Free Printable 7th Grade Math Review

1.

A ratio can be written in 3 ways. Which of the following is NOT how a ratio is written?

a)

3=4

b)

3 : 4

c)

3 / 4

d)

3 to 4

2.

What is the ratio of red apples to green apples?

a)

7 to 3

b)

4 to 7

c)

4 to 3

d)

3 to 4

3.

In the fruit bowl there are 4 apples, 2 bananas, and 5 pears. What is the ratio of pears to ALL fruit?

a)

5:4

b)

5:11

c)

2:5

d)

6:5

4.

A unit rate is a rate in which the unit in the denominator is:

a)

0

b)

3

c)

1

d)

2

5.

If Justin can type 408 words in 4 minutes, how many words can he type per minute? (What is his unit rate)

a)

102 words per minute

b)

100 words per minute

c)

400 words per minute

d)

412 words per minute

6.

Four pounds of bananas cost $6. What is the cost per pound of bananas? (What is the unit rate?)

a)

$24 per pound

b)

$1.50 per pound

c)

$1 per pound

d)

$6 per pound

7.

A unit rate is a rate in which the unit in the denominator is:

a)

0

b)

3

c)

1

d)

2

8.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

9.

$279 for 9 concert tickets. Find the cost per ticket.

a)

$31

b)

$39

c)

$2,511

d)

$34

10.

You can buy 36 cookies for $4. What is the unit rate (in cookies per dollar)?

a)

4 cookies per dollar

b)

6 cookies per dollar

c)

9 cookies per dollar

d)

1/9 dollars per cookie

11.

Which is the better deal?
Oreos
$2.98 for 15 oz
OR
Chips Ahoy
$2.50 for 14 oz

a)

Oreos

b)

Chips Ahoy

12.

Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?

a)

$7 per hour

b)

$6 per hour

c)

$6.80 per hour

d)

$17.40 per hour

13.

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 32 minutes?

a)

10 customers

b)

7 customers

c)

8 customers

d)

12 customers

14.

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

15.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

16.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

17.

Solve for x

a)

x = 15

b)

x = 11

c)

x = 1/11

d)

x = 20

18.

What is a better value for cheese?

a)

Kraft , because it's $2.29 per oz

b)

Simple, because it's $1.88 per oz

c)

Kraft, because it's $0.44 per oz

d)

Simple, because it's $0.53 per oz

19.

Coca-Cola $1.29 for 1.25 L
or
Pepsi $2.49 for 2L
Find the unit price of each and choose the better deal.

a)

Pepsi

b)

Coca-Cola

20.

What is a complex fraction?

a)

A really hard fraction to figure out

b)

A fraction with a fraction in the numerator, denominator, or both

c)

A fraction multiplied by a decimal

d)

A fraction with an exponent

21.

Simplify the complex fraction.

a)

20

b)

36/5

c)

1/20

d)

60/3

22.

Simplify the complex fraction.

a)

7/100

b)

35/20

c)

7/4

d)

21

23.

Simplify the complex fraction.

a)

6/5

b)

5/6

c)

15/128

d)

15/16

24.

If a snail can move ³/₁₀ of a meter every ¹/₁₂ hour, what is the speed of the snail, in meters per hour?

a)

¹/₄₀

b)

⁵/₁₈

c)

1¹/₂

d)

3³/₅

25.

Sasha can mow 3/8 of an acre of grass in 3/4 an hour. How many acres of grass does Sasha mow per hour?

a)

2 acre/hr.

b)

1/2 acre/hr.

c)

9/24 acre/hr.

26.

Simplify the complex fraction.

a)

16/63

b)

14/72

c)

63/13

d)

72/14

27.

Aliya hikes for 2 hours and goes a distance of 1¹/₃ miles. What is her rate of speed in miles per hour?

a)

²/₃ mph

b)

1¹/₂ mph

c)

2²/₃ mph

d)

3¹/₃mph

28.

Which of the following is a complex fraction?

a)

$\frac{10}{3}$

b)

$\frac{1}{5}$

c)

$\frac{\frac{2}{3}}{\frac{5}{7}}$

d)

$5\frac{1}{3}$

29.

Round to the nearest tenth if necessary.

660 ft/min = ____________ ft/s

a)

1.1

b)

11

c)

.11

d)

111

30.

Round to the nearest tenth if necessary.
5.6 lb/gal = ____________ oz/gal

a)

890

b)

895

c)

896

d)

89.6

31.

Round to the nearest tenth if necessary.

32 gal/min = ____________ qt/h

a)

7,680

b)

.53

c)

76.80

d)

53

32.

Does this graph represent a proportional relationship?

a)

No, because it doesn't pass through the origin.

b)

Yes, because it doesn't pass through the origin.

c)

Yes, because it intersects the y axis.

d)

No, because it intersects the x axis.

33.

REVIEW QUESTION
Which best describes the graph represented in this table?

a)

proportional

b)

non-proportional

34.

Is the graph proportional or non proportional?

a)

proportional

b)

non proportional

35.

Which graph is proportional?

a)

A

b)

B

c)

C and D

d)

All of the graphs are proportional

36.

REVIEW QUESTION
Is this table proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

37.

Is the graph proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

38.

Which relationship is an example of a proportional function?

a)

a rental company charges $80 per day and a one-time fee of $24

b)

a taxi ride costs $2 for the first mile and $4 for each additional mile

c)

a gym membership cost $30 per month and an additional annual registration fee of $75

d)

Beverly earns $210 a week for 4 weeks

39.

Which table shows a proportional relationship?

a)

A

b)

B

c)

C

d)

D

40.

Does this table represent a proportional relationship?

a)

Yes

b)

No

41.

Which statement best describes the relationship between x (dogs) and y(paws) in the table?

a)

Proportional

b)

Not Proportional

42.

Is this table proportional?

a)

Yes

b)

No

43.

Does the table show a proportional relationship?

a)

Yes

b)

No

44.

Does the table show a proportional relationship?

a)

Yes

b)

No

45.

Write an equation for this situation.

a)

y=9.75x

b)

y=19x

c)

y=19.25x

d)

y=9.5x

46.

Which best describes the equation?
y = 75x

a)

Proportional

b)

Nonproportional

47.

Does the equation show a proportional relationship?

a)

Yes

b)

No

48.

Does the equation show a proportional relationship?

a)

Yes

b)

No

49.

Is the graph proportional or non proportional?

a)

proportional

b)

non proportional

50.

Which best describes this equation?
y= 3.75x + 2

a)

Proportional

b)

Non-proportional

51.

Does this graph represent a proportional relationship?

a)

Yes, because the line is pretty.

b)

No, because the line goes through the origin.

c)

Yes because the line goes through the origin.

d)

No, because the graph is non-proportional.

52.

Solve the proportion:

a)

c = 4

b)

c = 8

c)

c = 14

d)

c = 10

53.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

54.

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

55.

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

56.

A car is going 50 miles per hour. A rate that describes this would have units of

a)

Miles and cars

b)

Miles and hours

c)

Miles only

d)

Hours only

57.

Formulate the equation for the table given.

a)

y = 1/3x

b)

y = 3x

c)

y = 1/2x

58.

Calculate the rate of change.

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

59.

Analyze the point (3, 27). What does the point represent?

a)

The point (3,27) represents 27 shirts for $3.

b)

The point (3,27) represents $27 for 3 shirts.

60.

What is the gradient in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

61.

A line has an equation of y = - 3x + 8. What is the y-intercept of the line? Please enter your answer as a coordinate (x, y).

a)

(0, -3)

b)

(0, 3)

c)

(0, -8)

d)

(0, 8)

62.

Write the equation for this graph?

a)

y = - 10x + 60

b)

y = - 5x + 60

c)

y = - ¹/₂x + 60

d)

y = - x + 60

63.

Find the rate of change in the table.

a)

3

b)

-3

c)

20

d)

Not a constant rate/Non-Linear

64.

Find the rate of change.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

65.

Calculate the rate of change.

a)

6

b)

1/6

c)

-6

d)

-1/6

66.

The table shows the cost of long distance calls based on the number of minutes used. Is there a constant rate of change, and if so what is it?

a)

Yes, 10 calls per minute

b)

Yes, $.10 per minute

c)

Yes, $.40 per minute

d)

Not a constant rate

67.

What is the constant rate of change between the quantities in the table?

a)

40 CALORIES PER MIN.

b)

15 CALORIES PER MIN.

c)

4 CALORIES PER MIN.

d)

60 CALORIES PER MIN.

68.

What is the constant rate of change between the quantities in the table?

a)

4 calories per minute

b)

15 calories per minute

c)

40 calories per minute

d)

60 calories per minute

69.

Is this graph linear or non-linear?

a)

Linear

b)

Non-Linear

70.

Is this graph linear or non-linear?

a)

Linear

b)

Non-Linear

71.

Is this graph linear or non-linear?

a)

Linear

b)

Non-Linear

72.

Is this graph linear or non-linear?

a)

Linear

b)

Non-Linear

73.

Which statement best describes the rate of change in the table?

a)

The value of y changes by 7 each time the value of x changes by 1

b)

As x increases by 3, y increases y 18

c)

The value of y changes by 1 each time the value of x changes by 7

d)

As x increases by 1, y decreases by 7

74.

What is the meaning of the point (20, 5)?

a)

If she delivers 20 newspapers, she will earn $5.

b)

If she earns $20, she will deliver 5 newspapers.

75.

What is the meaning of the point (0, 0)?

a)

She walks 0 dogs in 0 hours

b)

She spends 0 dollars in 0 weeks.

c)

She bakes 0 cookies in 0 days.

d)

She earns 0 dollars in 0 days.

76.

What is the equation of the line?

a)

y = 20x

b)

y = x + 20

c)

y = 2x

d)

y = x + 2

77.

which graph has a negative rate of change

a)

blue

b)

red

c)

both are negative

78.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

79.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

80.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

81.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

82.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

83.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

84.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

85.

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

86.

Flag pole

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

87.

Volleyball pole

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

88.

Volleyball pole

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

89.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

90.

What type of slope is shown by the stairs in the image?

a)

positive

b)

negative

c)

undefined

d)

zero

91.

What type of slope is Mario running in the picture?

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

92.

What type of slope is shown in the image?

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

93.

Which line is the steepest?

a)

1st

b)

2nd

c)

3rd

d)

All are the same steepness

94.

Which line is the steepest?

a)

1st

b)

2nd

c)

3rd

d)

They are all the same steepness

95.

What is the slope?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

96.

What is the slope?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

97.

In the equation y=kx, k is called the ______.

a)

Independent Variable

b)

Dependent Variable

c)

Constant of Variation

d)

Statement of Variation

98.

" y varies proportionally as x"

This is an example of

a)

Equation of Variation

b)

Variation Statement

c)

Dependent Variable

d)

Independent Variable

99.

Is this a direct variation?

a)

YES

b)

NO

100.

Is this a direct variation?

a)

YES

b)

NO

101.

Is this a direct variation?

a)

YES

b)

NO

102.

What is the definition of a tip?

a)

a bonus earned for selling a quota of product or service

b)

money you find on a park bench

c)

a set amount of money earned per week. Like an allowance.

d)

additional money given to a person for providing great service.

103.

What is commission?

a)

a bonus earned for selling a quota of product or service

b)

money you find on a park bench

c)

a set amount of money earned per week. Like an allowance.

d)

additional money given to a person for providing great service.

104.

When calculating a tip you must convert the percent to a decimal. If you want to leave a 15%, what decimal would you use?

a)

15

b)

1.5

c)

.15

d)

.015

105.

When calculating commission you must convert the percent to a decimal. If the commission rate is 20%, what decimal would you use?

a)

20

b)

2.0

c)

.2

d)

.02

106.

Which formula would you use to calculate your income including commission?

a)

Base Salary + Commission = Total Salary

b)

Base Salary - Commission = Total Salary

c)

Base Salary x Commission = Total salary

d)

Base Salary / Commission = Total Salary

107.

If you sold a car worth $20,000 and your commission for the sale was 10%, how much would you make off of the sale of the car?

a)

$1000

b)

$2000

c)

$20000

d)

$22000

108.

In the expression 3p + 4, what is the word for the number 3?

a)

term

b)

coefficient

c)

product

d)

sum

109.

Which expression represents $s$ students split evenly into 5 groups?

a)

$\frac{s}{5}$

b)

$5s$

c)

$s+5$

d)

$s-5$

110.

Which phrase describes this expression?

6y + 4

a)

6 times the sum of y and 4

b)

The product of 6 and 4 times y

c)

4 more than the sum of 6 and y

d)

The product of 6 and y plus 4

111.

In an algebraic expression, what is the word that describes the letter that stands for an unknown number?

a)

term

b)

coefficient

c)

variable

d)

product

112.

In the expression 3p + 4, what is the word for the letter p?

a)

term

b)

coefficient

c)

product

d)

variable

113.

In the expression 3p + 4, what parts of the expression are 3p and 4?

a)

terms

b)

coefficient

c)

product

d)

sum

114.

What are the constants in the expression?
-4x + 6y - 2

a)

-4x, 6y, -2

b)

x, y

c)

4x, 6y

d)

-2

115.

What are the terms in the expression?
4 + 16v

a)

4, 16v

b)

4

c)

v

d)

+16

116.

What are the coefficients in the expression?
4 + 16v

a)

4, 16v

b)

4

c)

16

d)

+16

117.

$2m\ +\ 3y\ -\ 7$

How many terms are there in this expression?

a)

Three

b)

Five

c)

Two

d)

One

118.

Evaluate 16 – x at x = 5.

(a)

119.

Evaluate 3n at n = 11.

(a)

120.

Evaluate $p^3$ at p = 2.

(a)

121.

Evaluate $r\ +\ 4$ at r = 13.

(a)

122.

Evaluate $\frac{4}{m}$ at m = 1.

(a)

123.

Evaluate $c-9$ at c = 16.

(a)

124.

Evaluate $b^2$ at b = 4.

(a)

125.

Evaluate $\frac{y}{3}$ at y = 15.

(a)

126.

Evaluate $\frac{27}{s}$ at $s=9$ .

(a)

127.

Evaluate $\frac{q}{3}+4$ at $q\ =18$ .

(a)

128.

Evaluate $xy-5\ at\ x=5,y=2$ .

(a)

129.

Evaluate $r+s^2\ \ \ \ at\ r=4\ and\ s=1$ .

(a)

130.

Evaluate $\frac{c^2}{d}\ \ \ \ \ \ at\ c=6,\ and\ d=3$ .

(a)

131.

Evaluate $2gh\ \ \ \ \ at\ \ \ g=3\ and\ h=4$ .

(a)

132.

Evaluate $\frac{a-b}{3}\ \ \ \ \ \ \ at\ \ a=9\ and\ b=6$ .

(a)

133.

Evaluate $v\ +\ w\ \ \ \ \ \ at\ v\ =\ 2\ and\ w\ =\ 5$ .

(a)

134.

Evaluate $xy\ -\ z\ at\ x\ =\ 4,\ y\ =\ 5,\ and\ z\ =\ 7$ .

(a)

135.

The √40 is between which two integers?

a)

39 and 41

b)

6 and 7

c)

5 and 6

d)

19 and 21

136.

The √21 is between which two integers?

a)

5 and 6

b)

20 and 22

c)

4 and 5

d)

10 and 11

137.

What is the area of a square with a side of 7?

a)

14

b)

28

c)

49

d)

64

138.

In between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

139.

The area of a square is 36 cm². What is the length of one side?

a)

6 cm

b)

24 cm

c)

9 cm

d)

9 cm

140.

Square root is the inverse of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

141.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

142.

Which of the following is not a perfect square?

a)

110

b)

4

c)

1

d)

81

143.

What is the area of a square with a side of 12?

a)

144

b)

24

c)

48

d)

6

144.

A perfect square is when a whole number is multiplied by itself?

a)

FALSE

b)

TRUE

145.

To find the square root of a number, you must divide it by 2.

a)

True

b)

False

146.

The sum 1 + 3 + 5 + 7 +9 equals

a)

$4^2$

b)

$5^2$

c)

$6^2$

d)

$9^2$

147.

The Pythagorean Triplets if the smallest side is 10 would be _____

a)

(10, 21, 23)

b)

(6, 8 10)

c)

(10, 13, 15)

d)

(10, 24, 26)

7th Grade Math Review

Total questions: 147

Worksheet time: 6hrs 39mins

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