Free Printable Solving Equations and Inequalities

1.

Which number line represent the solution to the inequality −7x −13 ≥ 8?

a)

Line A

b)

Line B

c)

Line C

d)

Line D

2.

The solution to the inequality 5x − 4 > 21 is represented by which number line?

a)

b)

c)

d)

3.

What is the value of x in this equation?

2x + 2 = −52

a)

−25

b)

−27

4.

4x + 2(x - 6) = 12

a)

x = 6

b)

x = 4

c)

x = 2

d)

x = -2

5.

solve 5(6 + 3r) + 7 ≥ 127

a)

r ≤ 6

b)

r ≥ 6

c)

r ≤ -6

d)

r ≥ -6

6.

Solve:

2(2x + 3) = -6(x + 9)

a)

x = 1.2

b)

x = 6

c)

x = -6

d)

x = 7.5

7.

Solve:
3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

d)

x = 0

8.

Solve the following inequality:
-4x + 14 ≤ 54

a)

x ≥ -10

b)

x ≤ -10

c)

x ≥ 17

d)

x ≤ 17

9.

7x + 6 +2x = 60

a)

x = 6

b)

x = 8

c)

x = 9.5

d)

x = 13

10.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

11.

Match:
You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

12.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

13.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

14.

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10 - 4 = v

d)

Answer not Given

15.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

16.

Solve

a)

x < 53

b)

x > 47

c)

x = -47

d)

x ≤ 53

17.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

18.

12+5w-4w=15

a)

w=1

b)

w=3

c)

w=5

d)

w=4

19.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

20.

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

a)

≤, ≥

b)

<, >

21.

What inequality does the number line graph represent.

a)

x < 2

b)

x > 2

c)

x ≥ 2

d)

x ≤ 2

22.

2x+6>12

a)

x>9

b)

x>3

c)

x<9

d)

x<3

23.

4x-7≥21

a)

x≥7

b)

x≥-8

c)

x≤8

d)

x≤7

24.

Solve:
8m - 9 > 71

a)

m > 10

b)

m > 1

c)

m < 1

d)

m > -48

25.

Solve the equation:
3(x - 1) = 2x + 9

a)

x = 12

b)

no solution

c)

x = 10

d)

x = 6

26.

Write an equation to represent this word problem.

a)

40 - 2f = 8

b)

40 + 2f = 8

c)

8 - 2f = 40

d)

40 = 2f - 8

27.

8w - 8 = -4x + 16

a)

8

b)

16

c)

24

d)

2

28.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

29.

Label the inequality symbol: <

a)

Less Than

b)

Greater Than

c)

Less Than or Equal To

d)

Greater Than or Equal to

30.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

31.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

32.

Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

33.

Solve:
$3x+15=3\left(x+5\right)$

a)

No Solution

b)

x = 15

c)

All Real Numbers

d)

x = 0

34.

Solve for x: $\frac{x}{5}=2$

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

35.

Write an equation for
17 less than H equals 42

a)

17-H=42

b)

H-17=42

c)

H+17=42

d)

17+H=42

36.

$3+\frac{1}{4}a=31$

a)

a = 28

b)

a = 112

c)

a = 7

d)

a = 67

37.

$\frac{x}{3}+3=-2$

a)

x = 15

b)

x = 3

c)

x = -15

d)

x = -3

38.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

24+7x=10

c)

10+7x=24

d)

10+x=14

39.

Solve:
$\frac{1}{2}\left(2x+6\right)=3x+13$

a)

No Solution

b)

x = 8

c)

x = -5

d)

x = 7

40.

26 < f + 32

a)

f > -6

b)

f < -6

c)

f < 6

d)

f < 55

41.

Solve:
2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

42.

Determine the solution for the inequality:

a)

x < 61

b)

x < -15

c)

x > 15

d)

x < 15

43.

Which number line represents the solution set for the inequality below?

a)

b)

c)

d)

44.

Solve for y:
2y + 7 = 11

a)

y = 2

b)

y = 1

c)

y = 9

d)

y = 4

45.

Solve for x:
x + 8 = -3

a)

x = -5

b)

x = 5

c)

x = -11

d)

x = 11

46.

Solve for b:
3(b - 4) = -3

a)

b = 3

b)

b = -3

c)

b = 5

d)

b = -5

47.

Solve for k:
6k = 30

a)

k = 36

b)

k = 24

c)

k = 180

d)

k = 5

48.

Solve for h:
h/4 + 9 = 11

a)

h = 8

b)

h = 2

c)

h = 0.5

d)

h = -8

49.

Solve:
-4x = 24

a)

20

b)

-20

c)

6

d)

-6

50.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

51.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

52.

0 = 8z + 8

a)

-1

b)

1

c)

0

d)

8

53.

Solve.
(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

54.

Solve the equation:
^x/₃+ 10 = 15

a)

75

b)

15

c)

25

d)

5

55.

a)

15

b)

3

c)

-15

d)

-3

56.

6x-7=12

a)

5/6

b)

19/6

c)

2

d)

6/19

57.

3 = 5x - 12

a)

2 = x

b)

4 = x

c)

3 = x

d)

-1 = x

58.

y/3 + 6 = 9

a)

15

b)

9

c)

3

d)

12

59.

What is the first step in solving this equation 8x - 6 = 10

a)

Add 6

b)

Subtract 8

c)

Divide by 8

d)

Subtract 6

60.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

61.

a)

2

b)

4

c)

6

d)

8

Solving Equations and Inequalities

Total questions: 61

Worksheet time: 4hrs 44mins

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