Free Printable equation/inequality review grade 6

1.

r - 14 ≥ 17

a)

r ≥ 3

b)

r ≥ -31

c)

r ≥ 31

d)

r ≥ -3

2.

24 ≤ h + 15

a)

h ≥ -9

b)

h ≥ 9

c)

h ≤ 9

d)

h ≤ 39

3.

8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

4.

a)

a≤1

b)

a≤25

c)

a>1

d)

a<25

5.

Solve the inequality.

30 + n ≥ 50

a)

n ≥ 50

b)

x ≥ 80

c)

n ≤ 30

d)

n ≥ 20

6.

-4 + y < 8

a)

y < 4

b)

y < -12

c)

y < -4

d)

y < 12

7.

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.

8.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

9.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

10.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

11.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

12.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

13.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

a)

s < 55

b)

s > 55

c)

s ≤ 55

d)

s ≥ 55

14.

24 ≤ h + 15

a)

h ≥ -9

b)

h ≥ 9

c)

h ≤ 9

d)

h ≤ 39

15.

A student must be at least 15 years old to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

16.

What does it mean when the arrow points to the right and the dot is solid?

a)

<

b)

<

c)

>

d)

>

17.

What does it mean when the arrow points to the left and the dot is open?

a)

<

b)

<

c)

>

d)

>

18.

What does it mean when the arrow points to the right and the the dot is open?

a)

<

b)

>

c)

<

d)

>

19.

x < 4

a)

x is greater than 4

b)

x is greater than or equal to 4

c)

x is less than 4

d)

x is less than or equal to 4

20.

x > 6

a)

x is greater than 6

b)

x is greater than or equal to 6

c)

x is less than 6

d)

x is less than or equal to 6

21.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

22.

Will my dot be colored in?
5 ≥ x

a)

Yes

b)

No

23.

a)

A

b)

B

c)

C

d)

D

24.

The room holds no more than 400 people. Which inequality represents the amount of people the room holds?

a)

P ≥ 400

b)

P ≤ 400

c)

P < 400

d)

P > 400

25.

Steve runs more than 40 miles per week. Which inequality represents the amount of miles he runs?

a)

M < 40

b)

M ≥ 40

c)

M ≤ 40

d)

M > 40

26.

Michael needs at least an 80% on his test. Which inequality represents the grade that Michael can get on his test?

a)

P ≥ 80

b)

P < 80

c)

P > 80

d)

P ≤ 80

27.

Ms. Newkirk only has $20 to spend. Which inequality represents the amount which Ms. Newkirk can spend?

a)

M > 20

b)

M ≤ 20

c)

M < 20

d)

M ≥ 20

28.

The elevator holds a maximum of 700 pounds. Which inequality represents the amount of pounds the elevator can hold?

a)

P < 700

b)

P ≤ 700

c)

P > 700

d)

P ≥ 700

29.

There must be no more than 10 people on the court. Which inequality describes the situation?

a)

x > 10

b)

x < 10

c)

x ⪯ 10

d)

x ⪰ 10

30.

She needs at least 25 cupcakes for the party. Which inequality describes the situation?

a)

x > 25

b)

x < 25

c)

x ⪯ 25

d)

x ⪰ 25

31.

The elevator holds a maximum of 700 pounds. Which inequality represents the amount of pounds the elevator can hold?

a)

P < 700

b)

P ≤ 700

c)

P > 700

d)

P ≥ 700

32.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

33.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

34.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

35.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

36.

Solve the equation below:

a)

k = 152

b)

k = 176

c)

k = 5

d)

k = 27

37.

144=12z

a)

z=20

b)

z=11

c)

z=12

38.

Solve the equation

6w = 24.

a)

w = 144

b)

w = 18

c)

w = 4

39.

x - 8 = 5

a)

13

b)

-13

c)

3

d)

-3

40.

Solve the equation:

5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

41.

a - 19 = 50

a)

a = 31

b)

a = 69

c)

a = -31

d)

a = -50/19

42.

What is the inverse operation of addition?

a)

addition

b)

subtraction

c)

multiplication

d)

division

43.

w + 6 = 11

a)

w = -5

b)

w = 17

c)

w = 5

d)

w = -5

44.

y + 7 = 15

a)

y = -8

b)

y = 22

c)

y = 8

d)

y = -22

45.

b + 1 = 18

a)

b = -19

b)

b = 19

c)

b = 17

d)

b = -17

46.

y - 3 = 12

a)

15

b)

9

c)

-9

d)

-15

47.

x - 10 = 60

a)

70

b)

50

c)

6

d)

-6

48.

What is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

49.

What is the inverse operation of multiplication?

a)

addition

b)

subtraction

c)

multiplication

d)

division

50.

x ÷ 13 = 8

a)

x = 91

b)

x = 104

c)

x = 21

d)

x = 5

51.

What would be the best first step to solving the equation?

3=x+5

a)

add 3 to both sides

b)

subtract 5 from both sides

c)

add 5 to both sides

d)

subtract -5 from both sides

52.

m - 14 = 76

a)

m = 90

b)

m = 52

c)

m = -62

d)

m = 80

53.

$\frac{1}{2}\div\frac{2}{3}$

a)

$\frac{1}{2}\times\frac{2}{3}$

b)

$\frac{2}{1}\times\frac{2}{3}$

c)

$\frac{1}{2}\times\frac{3}{2}$

d)

$\frac{2}{1}\times\frac{3}{2}$

54.

simplify

a)

$\frac{6}{40}$

b)

$\frac{3}{4}$

c)

3/5

d)

$\frac{12}{20}$

55.

Solve.

a)

$\frac{8}{9}$

b)

$\frac{1}{5}$

c)

1

d)

$\frac{4}{5}$

56.

$\frac{1}{8}$ $\div$ 3

a)

3

b)

$\frac{1}{24}$

c)

$\frac{3}{8}$

d)

$\frac{1}{8}$

57.

¹/₄ ÷ ¹/_{2 simplify}

a)

²/₆

b)

¹/₈

c)

¹/₂

d)

²/₄

58.

¹/₄ ÷ ²/₅

a)

⁵/₈

b)

2/20

c)

¹/₁₀

d)

³/₉

59.

simplify!!!

a)

6/40

b)

6/10

c)

3/5

d)

12/20

equation/inequality review grade 6

Total questions: 59

Worksheet time: 2hrs 10mins

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