Free Printable Grade 7 Final Review

1.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

2.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

3.

r/1.5 = 2.4

a)

y = 3.6

b)

y = 2.4

c)

y = 3.9

d)

y = 1.6

4.

Solve for d:
-7(6 + d) = 49

a)

13

b)

1

c)

-1

d)

-13

5.

Solve -3x + 5 = -16

a)

9

b)

8

c)

-7

d)

7

6.

Which is equivalent to 2⁴

a)

8

b)

20

c)

16

d)

12

7.

Which is equivalent to 9^o

a)

1

b)

0

c)

9

d)

No Answer

8.

Which is equivalent to 3⁴

a)

27

b)

9

c)

81

d)

12

9.

What is the probability of spinning green?

a)

0

b)

1/4

c)

1/2

d)

3/4

10.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?

a)

2/7

b)

5/49

c)

5/7

d)

10/49

11.

If you choose from the following M & M colors, what is the probability that you choose blue?

5 green

6 yellow

8 blue

7 brown

a)

1/4

b)

4/13

c)

8/25

d)

1/3

12.

Factor the following expression: 14n + 49

(a)

13.

Factor the following expression: 10w - 5

(a)

14.

Factor the binomial $9n+24$

(a)

15.

Factor the binomial $3q+9$

(a)

16.

$\frac{4}{7}\ =\ \frac{7}{x}$

a)

x = 12.25

b)

x = 4

c)

x = 196

d)

x = 1

17.

$\frac{10}{x}\ =\ \frac{25}{100}$

a)

x = 40

b)

x = 2500

c)

x = 250

d)

x = 2.5

18.

a)

4

b)

12

19.

What is 15% of 82?

a)

12.3

b)

123

c)

1.23

20.

Caroline took a math test and got 19 out of 25 questions correct. What percent of the questions did she answer correctly?

a)

76%

b)

66%

c)

24%

d)

54%

21.

Lilly made 32 of her 40 serve attempts over the net. What percent of her serves made it over the net?

a)

60%

b)

20%

c)

80%

d)

25%

22.

3 + -7

a)

10

b)

4

c)

-10

d)

-4

23.

-9 + (-5)

a)

-14

b)

14

c)

-4

24.

-7 - 2

a)

-9

b)

9

c)

5

d)

-5

25.

-4 + 10 + (-2)

a)

-4

b)

4

c)

-16

d)

14

26.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

27.

- 2k > 18

a)

k is greater than 20

b)

k is less than negative 9

c)

k is greater than negative 9

d)

k is less than 36

28.

m - 5 > 10

a)

m is less than 15

b)

m is greater than 5

c)

m is greater than 15

d)

m is less than 5

29.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

30.

What is the circumference?

a)

5 cm

b)

20 cm

c)

31.4 cm

d)

32.8 cm

31.

If the radius is 2 miles, what is the circumference?

a)

4 miles

b)

6.28 miles

c)

12.56 miles

d)

13. 14 miles

32.

A circular table is 22 feet in diameter.

How many feet around is the table?

a)

4554

b)

45.54

c)

6908

d)

69.08 ft

33.

Ellie made $45 babysitting for 6 hours. How much does she make per hour?

a)

$45 per hour

b)

$7.50 per hour

c)

$2.70 per hour

d)

$6.70 per hour

34.

The cost of 4 golf balls is $10. How much would it cost for 20 golf balls?

a)

$10 for 20 golf balls

b)

$20 or 20 golf balls

c)

$40 or 20 golf balls

d)

$50 or 20 golf balls

35.

A factory makes 24 bicycles in 3 hours. How many can they make per hour?

a)

8 bicycles in 1 hour

b)

2 bicycles in 1 hour

c)

4 bicycles in 1 hour

d)

6 bicycles in 1 hour

36.

If a dozen doughnuts cost $3.00, what would 1 doughnut cost?

a)

1 doughnuts would cost $0.15

b)

1 doughnuts would cost $0.25

c)

1 doughnuts would cost $0.30

d)

1 doughnuts would cost $1.15

37.

Find the constant of proportionality on this table of values.

a)

k=3

b)

k=1

c)

k=0

d)

k=4

38.

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

a)

y

b)

x

c)

14

d)

y=14

39.

Write an equation for this relationship.

a)

y=1/5x

b)

y=1/2x

c)

y=2x

d)

y=5x

40.

Is the given table a proportional relationship? If so, write an equation that relates y to x.

a)

Yes; y=1/3x

b)

Yes; y=3x

c)

Yes; y=5x

d)

No

41.

If the relationship in the table is proportional, write its equation.

a)

$y=2.8x$

b)

$x=2.8y$

c)

$y=2.125x$

d)

$x=2.125y$

e)

The relationship is not proportional

42.

Proportional?

a)

Yes,

b)

No, its facing the wrong way

43.

Proportional?

a)

Yes, it passes through the origin and has straight lines

b)

No, it does not have a single straight line

c)

Maybe yes, maybe no.

44.

Proportional?

a)

Yes

b)

No

45.

Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all the toy cars?

a)

3:5

b)

1:3

c)

3:11

d)

3:10

46.

Edgar gets paid $116 for every 8 hours of work he completes. At the same rate, how much would he earn for 12 hours of work completed?

a)

$14.50

b)

$168

c)

$174

d)

$196

47.

Solve the inequality to determine the correct solution:
$4y\ +\ 16\ >\ 8$

a)

$y\ >\ 6$

b)

$y\ <\ -6$

c)

$y\ <\ -2$

d)

$y\ >\ -2$

48.

Which equal pair demonstrates a proportional relationship?

a)

$\frac{3}{5}=\frac{5}{3}$

b)

$\frac{36}{60}=\frac{3}{5}$

c)

$\frac{3}{5}=\ \frac{15}{30}$

d)

$\frac{21}{42}\ =\ \frac{3}{5}$

49.

Given: $\frac{1}{8}=\frac{w}{6}$ what is the value of w?

a)

w = 48

b)

w = 14

c)

w = 1.3

d)

w = 0.75

50.

If Jason can type 168 words in 4 minutes, what is his rate of speed per minute?

a)

0.02 words per minute

b)

2.8 words per minute

c)

42 words per minute

d)

72 words per minute

51.

Solve for x: $\frac{36}{x}=\frac{45}{10}$

a)

x = 1.25

b)

x = 8

c)

x = 12.5

d)

x = 15

52.

Determine which number line represents the solution to the Inequality equation: $6n\ +\ 3\ \le\ -21$

a)

b)

c)

d)

53.

What percent of the grid is red?

a)

47%

b)

53%

c)

57%

d)

43%

54.

200 children attended the school play. Of the total attendance, 40% were boys. How many girls attended the school play?

55.

A Chicago Cubs baseball cap costs $30. Michael has a coupon that will save him 30% of the price. How much money will Michael pay for the cap?

a)

$9.00

b)

$22.00

c)

$21.36

d)

$21.00

56.

Shirley spelled 12 of her 15 spelling words correctly on the test. What percent grade did Shirley get on the test?

57.

On a recent quiz, you answered 19 out of 25 questions correctly. What was your score as a percentage?

a)

60%

b)

65%

c)

76%

d)

80%

58.

How much tip money would you need to leave for 20% on a $30 meal?

59.

You are buying a sweatshirt that was $50 last week. For some reason, the store is selling it for $60 this week. What is the percent increase for the price of the sweatshirt?

a)

Increase 20%

b)

Increase 16.67%

c)

Increase $10

d)

Decrease $10

60.

One week, 72 people got a speeding ticket. The next week, only 36 people got a speeding ticket. What is the percent of change in the speeding tickets?

a)

Increase 50%

b)

Decrease 50%

c)

Increase 1%

d)

Decrease 1%

61.

The number of people signed up for a bus trip increased from 32 people to 45 people. What is the percent increase? Round to the nearest whole percent.

a)

52%

b)

41%

c)

42%

d)

45%

62.

Your dog loses weight. She originally weighed 62 pounds and now she weighs 51 pounds. What is the percent change of the dog's weight?

a)

17.74% decrease

b)

17.74% increase

c)

82.25% increase

d)

82.25% decrease

63.

The attendance for the basketball game was estimated to be 15,000 people but 12,500 people attended. What was the percent error?

a)

16.67%

b)

20%

c)

2500%

d)

80%

64.

The students measured length during a science experiment, they got 12 cm. But the actual measurement was 14.25 cm. What was the percent error?

a)

15.79%

b)

18.75%

c)

2.25%

d)

18%

65.

During the school fire drill the actual count of students was between 1380 and 1402. What is the most the absolute error could be?

a)

22

b)

-22

c)

2782

d)

22%

66.

Find the percent increase or decrease:

6 liters to 8 liters

(a)

67.

James estimated that there were 50 kids at the basketball court. There were actually 60. Find James's percent error.

(a)

68.

1. A sample in which every person, object, or event has an equal chance of being selected.

a)

A. Random sample.

b)

B. Biased sample.

69.

2. When a sample does not accurately represent the population it is a:

a)

A. Unbiased sample

b)

B. Biased sample

70.

3. A public library asked every 10th person who entered to name the type of book they were getting.

a)

A. Biased

b)

B. Unbiased

71.

4. Carlos wants to know the favorite sport of people at his school so he asks his baseball team.

a)

A. Biased

b)

B. Unbiased

72.

6. Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?

a)

A. Thirty randomly selected students from her school

b)

B. Thirty students who are rarely tardy

c)

thirty of her friends

73.

8. At a middle school, the 7th graders will conduct a survey for where to go on a field trip.
Which method will result in the least biased decision?

a)

A. To randomly ask 8th grade students who went on a field trip last year.

b)

B. To randomly choose some 7th grade students to select a location.

74.

9. Mrs. Croix is conducting a survey to find out the favorite snack of fifth and sixth graders. She will ask a sample of 100 students. Which of the groups below should be surveyed to get the BEST representative sample?

a)

A. 20 students from each of the 5 local fifth- and sixth-grade schools.

b)

B. The first 100 students who go to a local baseball game

75.

What is the probability of spinning green?

a)

0

b)

1/4

c)

1/2

d)

3/4

76.

Suppose there are 200 students in the cafeteria during lunch. How many students would you expect to choose pizza as their favorite cafeteria food?

a)

90

b)

104

c)

18

d)

72

77.

If a dice is rolled 300 times, how many times would you predict a roll of a 1 or a 6?

a)

50

b)

100

c)

150

d)

75

78.

Bailey tossed a coin 10 times. The results were 7 heads and 3 tails.

What is the experimental probability of tossing tails?

a)

1/3

b)

3/10

c)

3/7

d)

1/2

79.

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

80.

Find the mean of these numbers:
2, 57, 38, 42, 6

a)

29

b)

38

c)

50

d)

145

81.

Find the Mean of:
8, 14, 32, 6, 15

a)

15

b)

175

c)

75

d)

12

82.

The double plot shows the daily attendance for two fitness clubs for one month.

a)

Fun Fit has greater attendance with greater variation.

b)

Greg's Gym has greater attendance with greater variation.

c)

Fun Fit has greater attendance with less variation.

d)

Greg’s Gym has a greater attendance with less variation.

83.

The double box plot shows the heights in inches for the players on two professional basketball teams.

a)

While the median heights are about the same, the variation in heights is greater for the NJ Nets than the NY Knicks.

b)

While the median heights are about the same, the variation in heights is greater for the NY Knicks than the NJ Nets.

c)

The heights of the NJ Nets are more consistently centered around the median.

d)

The heights of the NY Knicks are less consistently centered around the median.

84.

The double dot plot shows Kareem's and Martin's race times for a three-mile race.

a)

Martin typically runs a faster race.

b)

Kareem typically runs a faster race.

c)

Martin's race times are more consistent.

d)

Kareem's race times are less consistent.

85.

Ms. Andrey claims the average score on a quiz in her class was 25. Mr. Luna claims the average score on a quiz in his class is 25.

a)

Ms. Andrey used the mode, while Mr. Luna used the median.

b)

Ms. Andrey used the mean, while Mr. Luna used the mode.

c)

Both teachers used the mean.

d)

Both teachers used the median.

86.

Find median

a)

15

b)

8

c)

26

d)

12.5

87.

Find the mode:
3.8, 4.2, 4.0, 4.2, 4.2

a)

4.2

b)

3.8

c)

4.0

88.

Find the median:
3.8, 4.2, 4.0, 4.2, 4.2

a)

4.2

b)

3.8

c)

4.0

89.

The table lists five counties with the largest area in Texas. Which measure of center/variation best represents the average size of these counties?

a)

mean

b)

IQR

c)

mode

d)

range

90.

What is the area of a circle with the diameter of 10cm ?

a)

66cm

b)

78.5cm

c)

66.5cm

d)

10m

91.

What is the area of the parallelogram?

(Don't include the units)

(a)

92.

What is the total area of the composite shape shown?

(Don't include the units)

(a)

93.

What is the total area of the composite shape shown?

(Don't include the units)

(a)

94.

What is the area of the top triangle?

(Don't include the units)

(a)

95.

What is the area of this square?

a)

169 ft²

b)

209 ft²

c)

196 ft²

d)

260 ft²

96.

What is the area of this rectangle?

a)

953 m²

b)

1,035 m²

c)

1,005 m²

d)

995 m²

97.

What is the area?

a)

12 cm²

b)

14

c)

14 cm²

d)

24 cm²

98.

Find the area of the parallelogram.

a)

56cm²

b)

28cm²

c)

32cm²

d)

16cm

99.

What is the area of this trapezoid?

a)

120 m²

b)

92 m²

c)

84 m²

100.

What is the area of this trapezoid?

a)

20 in²

b)

24 in²

c)

28 in²

101.

Find the area of the circle

a)

56.52

b)

254.34

c)

1017.36

d)

113.04

102.

What is the area of this circle?

a)

62.59 cm²

b)

113.1 cm²

c)

19.81 cm²

d)

28.26 cm²

103.

What is the area of this semi circle?

a)

100.5 square cm

b)

25.1 square cm

c)

50.3 square cm

d)

12.6 square cm

104.

Area = 44 cm²What is the height?

a)

88 cm

b)

36 cm

c)

11 cm

d)

22 cm

105.

Find the area of the triangle.

a)

330 units²

b)

80 units²

c)

294.8 units²

d)

589.6 units²

106.

A rectangular poster has an area of 38 square feet. It is 4.75 feet wide at its base. What is the height of the poster?

a)

8 ft

b)

8 ft²

c)

180.5 ft²

d)

180.5 ft

107.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

108.

Find the surface area of the rectangular prism.

a)

140 in.²

b)

83 in.²

c)

166 in. ²

d)

100 in.²

109.

Find the surface area of the rectangular prism with the following dimensions:
length = 16 m
height = 10 m
width = 11 m

a)

872 m squared

b)

752 m squared

c)

1,760 m squared

d)

892 m squared

110.

Find the total surface area of the prism.

a)

161 square feet

b)

1,700 square feet

c)

75 square feet

d)

186 square feet

111.

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

a)

468 in²

b)

540 in²

c)

576 in²

d)

700 in²

Grade 7 Final Review

Total questions: 111

Worksheet time: 9hrs 51mins

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