Free Printable 7th grade FSA Ratio, Number System, Expressions & Equations

1.

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

a)

$8 per pound

b)

$35 per pound

c)

$5 per pound

d)

$0.125 per pound

2.

A store has 120 customers in 6 hours. What is the unit rate in customers per hour?

a)

16 customers per hour

b)

12 customers per hour

c)

20 customers per hour

d)

15 customers per hour

3.

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 30 minutes?

a)

16 customers

b)

10.5 customers

c)

7.5 customers

d)

14 customers

4.

Which is the better buy? A 12-pack of Pepsi for $3.50 or a 6-pack for $1.80?

a)

The 12-pack

b)

The 6-pack

c)

They're the same

d)

Neither, I prefer Coke

5.

You go to the grocery store to buy dog food. The store has three sizes available:

A 20-lb bag for $23.44

An 8-lb bag for $9.88

A 40-lb bag for $49.00

Which size bag has the lowest cost per pound rounded to the nearest cent?

a)

The 8-lb bag

b)

The 20-lb bag

c)

The 40-lb bag

d)

I have a cat

6.

It takes 4 quarts of paint to cover 560 square feet. How many quarts of the same paint are needed to cover 140 square feet?

a)

4 1/2 quarts

b)

2 quarts

c)

1 quart

7.

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

a)

$8 per pound

b)

$35 per pound

c)

$5 per pound

d)

$0.125 per pound

8.

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

a)

$.50 per pound

b)

$1.25 per pound

c)

$3 per pound

d)

$2.50 per pound

9.

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 30 minutes?

a)

16 customers

b)

10.5 customers

c)

7.5 customers

d)

14 customers

10.

After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?

a)

400 miles

b)

325 miles

c)

575 miles

d)

650 miles

11.

Which is the better buy? A 12-pack of Pepsi for $3.50 or a 6-pack for $1.80?

a)

The 12-pack

b)

The 6-pack

c)

They're the same

d)

Neither, I prefer Coke

12.

You're throwing a party, and you ordered 15 pizzas for your guests. Your total came to $97.50. What was your unit cost per pizza?

a)

$4.95 per pizza

b)

$5.75 per pizza

c)

$7.25 per pizza

d)

$6.50 per pizza

13.

A rate is a ratio that compares

a)

A part to a part

b)

A part to a whole

c)

Quantities with different units

d)

Quantities with the same units

14.

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

15.

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

a)

0

b)

3

c)

1

d)

2

16.

You go to the grocery store to buy dog food. The store has three sizes available:

A 20-lb bag for $23.44

An 8-lb bag for $9.88

A 40-lb bag for $49.00

Which size bag has the lowest cost per pound rounded to the nearest cent?

a)

The 8-lb bag

b)

The 20-lb bag

c)

The 40-lb bag

d)

I have a cat

17.

Harry mowed eight lawns and earned $96. How much did he earn for each lawn?

a)

$96

b)

$12

c)

$768

d)

$8

18.

Water flows from a faucet at a rate of 5 gallons every 25 seconds. At this rate, how many gallons will flow from the faucet in 45 seconds?

a)

9 gallons

b)

5 gallons

c)

11 gallons

d)

40 gallons

19.

A machine can pack 70 boxes of spaghetti in 5 minutes. At this rate, how many boxes can they pack in 8 minutes.

a)

35 boxes

b)

14 boxes

c)

112 boxes

d)

560 boxes

20.

Which is the "better buy"? A 12 ounce can of corn for $1.92 of a 20 ounce can of corn for $3.00?

a)

They are the same

b)

The 20 ounce can

c)

The 12 ounce can

21.

One snowy day, the snow was falling at a rate of 3 inches per hour. If it kept snowing at the same rate, now many inches would accumulate in 2½ hours

a)

7 ½ inches

b)

6 ½ inches

c)

5 ½ inches

22.

An eight pack of juice boxes costs $4.79, and a 12 pack of juice boxes cost $6.59. Use this information to calculate the better buy.

a)

8 pack

b)

12 pack

23.

What is the quotient of these fractions in lowest terms?

a)

6/40

b)

6/10

c)

3/5

d)

12/20

24.

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

a)

$\frac{10}{6}$

b)

$\frac{6}{10}$

c)

$\frac{4}{15}$

d)

$\frac{15}{4}$

25.

On a number line |3.45| and -3.45 are the same point.

a)

true

b)

false

26.

The distance between -2.4 and 0 on a number line is |-2.4| units.

a)

true

b)

false

27.

On a number line |-15.2| is the same point as |15.2|

a)

true

b)

false

28.

-4 + (-3) = ?

a)

7

b)

1

c)

-1

d)

-7

29.

-4 + (-3) = ?

a)

7

b)

1

c)

-1

d)

-7

30.

-5 + 9 = ?

a)

-4

b)

4

c)

-14

d)

14

31.

2 + (-8) = ?

a)

6

b)

10

c)

-16

d)

-6

32.

-1 + -9 = ?

a)

-10

b)

10

c)

9

d)

-8

33.

7 + (-3) = ?

a)

-4

b)

4

c)

10

d)

-10

34.

-1 + (-5) + 3 = ?

a)

-3

b)

-6

c)

3

d)

9

35.

7 + 2 + (-10) = ?

a)

4

b)

1

c)

-1

d)

19

36.

-3 + 5 + (-4) = ?

a)

2

b)

-2

c)

8

d)

-6

37.

5 + (-5) + (-12) = ?

a)

0

b)

12

c)

-12

d)

-17

38.

-3 + (-7) + (-5) = ?

a)

-15

b)

15

c)

5

d)

-10

39.

-3 - 2

a)

-1

b)

-5

c)

1

d)

6

40.

-7 - 2

a)

-9

b)

9

c)

5

d)

-5

41.

19 - (-19)

a)

0

b)

36

c)

26

d)

38

42.

-7 - (-7)

a)

14

b)

0

c)

-14

d)

1

43.

-1 - 5 =

a)

4

b)

6

c)

-6

d)

-4

44.

0 - 7 =

a)

0

b)

7

c)

-7

d)

1

45.

6 - 2 =

a)

4

b)

-4

c)

8

d)

-8

46.

-4 - (-9) =

a)

5

b)

-5

c)

13

d)

-13

47.

8 - 10 =

a)

2

b)

-2

c)

18

d)

-18

48.

3/5 + 3/10

a)

9/12

b)

9/10

c)

3/5

d)

6/10

49.

1/3 + 1/9

a)

4/9

b)

9/12

c)

6/15

d)

3/12

50.

5/12 + 1/3

a)

6/12

b)

9/12

c)

6/15

d)

3/4

51.

1/6 + 1/12

a)

3/12

b)

3/8

c)

2/12

d)

1/4

52.

2/3 +2/9

a)

4/9

b)

8/9

c)

4/12

d)

4/18

53.

7/18 + 1/3

a)

8/18

b)

13/18

c)

8/21

d)

2/6

54.

1/2 + 9/20

a)

10/20

b)

1/2

c)

13/20

d)

19/20

55.

1/8 + 11/16

a)

13/16

b)

6/8

c)

12/16

d)

1/8

56.

3/20 + 3/4

a)

18/20

b)

6/20

c)

9/10

d)

9/20

57.

What is the least common denominator for 1/3 and 3/4?

a)

6

b)

4

c)

3

d)

12

58.

What is the least common denominator for 6/7 and 1/2?

a)

12

b)

14

c)

7

d)

6

59.

7/8 - 7/12

a)

7/24

b)

1/4

c)

7/12

d)

4/24

60.

3/4 - 1/2

a)

1/3

b)

1/4

c)

2/3

d)

1/5

61.

1/2 - 1/8

a)

5/8

b)

2/5

c)

3/8

d)

5/6

62.

8/15 - 1/6

a)

2/3

b)

7/15

c)

8/11

d)

11/30

63.

7/8 - 5/6

a)

1/24

b)

2/3

c)

5/24

d)

8/9

64.

5/8 - 9/16

a)

2/3

b)

1/16

c)

15/16

d)

7/8

65.

11/12 - 1/4

a)

3/4

b)

7/8

c)

2/3

d)

1/3

66.

3/10 - 1/5

a)

2/11

b)

4/5

c)

2/3

d)

1/10

67.

11/20 - 2/5

a)

3/20

b)

9/15

c)

8/11

d)

7/20

68.

Simplify: 8/24

a)

1/4

b)

2/5

c)

1/6

d)

1/3

69.

What is the recriprocal of 5

a)

5/1

b)

1/5

70.

Find the product.

a)

2/14

b)

1/49

c)

2/7

d)

1/14

71.

Multiply

a)

6

b)

4 / 45

c)

20

d)

7 /45

72.

3 ÷ ⅚

a)

5/18

b)

2/5

c)

18/5

d)

3/5

73.

Find the product. Then, simplify.

a)

10/18

b)

5/9

c)

10/6

d)

15/12

74.

a)

5/14

b)

6/14

c)

7/17

d)

8/14

75.

Multiply these fractions

a)

10 / 15

b)

15 / 10

c)

2 / 3

d)

50 / 3

76.

Divide

a)

1

b)

6/11

c)

6/5

d)

11/5

77.

¹/₄ ÷ ²/₅

a)

⁵/₈

b)

2/20

c)

¹/₁₀

d)

³/₉

78.

3/5 + 3/10

a)

9/12

b)

9/10

c)

3/5

d)

6/10

79.

1/3 + 1/9

a)

4/9

b)

9/12

c)

6/15

d)

3/12

80.

5/12 + 1/3

a)

6/12

b)

9/12

c)

6/15

d)

3/4

81.

1/6 + 1/12

a)

3/12

b)

3/8

c)

2/12

d)

1/4

82.

2/3 +2/9

a)

4/9

b)

8/9

c)

4/12

d)

4/18

83.

7/18 + 1/3

a)

8/18

b)

13/18

c)

8/21

d)

2/6

84.

1/2 + 9/20

a)

10/20

b)

1/2

c)

13/20

d)

19/20

85.

1/8 + 11/16

a)

13/16

b)

6/8

c)

12/16

d)

1/8

86.

3/20 + 3/4

a)

18/20

b)

6/20

c)

9/10

d)

9/20

87.

What is the least common denominator for 1/3 and 3/4?

a)

6

b)

4

c)

3

d)

12

88.

What is the least common denominator for 6/7 and 1/2?

a)

12

b)

14

c)

7

d)

6

89.

3/4 - 1/2

a)

1/3

b)

1/4

c)

2/3

d)

1/5

90.

1/2 - 1/8

a)

5/8

b)

2/5

c)

3/8

d)

5/6

91.

5/8 - 9/16

a)

2/3

b)

1/16

c)

15/16

d)

7/8

92.

3/10 - 1/5

a)

2/11

b)

4/5

c)

2/3

d)

1/10

93.

11/20 - 2/5

a)

3/20

b)

9/15

c)

8/11

d)

7/20

94.

What is the simplified form of this expression
3x+4+5x+3

a)

15x

b)

8x+7

c)

7x+8

95.

Add these expressions
(3x+15) + (4x+13)

a)

7x+ 28

b)

35x

c)

x+2

96.

6z + 3 -4z = 9

a)

z = 3

b)

z = 60

c)

z = 30

d)

z = 1

97.

Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase?

a)

4 boxes

b)

5 boxes

c)

6 boxes

d)

7 boxes

98.

Solve
-5t + 9 = 24

a)

t = -3

b)

t = 3

c)

t = 6

d)

t = 12

99.

Solve 12 - 6y = 24

a)

2

b)

-2

c)

3

d)

-3

100.

3x + 2(4x - 4) = 3

a)

x = 22

b)

x = -22

c)

x = 1

d)

x = -1

101.

3x + 10(1 – 7x)

a)

13x – 7

b)

–67x + 10

c)

–4x + 10

d)

–73x + 10

102.

–2n + 5(–3 + 3n)

a)

–15 + n

b)

17n – 15

c)

13n – 15

d)

–17n + 3

103.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

104.

Evaluate the expression. Let c = 3 d = 2
3c + 7d

a)

27

b)

21

c)

29

d)

23

105.

What is the first step to solve this equation:
11 - 3x = 44

a)

Subtract 11 from both sides

b)

Divide - 3 on both sides

c)

Add 3 to both sides

d)

Add 11 to both sides

106.

Solve:
7x - 3x - 8 = 24

a)

8

b)

-8

c)

3.2

d)

4

107.

-6(8x-7)=522

a)

x=-10

b)

x=109

c)

x=10

d)

x=4

108.

Which expression represents the area?

a)

6x + 3

b)

8x + 12

c)

8x² + 12

d)

8x + 3

109.

Which expression represents the area of the rectangle?

a)

12x - 2

b)

12x - 1

c)

8x - 2

d)

36x² - 2

110.

Evaluate the expression:
15f - 60 if f = 5

a)

15

b)

95

c)

30

d)

-45

111.

Applying the distributive property to the expression, 24x + 18y, will produce which equivalent expression?

a)

3(8x + 6y)

b)

3xy(8 + 6)

c)

6(4x + 3y)

d)

6(4 + 3y)

112.

Simplify the following expression:
8x + 9y - 10 + 4x

a)

12x - y

b)

12x + 9y - 10

c)

11xy

d)

12x² + 9y - 10

113.

Factor the following expression completely:
16x + 24

a)

10(6x + 14)

b)

8(2x + 3)

c)

8x(2 + 3)

d)

4(2x + 6)

114.

Solve for x:
x/3 + 9 = 6

a)

45

b)

9

c)

-1

d)

-9

115.

Solve for x:
x + 1/3 = 5/6

a)

7/6

b)

5/6

c)

1/2

d)

4/3

7th grade FSA Ratio, Number System, Expressions & Equations

Total questions: 115

Worksheet time: 10hrs 35mins

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