Free Printable 7th grade review day 1 (Proportions and Rationals)

1.

Write the equation for the table given

a)

y = 1/3x

b)

y = 3x

c)

y = 3

d)

x = 3y

2.

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

a)

y

b)

x

c)

14

d)

y=14x

3.

Janet used 155 beads to create 5 necklaces. What is the constant of proportionality of beads per necklace

a)

31

b)

775

c)

160

d)

150

4.

Ben earns extra money as a painter. He earns $41 for 4 hours and $71.75 for 7 hours. What is the constant of proportionality of dollars per hour?

a)

$37

b)

$64.75

c)

$10.25

d)

$18.50

5.

What is the constant of proportionality?

a)

1

b)

2

c)

3

d)

4

6.

Is this table proportional or non-proportional?

a)

Proportional because the COP is $\frac{1}{4}$

b)

Non-Proportional because there is no COP

c)

Proportional because the COP is 4

d)

Non-Proportional because is does not go through the origin

7.

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.

8.

Is this table proportional?

a)

yes because it will go through the origin and is a straight line

b)

no because the C.O.P. for each line is different

c)

yes because it increases by 1

d)

no because there is no origin

9.

What is the constant of proportionality of money per hour?

a)

$3

b)

$4

c)

$2

d)

$9

10.

What is the equation for the graph?

a)

y=46x

b)

x=46y

c)

y=92x

d)

x=92y

11.

What does the point (2,4) represent?

a)

They get 2 cm of rain in 4 hours

b)

In 2 hours it rains 4 cm

c)

¹/₂ cm per hour

d)

1/2 hour per 1 cm of rain

12.

The distance a bicyclist travels is proportional with the number of hours. Using a proportion, solve for how long it will take to travel 228 miles

a)

19

b)

1.5833333

c)

57

d)

21.2

13.

Which ratio below is proportional to the ratio 5/6?

a)

6/5

b)

50/75

c)

25/30

d)

12/10

14.

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?

a)

2.5 cups milk

b)

1.75 cups milk

c)

2 cups flour

d)

2.25 cups milk

15.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

16.

Solve.

a)

4

b)

1

c)

16

d)

2

17.

Solve the proportion:

a)

3

b)

4

c)

9

d)

6

18.

Cross Multiply/Cross Products

a)

15

b)

420

c)

28

d)

16

19.

Solve the proportion.

a)

p=31.3

b)

p=308

c)

p=924

d)

p=532

20.

Do the ratios form a proportion?

a)

Yes, they form a proportion.

b)

No, they do not form a proportion.

21.

Do the ratios form a proportion?

a)

Yes, they form a proportion.

b)

No, they do not form a proportion.

22.

Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?

a)

$30

b)

$20

c)

$60

d)

$10

23.

Use the table to write a proportion.

a)

2.08/16=d/8

b)

8/d=16/2.08

c)

2.08/16=8/d

d)

2.08/8=d/16

24.

Write a proportion to find how many points a student needs to score on a test in order to get the given percent:
The test is worth 12 points.
The test score is 75%.

a)

p/12=100/75

b)

p/100=12/75

c)

p/12=75/100

d)

p/75=12/100

25.

Write a proportion to find how many points a student needs to score on a test in order to get the given percent:
The test is worth 60 points.
The test score is 50%.

a)

p/100=50/60

b)

p/50=60/100

c)

p/60=100/50

d)

p/60=50/100

26.

Richard rowed a canoe for ½ hour and made it 3½ miles down the river. What is his average speed in miles per hour?

a)

6mph

b)

6 1/2 miles per hour

c)

7 miles per hour

d)

1/4 miles per hour

27.

The girls soccer team finished the season with a record of 7 wins and 3 losses. What is the ratio of losses to wins?

a)

3:7

b)

7:3

c)

3:10

d)

7:10

28.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

29.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

30.

Solve for x

a)

x = 16

b)

x = 28

c)

x = 1/26

d)

x = 26

31.

Solve the proportion:

a)

4

b)

8

c)

14

d)

10

32.

Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?

a)

$30

b)

$20

c)

$60

d)

$10

33.

2 apples cost $20. What will 5 Apples cost?

a)

28

b)

45

c)

50

d)

39

34.

(a)

35.

$\frac{2x}{20\ }=\ \frac{2}{4}$

a)

x= 20

b)

x= 4

c)

x= 5

d)

x = 2

36.

If there are 6 red cars sold to every 3 blue cars, is it the same proportion as 2 red cars to every 1 blue car?

a)

Yes

b)

No

37.

What is a proportion?

a)

When two ratios can be simplified

b)

When two ratios are equivalent and show the same value

c)

When two ratios have the exact same numbers

d)

When two ratios can be multiplied by 2

38.

A dolphin travels through the water at a speed of 25 kilometers per hour. Select two representations that show the distance a dolphin can travel at this rate.

a)

b)

y = x + 25

c)

d)

In 5 hours the dolphin can travel 125 kilometers.

39.

Which of the following statements is TRUE about the graph? Choose all that apply.

a)

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

b)

The point (1.5, 6) shows the cost is $6.00 for 1.5pounds of cheese.

c)

The point (0.75, 3) shows that 0.75 pound of cheesecosts $3.00.

d)

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

e)

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

40.

When we compare quantities, we compare them as _____ over ______.

a)

x over y

b)

y over x

c)

rate over one

d)

peanut butter over jelly

41.

Cheddar Cheese cost $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar cheese?

a)

x = 4.25y

b)

y = 4.25x

c)

y = 4.25 - x

d)

y = 4.25 + x

42.

Write an equation for this situation.

a)

k=19.25x

b)

y=19x

c)

y=19.25x

d)

y=9.5x

43.

Which best describes the graph represented in this table?

a)

proportional

b)

non-proportional

44.

Identify the constant of proportionality.

a)

k = 2x

b)

k = 2

c)

k = 4

d)

none (not proportional)

45.

The constant of proportionality can be found by finding the __________ _____________.

a)

proportion answer

b)

unit rate

c)

rational number

d)

ratio rate

46.

Identify the constant of proportionality.

a)

k = 1/0.45

b)

k = 0.45

c)

k = -0.45

d)

k = -1/0.45

e)

none (not proportional)

47.

6. AMUSEMENT PARKS The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are in line?

a)

32 People

b)

32 Min.

c)

12.5 Min.

d)

12.5 People

48.

What is the Constant of Proportionality?

a)

46

b)

92

c)

0.2

d)

not proportional

49.

Identify the constant of proportionality.

a)

k = 5

b)

k = 1/5

c)

k = 1

d)

k = 2.5

e)

none (not proportional)

50.

A proportional relationship can be written as an equation in the form:

a)

y = k+x

b)

y = k-x

c)

y = kx

d)

y = k/x

51.

Write an equation for this relationship.

a)

y=18x

b)

y=18.50x

c)

y=22.50x

d)

y=22x

52.

Which graph is proportional?

a)

A

b)

B

c)

C and D

d)

All of the graphs are proportional

53.

Integers are ____________ rational.

a)

always

b)

sometimes

c)

never

54.

0.33333 is considered a ________ decimal

a)

repeating

b)

terminating

55.

A fraction is which type of number?

a)

Rational

b)

Irrational

c)

Integer

d)

Whole

56.

Compare.
- ½ ⅓

a)

<

b)

>

c)

=

57.

Order from greatest to least: -12, 15, -1, 3,

a)

15, 3, -1, -12

b)

15, 3, -12, -1

c)

-1, -12, 3, 15

d)

-12, -1, 3, 15

58.

Which number is farthest from 0?

a)

-6

b)

-4

c)

3

d)

5

59.

What is |-20| ?

a)

20

b)

-20

c)

1/20

d)

-1/20

60.

Convert 2/5 from a fraction to a decimal.

a)

.02

b)

.04

c)

.2

d)

.4

61.

Convert 0.75 to fraction form.

a)

3/6

b)

3/4

c)

2/6

d)

1/4

62.

Which of the following are sets of integers?

a)

5.5, -7.9, 0, 18

b)

5, -10, 0, 23, -19

c)

2 1/3, 19, -3.79, -5.5, 3 1/4

63.

Which is greater: -3 or 1/6

a)

They are equal.

b)

-3

c)

Depends on if it's hot outside.

d)

1/6

64.

What is the absolute value of | -7 |?

a)

-7

b)

7

c)

-7 and 7

65.

What is .67 as a fraction?

a)

67/100

b)

67/1000

66.

What is .005 as a fraction?

a)

5/1000

b)

5/10

67.

write -3/8 as a decimal.

a)

0.375

b)

2.666...

c)

-2.666...

d)

-0.375

68.

Convert 15/2 into a mixed number.

a)

6 1/2

b)

7 1/2

c)

8

d)

8 1/2

69.

Convert 15/2 into a mixed number.

a)

6 1/2

b)

7 1/2

c)

8

d)

8 1/2

70.

Convert 2/25 from a fraction to a decimal

a)

2.25

b)

.25

c)

.8

d)

.08

71.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

72.

A rational number can be written as a fraction.

a)

True

b)

False

73.

0.8 is a rational number

a)

True

b)

False

74.

0 is a whole number

a)

True

b)

False

75.

-9 is an integer

a)

True

b)

False

76.

6 is a rational number

a)

True

b)

False

77.

Classify the Number: -23

a)

Rational

b)

rational, integer

c)

integer

d)

rational, whole

78.

How would 5/9 be classified?

a)

rational

b)

whole and integer

c)

only integer

d)

only whole

79.

Does this graphic organizer correctly group the numbers?

a)

Yes

b)

No

80.

Does the graphic organizer correctly group the numbers?

a)

Yes

b)

No

81.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

82.

A rational number can be written as a fraction.

a)

True

b)

False

83.

Classify this number: 6.7

a)

natural

b)

rational

c)

whole

d)

rational, integer, and whole

84.

What number below is a natural, whole, integer, and rational number ?

a)

-4

b)

5.1

c)

0.7

d)

3

85.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

86.

What is 1.2 as a fraction?

a)

3/25

b)

1/2

c)

1 2/5

d)

1 1/5

87.

Convert 0.35 to a fraction.

a)

35/99

b)

7/20

c)

3.5/100

d)

3/5

88.

Order from least to greatest:
[-8, 7, -6, 5, -4, 3, -2]

a)

^{-2, 3, -4, 5, -6, 7, -8}

b)

^{-2, -4, -6, -8, 3, 5, 7}

c)

^{-6, -8, -4, -2, 7, 5, 3}

d)

^{-8, -6, -4, -2, 3, 5, 7}

89.

Complete the statement using <, = or >.
−9.43 __ −9.34

a)

>

b)

<

c)

=

d)

none

90.

How can you write 0.43 as a rational number?

a)

43/10

b)

43/1000

c)

43/100

d)

43/1

91.

Write 4/100 as a decimal

a)

.40

b)

.04

c)

4.4

d)

4

92.

Convert 11/20 from a fraction to a decimal

a)

5.5

b)

.55

c)

.11

d)

.1120

93.

Convert 2/5 from a fraction to a decimal

a)

.02

b)

.04

c)

.2

d)

.4

94.

Which of the marks would represent correctly?
I -6.3 I

a)

Blue

b)

Green

c)

Red

d)

Orange

95.

The Blue Mark could represent what number?

a)

5.2

b)

-5.2

c)

4.7

d)

5.7

96.

What is the definition of absolute value

a)

a negative number away from zero

b)

the distance a number is from zero

c)

a positive number away from zero

d)

a number called zero

97.

Order the integers from least to greatest.
		4, –4, –2, 2, –8

a)

4,-4,-2,2,-8

b)

4, 2, -2, -4, -8

c)

-8, -4, -2, 2, 4

d)

8, 2, -24, -4

98.

Choose the symbol that makes the sentence true.
4 ___ | -4 |

a)

<

b)

>

c)

=

99.

Order the numbers from least to greatest:
{43, 0, -9, -4, -88}

a)

{-88, -4, -9, 0, 43}

b)

{43, 0, -4, -9, -88}

c)

{-88, -9, -4, 0, 43}

d)

{-4, -9, -88, 0, 43}

100.

Select all numbers whose absolute value is greater than 8.

a)

| 11 |

b)

|-7|

c)

|-8|

d)

| 4 |

e)

|-13|

101.

Order from greatest to least: -12, 15, -1, 3,

a)

15, 3, -1, -12

b)

15, 3, -12, -1

c)

-1, -12, 3, 15

d)

-12, -1, 3, 15

102.

What is the opposite of 1/4?

a)

-4

b)

- 1/4

c)

1/4

d)

4

103.

Which phrase best describes the position of the opposite of 4?

a)

four whole number units to the left of 0

b)

four whole number units to the right of 0

c)

four whole number units to the left of 4

d)

four whole number units to the right of 4

104.

If you are at SEA LEVEL, you are at
______on a number line.

a)

Positive

b)

Negative

c)

Zero

105.

Monday's temperature was -3°F and Tuesday's was -5°F. Which day was colder?

a)

neither they were equal

b)

Monday

c)

Tuesday

d)

Friday

106.

a)

Whole numbers

b)

Rational numbers

c)

Integers

107.

A worker in a silver mine descends 60 feet. Use an integer to represent the change in the worker's position.

a)

60

b)

−60 feet

c)

60 feet

d)

−60

108.

Which of these situations can be represented by the opposite of 4?

a)

You climb up 4 flights of stairs.

b)

You walk down 4 flights of stairs.

c)

The temperature rises 4⁰F.

d)

A plant grows 4 inches taller.

109.

Find the sum of 5 + (−4)

a)

9

b)

−9

c)

4

d)

1

110.

Which of the following are sums of additive inverses?

a)

8+8

b)

8+0

c)

8+(−8)

d)

−8+(−8)

111.

−28+(−8)=

a)

36

b)

−36

c)

−20

d)

20

112.

⅗+(−⅕)=

a)

⅖

b)

−⅖

c)

⅘

113.

In his garden Tim plants a tomato seed 5¼ inches below the ground. After one month the tomato plant has grown a total of 11½ in. How many inches is the plant above the ground?

a)

16¾ inches

b)

6½ inches

c)

6¼ inches

114.

Mrs. Byrne is at her house. She gets in her car and drives north 3.4 miles and stops at Target. Then she turns around and drives south 6.1 miles to go to Mrs. Mangini's house. How far is Mrs. Byrne's house from Mrs. Mangini's house?

a)

9.3 miles

b)

2.7 miles

c)

3.3 miles

115.

Find −2¼−3⅞

a)

1⅝

b)

−1⅝

c)

−6⅛

116.

-3 + (-2)

(a)

117.

-6 + 7

(a)

118.

-7 + (-8)

(a)

119.

-11 + 15

(a)

120.

3 + (-9)

(a)

121.

5 - (-9) =

(a)

122.

-67 + -80

(a)

123.

-265 + 593

(a)

124.

677 + (-798)

(a)

125.

-12 + -9

(a)

126.

-4 - 2

(a)

127.

22 ÷ (-2)

(a)

128.

(-2)(-11)

(a)

129.

44/-4=

(a)

130.

(-12) x (a) = -84

131.

7 • (–5) = (a)

132.

18 + (-13)

(a)

133.

Solve:

-7\left(-9\right)

(a)

134.

Solve:

9\left(-12\right)

(a)

135.

Solve:

\left(-3\right)^3

(a)

136.

Solve.

-8 + (-10) =

a)

18

b)

-18

c)

2

d)

-2

137.

Solve.

-12 + (-5) =

a)

7

b)

17

c)

-17

d)

10

138.

Solve.

-9 + (-4) =

a)

-13

b)

5

c)

-5

d)

13

139.

Solve.

-19 + (-3) =

a)

16

b)

-22

c)

22

d)

-16

140.

Solve.

-11 + (-11) =

a)

-22

b)

22

c)

0

d)

12

141.

Solve.

-15 + (-5) =

a)

-10

b)

10

c)

-20

d)

20

142.

Solve.

-19 + (-10) =

a)

-29

b)

29

c)

-9

d)

9

143.

Solve.

-7 + (-2) =

a)

-9

b)

9

c)

5

d)

3

144.

Solve.

-10 + (-10) =

a)

0

b)

20

c)

100

d)

-20

145.

Solve.

-5 + (-5) =

a)

-10

b)

10

c)

0

d)

25

146.

What temperature is the thermometer showing?

a)

4

b)

-5

c)

-4

d)

3

147.

What is the absolute value of -15?

|-15|= (a)

148.

How far below sea level is the tire?

a)

3

b)

-1

c)

2

d)

-3

149.

What is the distance between the fish and the tire

a)

-1

b)

3

c)

1

d)

-2

150.

What temperature does the thermometer show?

a)

16

b)

19

c)

-16

d)

13

151.

How far below sea level is the fish?

a)

-2

b)

1

c)

-3

d)

2

152.

|-5| _____ 5

a)

<

b)

=

c)

>

153.

$50\ -\ 25=$

a)

25

b)

50

c)

-25

d)

35

154.

$25-50=$

a)

2

b)

-25

c)

25

d)

-50

155.

If you have $60 in your bank account and spend $70, how much money is left in you account?

a)

10

b)

130

c)

-10

d)

13

156.

37 + 73 =

a)

146

b)

100

c)

110

157.

-2 x 3

a)

-6

b)

6

c)

-5

d)

5

158.

-4 x -5

a)

-20

b)

20

c)

10

d)

9

159.

6 x 9

a)

54

b)

45

c)

42

d)

96

160.

6 x -3

a)

12

b)

18

c)

-12

d)

-18

161.

-9 x -7

a)

63

b)

62

c)

-62

d)

-63

162.

7 x -5

a)

35

b)

40

c)

-35

d)

-40

163.

-10 x -8

a)

18

b)

-18

c)

-80

d)

80

164.

-4 x 8

a)

24

b)

32

c)

-24

d)

-32

165.

-3 x 12

a)

36

b)

-36

c)

24

d)

-24

166.

-2 x 11

a)

22

b)

33

c)

-33

d)

-22

7th grade review day 1 (Proportions and Rationals)

Total questions: 166

Worksheet time: 8hrs 45mins

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