Free Printable Unit 6 EOU Math 7 Review

1.

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

2.

Solve for x:

3x-7=2

a)

$\frac{5}{3}$

b)

$\frac{1}{3}$

c)

$3$

d)

$5$

3.

Solve for m:

\frac{m}{4}+9=21

a)

$\frac{1}{5}$

b)

$5$

c)

$\frac{1}{3}$

d)

$3$

4.

Solve for p:

-7p+5=19

a)

$2$

b)

$-2$

c)

$4$

d)

$\frac{1}{2}$

5.

Solve for y:

9-2y=11

a)

$-1$

b)

$1$

c)

$10$

d)

$-10$

6.

Solve for x:

\frac{x}{8}-1=2

a)

$6$

b)

$\frac{3}{8}$

c)

$-10$

d)

$24$

7.

Solve for t:

-t+11=19

a)

$-30$

b)

$30$

c)

$8$

d)

$-8$

8.

Solve for m:

-13+2m=3

a)

$-8$

b)

$5$

c)

$8$

d)

$\frac{1}{5}$

9.

Solve for p:

\frac{1}{2}p+2\ =\ 10

a)

$16$

b)

$4$

c)

$-4$

d)

$\frac{1}{16}$

10.

Solve for y:

-4y-11=13

a)

$\frac{1}{6}$

b)

$-6$

c)

$-\frac{1}{2}$

d)

$-2$

11.

Solve for t:

7t+8=29

a)

$4$

b)

$-3$

c)

$3$

d)

$\frac{7}{8}$

12.

Solve for x:

28=5x-2

a)

$\frac{5}{6}$

b)

$16$

c)

$6$

d)

$5$

13.

Solve for m:

19+6m=25

a)

$1$

b)

$2$

c)

$-1$

d)

$3$

14.

Solve for p:

11+\frac{p}{2}=5

a)

$8$

b)

$-12$

c)

$21$

d)

$-1$

15.

Solve for t:

-9t+3=21

a)

$2$

b)

$-2$

c)

$3$

d)

$-3$

16.

Solve for y:

-y+12=5

a)

$7$

b)

$-17$

c)

$17$

d)

$2$

17.

What is the constant of proportionality?

a)

$3

b)

$4

c)

$2

d)

$9

18.

What is the constant of proportionality?

a)

15

b)

5

c)

75

d)

25

19.

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

20.

What is the constant ratio or constant of proportionality (in miles per hour) based on the table?

a)

45

b)

90

c)

135

d)

2

21.

Which equation is represented in this tape diagram?

a)

x+5=35

b)

35x=5

c)

5x=35

d)

35-x=x

22.

What is the value of x in this tape diagram?

a)

7

b)

5

c)

35

d)

5x

23.

What equation is represented in this tape diagram?

a)

x+3=9

b)

9x=3

c)

3x=9

d)

9+3=x

24.

What is the value of x in this tape diagram?

a)

3x

b)

9

c)

3

d)

1/3

25.

Select all equations that are represented in this diagram.

a)

b)

c)

d)

e)

26.

What equation represents this hanger diagram?

a)

7 = 3w -1

b)

7 + 3w - 1

c)

7 = 3w + 1

d)

1 = 3w + 7

27.

What equation represents this hanger diagram?

a)

2z + 3 = 5

b)

2x + 3 = 5

c)

5 = 3 - 2w

d)

31y + 10 = 2

28.

What equation represents this hanger diagram?

a)

3w + 2 = 3

b)

3y + 2 = 3

c)

3x + 2 = 3

d)

3q + 2 = 3

29.

What equation represents this hanger diagram?

a)

6 = 2w + 3

b)

6 = 3 + 2e

c)

3 = 6 + 2t

d)

6 = 2y + 3

30.

What equation represents this hanger diagram?

a)

7 = 3e + 1

b)

7 = 3t + 1

c)

7 = 3x + 1

d)

7 = 3p + 1

31.

What equation represents this hanger diagram?

a)

2y + 10 = 31

b)

2w + 10 = 31

c)

2e + 10 = 31

d)

2m + 10 = 31

32.

What equation represents this hanger diagram?

a)

6.8 = 2q + 2.2

b)

6.8 = 2q - 2.2

c)

6.8 = 2z + 2.2

d)

6.8 = 2z - 2.2

33.

What equation represents this hanger diagram?

a)

4e - 3/2 = 17/2

b)

4y - 3/2 = 8.5

c)

4w + 1.5 = 8.5

d)

4y - 1.5 = 10.5

34.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

35.

Solve the inequality

6(n + 2) < -72

a)

n < -14

b)

n < 35/3

c)

n < -10

d)

∞

36.

Solve the inequality

x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

37.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

38.

Is x = 9 a solution to the given inequality?

x > 9

a)

Yes

b)

No

39.

Is x = 12 a given solution to the inequality.
x > 5

a)

TRUE

b)

FALSE

40.

Will my dot be colored in?
5 ≥ x

a)

Yes

b)

No

41.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

42.

Which inequality matches the graph?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

43.

Solve the inequality

36 < f + 32 + f

a)

f > 2

b)

f < 2

c)

f < 4

d)

f < 6

44.

Solve the inequality

4x - 2 ≤ -22

a)

x ≥ -5

b)

x ≥ -6

c)

x ≤ -6

d)

x ≤ -5

45.

Solve the inequality

7(b - 2) < 14

a)

b < 4

b)

2.3 > b

c)

b > 2

d)

b < 7

46.

Solve the inequality

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

47.

Solve the inequality

a)

x > 2

b)

x > 5

c)

x >15

d)

x > 50

48.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

49.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

50.

-2 (x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

51.

"At most" and "No more than" are both clue words for...

a)

<

b)

>

c)

≤

d)

≥

52.

What is the solution to the following inequality?

-2x +1 < -35

a)

x < 17

b)

x < 18

c)

x > 18

d)

x > 17

53.

What is the solution to the following inequality?

3x - 1 < 2x + 4

a)

x < 5

b)

x < -1

c)

x < 3

d)

x < 1

54.

When graphing b< 6 would you use an open or closed circle?

a)

Open

b)

closed

55.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

56.

Pick the correct letter for:

x - 14 < -8

a)

A

b)

B

c)

C

d)

D

57.

When graphing an inequality, you use a closed circle when you use which symbols?

a)

≤, ≥

b)

<, >

58.

What is the solution to the following inequality

8b-3>4\left(2b\ +\ 3\right)\

a)

0 > 15 No Solution

b)

0 > 15 Infinate Solutions

c)

b > 15

d)

b < 15

59.

Write the phrase as an expression.
twice a number x plus 8 is greater than 12

a)

2 + 8x < 12

b)

2x + 8 > 12

c)

2(x+8) ≠ 12

d)

8(2+x)

60.

3x − (2 + 6x) ≤ -32

a)

x ≥ 10

b)

x< -10

c)

x ≥ -10

d)

All real numbers

61.

s - 10 ≤ 1

a)

s ≤ 11

b)

s ≤ 9

c)

s ≥ 11

d)

s ≥ 9

62.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

63.

Which is the solution of
-6a ≥ -36

a)

a ≥ 6

b)

-6 ≥ a

c)

a ≤ 6

d)

6 ≤ a

64.

What inequality does the number line graph represent?

a)

x <= 4

b)

x>= -4

c)

x < -4

d)

x < 4

65.

What inequality does the number line graph represent?

a)

x >= 3

b)

x > 3

c)

x < -3

d)

x <= 3

66.

What inequality does the number line graph represent?

a)

2x +1 < -3

b)

x + 2 < 4

c)

-x + 3 > 1

d)

x + 4 >= 2

67.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

68.

What inequality does the number line graph represent?

a)

-x + 4 >= -1

b)

-2x + 3 > -7

c)

-x + 1 < -4

d)

2x + 3 >= 13

69.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

70.

What are two solutions to x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

71.

Would you use a closed or open circle to graph x < 3?

a)

Closed

b)

Open

72.

Would your graph go to the left or right when you graph x ≥ 4?

a)

Left

b)

Right

73.

True or false: you flip the sign every time you multiply or divide when you're solving an inequality.

a)

True

b)

False

74.

What is the solution to 3x - 7 < 2?

a)

x < 3

b)

x < 4

c)

x < 2

d)

x < 5

75.

-9p > 18

a)

p<2

b)

p<-2

c)

p>1/2

d)

p>-1/2

76.

3x < - 9

a)

x < 3

b)

x < -3

c)

x > 3

d)

x > -3

77.

w/4 > 8

a)

w > 2

b)

w< 2

c)

w>32

d)

w<32

78.

x + 4 < 4

a)

x < 0

b)

x >0

c)

x < 8

d)

x > 8

79.

w∕-2 ≥ 4

a)

w ≤ -2

b)

w ≥ -2

c)

w ≤ -8

d)

w ≥ -8

80.

Solve for t.

6t + 4 ≤ -2

a)

t ≤ -1

b)

t ≤ 1

c)

t=1

d)

1=t

81.

Solve for k.
2k - 9≤ -19

a)

k ≤ -5

b)

k ≤ 5

c)

k < -5

d)

k < 5

82.

3x - 2 ≥ 34

a)

x ≥ -12

b)

x ≤ -12

c)

x ≤ 12

d)

x ≥ 12

83.

Solve

a)

n < 6

b)

n > 6

c)

n < 14

d)

n > 14

84.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

85.

-13t > 26

a)

t > -2

b)

t > 2

c)

t < 2

d)

t < -2

86.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

87.

Which inequality symbol has a graph with an open (empty) circle?

a)

<

b)

≤

88.

Translate the following phrase: Jessica must be at least 48 inches to ride the roller coaster.

a)

j > 48

b)

j < 48

c)

j ≤ 48

d)

j ≥ 48

89.

Translate the following phrase: Tom can spend no more than 20 dollars on his mom's birthday present.

a)

t > 20

b)

t < 20

c)

t ≤ 20

d)

t ≥ 20

90.

Translate the following phrase: You and your friends ate more than 8 slices of pizza at the party.

a)

x > 8

b)

x < 8

c)

x ≤ 8

d)

x ≥ 8

91.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

92.

Translate the following phrase: You and your friends ate more than 8 slices of pizza at the party.

a)

x > 8

b)

x < 8

c)

x ≤ 8

d)

x ≥ 8

93.

You need to save a minimum of $1200 to purchase your new laptop. If you already have saved $400 and make 11 per hour, h, at your job, which inequality could be use to solve to determine how many hours you need to work to save enough money.

a)

11h + 1200 ≥ 400

b)

11h + 400 < 1200

c)

11h + 400 > 1200

d)

11h + 400 < 1200

94.

How can I tell if the graph of an inequality will have a solid line?

a)

It has just an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

95.

Which inequality symbol has a closed circle?

a)

<

b)

≤

96.

solve 5( 6 + 3r) + 7 ≥ 127

a)

r ≤ 6

b)

r ≥ 6

c)

r ≤ -6

d)

r ≥ -6

97.

Solve the inequality

y-2\ge7

Select the letter of its graph

a)

a

b)

b

c)

c

d)

d

e)

e

98.

Solve the inequality

10<z+8

Select the letter of its graph

a)

a

b)

b

c)

c

d)

d

e)

e

99.

Solve the inequality

6p<24

Select the letter of its graph

a)

f

b)

g

c)

h

d)

i

e)

j

100.

Solve the inequality

18\le6v

Select the letter of its graph

a)

f

b)

g

c)

h

d)

i

e)

j

101.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

102.

-8(6x + 3)

a)

48X+3

b)

-48X-3

c)

14x+3

d)

-48x-24

103.

-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

104.

-4(-4d - 5)

a)

-16d+20

b)

16+20

c)

16d+20

d)

16s-20

105.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

106.

8a + 6 + 1+ 8a - 3b + b

a)

16a + 4b + 7

b)

16a - 3b + 7

c)

16a - 2b + 7

d)

64a + -3b + 7

107.

Simplify the following expression:
-10x + 15 - 3x + 2

a)

7x + 17

b)

-7x+ 13

c)

-13x + 17

d)

-13x + 13

108.

5a + 2b - 7b + 4a

a)

7b - 3a

b)

9a - 5b

c)

4ab

d)

12a + 6b

109.

3(y + 5) - 2y

a)

5y + 5

b)

6y

c)

5y + 15

d)

y + 15

110.

Simplify the following expression:

-6x + 4(x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

111.

3(2x + 4) + 4(x - 5)

a)

10x + 32

b)

10x - 8

c)

9x - 8

d)

10x - 1

112.

Simplify the following expression:

-6x + 4(x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

113.

Which of the following is equivalent to 8(5f - 7) + 3f ?

a)

43f - 7

b)

-13f

c)

43f - 56

d)

40f -7 + 3f

114.

Simplify the expression: 7+3(1 - 2x)

a)

21 - 6x

b)

10 - 2x

c)

10 - 20x

d)

10 - 6x

115.

Simplify the following expression:
-7x +5 (1 - 8x)

a)

-33x + 5

b)

5 + 33x

c)

47x + 5

d)

5 - 47x

116.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

117.

Simplify the following expression:
x + 4 - 7(x - 5)

a)

-33x + 19

b)

-47x² + 21

c)

33x - 19

d)

-6x + 39

118.

Simplify:
3x - (x - 6) - 12

a)

2x - 6

b)

4x - 18

c)

2x + 6

d)

4x - 6

119.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

120.

4(x - 5)

a)

4x + - 20

b)

4x + 20

c)

-4x + 20

d)

-4x - 20

Unit 6 EOU Math 7 Review

Total questions: 120

Worksheet time: 7hrs 11mins

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