.

Which of the following is a unit rate

a)

56 miles in 2 minutes

b)

$4.59 for 3 pounds

c)

$10 per student

d)

$30 for 15 minutes

61.

Pat needs 14 sticks of pepperoni to make 28 pizzas. How many sticks of pepperoni are needed to make 36 pizzas?

a)

15 pizzas

b)

252 sticks

c)

18 sticks

d)

18 pizzas

62.

What is the absolute value?

a)

The opposite of a number.

b)

The number that when added together equals 0.

c)

The distance a number is from zero.

d)

The number that when added together equals 1.

63.

-5 - (- 3)

a)

-8

b)

8

c)

-2

d)

15

64.

How much tip should you leave if you want to tip 23% at Applebee's on a $27.31 bill?

a)

$6.28

b)

$33.59

c)

$21.03

65.

What is 82% As a decimal?

a)

8200

b)

820

c)

0.082

d)

0.82

66.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

67.

Find the unit rate of 624 calories in 3 servings.

a)

1,872 calories per serving

b)

208 calories per serving

c)

624 calories per serving

d)

621 calories per serving

68.

What is the constant of proportionality for this table?

a)

1/9

b)

9

c)

8

69.

Which graph is proportional?

a)

A

b)

B

c)

None of the graphs

d)

All of the graphs are proportional

70.

What is a example of Additive Inverse?

a)

-1+1=0

b)

-1+1=-2

71.

The integer -17 would BEST represent which of these events?

I. You withdraw $17 from your account.

II. A running back loses 17 yards in a game.

III. The temperature rises 17 degrees.

a)

I only

b)

III only

c)

I and II only

d)

II and III only

72.

Factor

21p + 7

a)

7(3p + 1)

b)

7(3p + 7)

c)

can't be factored

d)

3(7p + 7)

73.

Factor

12r + 30

a)

12(r + 18)

b)

can't be factored

c)

6(2r + 5)

d)

5(7r + 13)

74.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

75.

Solve -3x + 5 = -16

a)

9

b)

8

c)

-7

d)

7

76.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

77.

3g >12

a)

g>36

b)

g<36

c)

g>4

d)

g<4

78.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

79.

Find the median of these numbers:
4,2,7,4,3

a)

2

b)

5

c)

7

d)

4

80.

To find the _________ you add up all the numbers and then divide by how many numbers you have.

a)

Mean

b)

Median

c)

Mode

d)

Range

81.

To find the ______ you put all numbers in order from least to greatest and then take the largest number minus the smallest number.

a)

Mean

b)

Median

c)

Mode

d)

Range

82.

To find the ________ you put all numbers in order from least to greatest and find the number that is in the middle.

a)

Mean

b)

Median

c)

Mode

d)

Range

83.

A data set can have more than one mode

a)

True

b)

False

84.

Find the Mean Absolute Deviation: 10, 9, 3, 8, 10. The Mean is 8

a)

3

b)

5

c)

1

d)

2

85.

What is the the probability of NOT landing on purple?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

86.

A bag has 10 marbles. What is the probability of pulling a red?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

87.

What is the area of this circle?
d = 8cm

a)

16π

b)

8π

c)

4π

d)

36π

88.

What is the volume of this rectangular prism?

a)

30 cu ft

b)

36 cu ft

c)

12 cu ft

d)

11 cu ft

89.

What does the "B" in the volume formula V = B x h stand for?

a)

bottom of the object

b)

base

c)

between

d)

area of the base

90.

Find the volume of this triangular prism.

a)

1440 cm³

b)

60 cm³

c)

720 cm³

d)

180 cm³

91.

What is the median?

a)

62

b)

58

c)

66

d)

60

92.

How many students received a score of 94%?

a)

94

b)

4

c)

1

d)

2

93.

How many total students are in the science class?

a)

13

b)

6

c)

27

d)

25

94.

What is the best way to describe the angle pair relationships?

a)

Vertical Angles

b)

Linear Pairs

c)

Complementary Angles

d)

Supplementary Angles

95.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

96.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

97.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

98.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

99.

What is the circumference of this circle?

a)

3.14 cm

b)

37.7 cm

c)

24 cm

d)

68.4 cm

7th Grade ACAP PRACTICE TEST

Total questions: 99

Worksheet time: 3hrs 3mins

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