Free Printable 7th Grade Math Review (Calculator)

1.

n -10 +9n -3=

a)

-3

b)

9n-3

c)

n

d)

10n -13

2.

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

3.

4(-p - 6)

a)

4p - 24

b)

4p + 24

c)

-4p + 24

d)

-4p - 24

4.

Simplify the following expression:
-9(14p - 8) - 4p

a)

130p - 72

b)

122p - 72

c)

-130p - 18

d)

-130p + 72

5.

3 - 5(a - 4)

a)

23 - 5a

b)

5a - 23

c)

18a

d)

-18a

6.

What is the perimeter of the shape?

(a)

7.

Factor the terms:

24c-18

a)

$6\left(4c+3\right)$

b)

$6\left(4c-3\right)$

c)

$2\left(12c-9\right)$

d)

$2\left(-12c+9\right)$

8.

Factor: $-8x-12$

a)

$-4(2x+3)$

b)

$-4(2x-3)$

c)

$4(2x-3)$

d)

$4(2x+3)$

9.

Tickets to the aquarium cost $27 per person. Write an expression to represent the total cost of tickets for a group of people. Let n represent the number of people in the group.

a)

27 + n

b)

27n

c)

27/n

d)

27 - n

10.

Tyrell has a sister that is y years younger than him. If Tyrell is 12 years old, how old is his sister? Which algebraic expression could be used to find the age of Tyrell's sister?

a)

y - 12

b)

12 / y

c)

12 + y

d)

12 - y

11.

A cell phone company charges $40 per month plus a $35 activation fee. Write an expression for the total cost for m months.

a)

40+35m

b)

40m+35

c)

m+35

d)

m+40

e)

75m

12.

What is the first step to solve this equation:

11-3x=44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

13.

Solve:

$7+\frac{a}{3}=5$

a)

$a=-2$

b)

$a=-6$

c)

$a=3$

d)

$a=15$

14.

a)

t = 20

b)

t = -20

c)

t = -40

d)

t = 40

15.

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents the number of hours (h) of lessons Kasey took if the total cost was $39.

a)

11 + 6h = 39

b)

11h - 6 = 39

c)

11h + 6 = 39

d)

66h = 39

16.

$\frac{x+6}{2}=12$

a)

x=12

b)

x=-12

c)

x=18

d)

x=-18

17.

When do you "flip the inequalities sign"?

a)

When you add or subtract a negative

b)

When it's a 1-step problem

c)

When you multiply or divide a negative

d)

When it's a 2-step problem

18.

Solve 3x + 7 < 22

a)

x < -29/3

b)

x < -5

c)

x < 29/3

d)

x < 5

19.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

20.

Solve: -2x ≤ 14

a)

x ≤ 7

b)

x ≤ -7

c)

x ≥ 7

d)

x ≥ -7

21.

In an animal shelter, the ratio of dogs to cats is 4 to 3. If there are 72 dogs at the shelter, how many cats are there?

a)

54 cats

b)

18 cats

c)

96 cats

d)

16 cats

22.

The ratio of a person's weight on Earth to his weight on the Moon is 6 to 1. Xavier weighs 90 pounds on Earth. How much would he weigh on the Moon?

a)

60 pounds

b)

96 pounds

c)

540 pounds

d)

15 pounds

23.

A Transformer stands 20 ft. tall with a shadow of 6 ft. long. If the Transformer next to it is 30 ft. tall, how long would its shadow be?

a)

9 ft.

b)

4 ft.

c)

6 ft.

d)

3 ft.

24.

Are the two ratios proportional?
7:12 and 5 to 8

a)

Yes

b)

No

25.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

26.

Is the given table a proportional relationship? If so, what is the constant of proportionality?

a)

Yes; 1/3

b)

Yes; 3

c)

Yes; 5

d)

No

27.

What is the constant of proportionality?

a)

2 swings / 1 day

b)

0.5 swings / 1 day

c)

4 swings / 1 day

d)

None of the above

28.

Which graph is proportional?

a)

A

b)

B

c)

None of the graphs

d)

All of the graphs are proportional

29.

What is the constant of proportionality for the following graph?

a)

80

b)

20

c)

40

d)

160

30.

Identify the constant of proportionality.

a)

k = 5

b)

k = 1/5

c)

k = 1

d)

k = 2.5

e)

none (not proportional)

31.

20 is 25% of what number?

a)

25

b)

100

c)

50

d)

80

32.

Of the 160 7th graders at CMS, 96 donate canned goods to the food drive. What percent of the 7th graders donated food?

a)

60%

b)

66%

c)

96%

d)

99%

33.

88 is what percent of 160?

(a)

34.

Calculate the percent increase. Round to the nearest percent.

Original: 74

New: 85

a)

0.15%

b)

0.13%

c)

13%

d)

15%

35.

The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter?

a)

35%

b)

25%

c)

30%

d)

20%

36.

Lacey bought a new purse that originally cost $25 and is on sale for $15. Find the percent of change in the price in the purse.

a)

Decrease of 40%

b)

Decrease of 10%

c)

Decrease of 30%

d)

Decrease of 20%

37.

An archaeologist estimated that a fossil was 520 years old. It was actually 500 years old. What was the percent error?

a)

4%

b)

20%

c)

3.8%

d)

none of these

38.

A regular 6-sided die is to be rolled once. What is the probability that a number less than 3 is rolled?

a)

1/3

b)

1/6

c)

1/2

d)

2/3

39.

A likely chance event is closer to what number?

a)

0

b)

1

c)

.5

d)

100

40.

If you select a marble without looking, how likely is it that you will pick a black one?

a)

certain

b)

likely

c)

unlikely

d)

impossible

41.

A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?

a)

5/6

b)

1/2

c)

1/3

d)

1/6

42.

P(not A) =
*Remember to simplify.*

a)

6/8

b)

3/4

c)

2/8

d)

1/4

43.

Based on the chart, what is the probability of pulling a green marble?

a)

1/8

b)

8/25

c)

8/100

d)

7/8

44.

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

a)

1 ⁄ 16

b)

1 ⁄ 2

c)

1 ⁄ 4

d)

1 ⁄ 8

45.

If you pick a red marble and keep it, how does that change the probability of getting a green marble when you pick a second time?

a)

No change

b)

More likely

c)

Less likely

d)

Impossible

46.

Find the MAD:
58, 38, 54, 48, 26, 36

a)

43

b)

20

c)

10

d)

12

47.

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

a)

3

b)

5

c)

1

d)

2

48.

Find the Quartile 1 of these numbers:

2, 3, 4, 5, 5, 5, 7,

a)

4

b)

6

c)

3

d)

5

49.

Determine the IQR for this set of data.

(Note: Subtract Quartile 3 and Quartile 1).

a)

240

b)

50

c)

40

d)

230

50.

True or False: Week 2 median is the same as Week 1 Q3

a)

False

b)

True

7th Grade Math Review (Calculator)

Total questions: 50

Worksheet time: 3hrs 30mins

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