Free Printable Solving Equations

1.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

2.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

3.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

4.

Solve for b:
.5b + 4 = 20

a)

8

b)

48

c)

24

d)

32

5.

Solve for n:
n+2=-14-n

a)

6

b)

8

c)

-8

6.

Which equation has x = 2 as a solution?

a)

3 + x = 10

b)

11 + x = 13

c)

4x = 32

d)

5x =25

7.

Solve for x:

2x - 3 + 4x = 27

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

8.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

9.

10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

10.

Solve.

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

11.

4=2r-10

a)

7

b)

15

c)

14

d)

9

12.

The model represents the equation 2x + 1 = 7. What is the first step in solving this equation?

a)

Divide by 2.

b)

Add 1 positive to each side.

c)

Multiply by 2.

d)

Add 1 negative to each side.

13.

The model represents the equation 2x + 4 = 10. What is the value of x?

a)

x = 3

b)

x = 2

c)

x = 6

d)

x = 10

14.

Which of the following models shows 3m + 2 = 14?

a)

b)

c)

d)

15.

The model represents the equation 2w + 5 = 9. What is the last step in finding the value of w?

a)

Subtract 9 counters from each side.

b)

Divide 5 counters into 2 equal groups.

c)

Divide 4 counters into 2 equal groups.

d)

Divide 4 counters into 4 equal groups.

16.

Examine the model. What is the value of x in the equation this model represents?

a)

4

b)

6

c)

8

d)

10

17.

The model represents the equation 2c + 1 = 11. What is the first step in finding c?

a)

subtract 1 counter from each side

b)

add 1 counter to each side

c)

subtract 2 counters from each side

d)

add 2 counters to each side

18.

In the equation below, what is the most efficient first step?

8+\frac{p}{14\ }=7

a)

add 8 to both sides

b)

add 7 to both sides

c)

subtract 8 from both sides

d)

divide both sides by 14

e)

multiply both sides by 14

19.

Solve the equation for r.

4r-2=2r+14

(a)

20.

Solve the equation for x.

8-5x=-x-8

(a)

21.

Solve the equation for r.

6r-7=-1+5r

(a)

22.

Solve the equation for v.

8v+8=32

(a)

23.

In the equation below, what is the most efficient first step?

1+\frac{a}{2}=-3

a)

add 1 to both sides

b)

subtract 2 from both sides

c)

add 3 to both sides

d)

subtract 1 from both sides

24.

Solve the equation for b.

-7=\frac{b}{9}-8

(a)

25.

Solve for k.

8k-7-6k=23

(a)

26.

Solve for x: -5 = 4x + 3

a)

y = 2

b)

y = -2

c)

y = -0.5

d)

y = 0.5

27.

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

a)

subtract 10, and then divide by 7

b)

divide by 7, and then subtract 10

c)

multiply by 7, and then subtract 10

d)

add 10, and then multiply by 7

28.

Each month Kaden's phone charges a flat fee of $12 plus $0.05 per minute. His bill for last month was $18. How many minutes did Luca talk on the phone last month?

a)

350

b)

600

c)

100

d)

120

29.

Sophie has $14 and plans to save $5 each week until she has $64 she needs for a new jacket. What is the equation to solve for Sophie to know how many weeks she will need to save?

a)

64 = 14x + 5

b)

5x + 64 = 14

c)

5x + 14 = 64

d)

5x - 14 = 64

30.

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

31.

Solve:
3x + 7 = -8

a)

5

b)

-5

c)

-12

d)

-18

32.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

33.

What is the first step in solving this equation:
5x + 7 = 12

a)

Divide by 5

b)

Subtract 5

c)

Multiply by 7

d)

Subtract 7

34.

a)

7

b)

-16

c)

4

d)

-15

35.

Solve for k:

a)

k = 32

b)

k = 12

c)

k = 44

d)

k = 8

36.

Solve for x:

9=\frac{3}{2}x

a)

$x=3$

b)

$x=-6$

c)

$x=4$

d)

$x=6$

37.

Solve for w:

\frac{2w}{5}-9=11

a)

$w=50$

b)

$w=10$

c)

$w=32$

d)

$w=23$

38.

Solve for x:

-20=\frac{x-3}{6}

a)

$x=-123$

b)

$x=-117$

c)

$x=-\frac{1}{3}$

d)

$x=-29$

39.

Solve for y:

\frac{4}{3}y\ +1=-14

a)

$y=-21$

b)

$-11.25$

c)

$y=-16$

d)

$y=4$

40.

Solve for w:

\frac{2w+6}{5}=8

a)

$w=17$

b)

$w=40$

c)

$w=\frac{7}{2}$

d)

$w=-\frac{3}{2}$

41.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

42.

3) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

a)

$\angle3$ and $\angle8$

b)

$\angle7$ and $\angle2$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

43.

4) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

a)

$\angle4$ and $\angle8$

b)

$\angle7$ and $\angle5$

c)

$\angle1$ and $\angle2$

d)

$\angle6$ and $\angle5$

44.

10)Given the two parallel lines cute by a transversal,

What is the measure of $\angle5$ ?

(a)

45.

11) Given the two parallel lines cut by a transversal,

What is the measure of $\angle4$ if $m\angle8=76\degree$ ?

(a)

46.

What is the measure of the missing angle?

a)

39°

b)

129°

c)

119°

d)

129°

47.

a)

15

b)

16

c)

18

d)

19

48.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

49.

Angles 4 and 6 are...

a)

supplementary

b)

congruent

50.

Solve for m:
3m - 4 = 5m + 10

a)

m = 3

b)

m = 9

c)

m = -7

d)

m = 7

Solving Equations

Total questions: 50

Worksheet time: 2hrs 35mins

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