Free Printable Solving Linear Equations and Inverses

1.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

2.

Solve the equation below:

a)

k = 152

b)

k = 176

c)

k = 5

d)

k = 27

3.

What is the inverse operation needed to solve for p?
765 = p - 254

a)

subtraction

b)

addition

c)

multiplication

d)

division

4.

Solve the equation:
x - 5.5 = 10.5

a)

x = 16

b)

x = -15

c)

x = 5

d)

x = -5

5.

17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

6.

x ÷ 2 = 12

a)

x = 24

b)

x = 6

c)

x = 20

d)

x = 10

7.

What is the inverse operation of division?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

8.

x ÷ 13 = 8

a)

x = 91

b)

x = 104

c)

x = 21

d)

x = 5

9.

Solve the equation: 6 + z = 10

a)

2

b)

8

c)

14

d)

4

10.

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.

11.

What is the correct step to solve for the variable?
15 = m - 5

a)

add 15 to both sides

b)

add 5 to both sides

c)

subtract 15 from both sides

d)

subtract 5 from both sides

12.

We solve equations using

a)

fractions

b)

the distributive property

c)

inverse operations

d)

factors

13.

What is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

14.

What is the inverse of multiplication?

a)

Addition

b)

Subtraction

c)

Division

d)

Multiplication

15.

a)

14

b)

-33

c)

-14

d)

33

16.

a)

10

b)

-10

c)

21

d)

-21

17.

$\frac{n}{5}=-5$

a)

-1

b)

-5

c)

-25

d)

35

18.

$8=\frac{y}{3}$

a)

3

b)

12

c)

8

d)

24

19.

$\frac{1}{2}x=7$

a)

3.5

b)

14

c)

7

d)

6.5

20.

$\frac{3}{4}a=6$

a)

8

b)

12

c)

24

d)

18

21.

a)

b)

c)

22.

$Solve:\frac{1}{5}b\ =\ 5$

a)

-25

b)

1

c)

25

d)

-1

23.

Solve each equation:
3= $\frac{c}{-11}$

a)

33

b)

14

c)

-33

d)

-14

24.

What is the reciprocal of $\frac{7}{8}$ ?

a)

1

b)

$\frac{14}{16}$

c)

$\frac{8}{7}$

d)

$\frac{7}{8}$

25.

What is the reciprocal of $2\ \frac{1}{4}$ ?

a)

$\frac{9}{4}$

b)

$\frac{4}{9}$

c)

$2\ \frac{4}{1}$

d)

$4\ \frac{1}{2}$

26.

$\frac{22}{5}$ is the reciprocal of ____________?

a)

1

b)

$4\ \frac{2}{5}$

c)

It has no reciprocal

d)

$\frac{5}{22}$

27.

What is the reciprocal of 2?

a)

1

b)

$\frac{1}{2}$

c)

$\frac{2}{1}$

d)

$\frac{2}{2}$

28.

Find the reciprocal of 11

a)

$\frac{11}{1}$

b)

$\frac{11}{11}$

c)

1 $\frac{1}{11}$

d)

$\frac{1}{11}$

29.

What is the reciprocal of 7?

a)

14

b)

1/2

c)

1/7

d)

21

30.

How do you find the reciprocal of a number?

a)

You multiply the top number times the bottom number.

b)

You flip the numerator and the denominator so the top number is on bottom and the bottom number is on top.

c)

You put a 1 divided by that number

d)

You multiply that number times 2

Solving Linear Equations and Inverses

Total questions: 30

Worksheet time: 4hrs 47mins

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