﻿ One Step Equations Worksheets | Problems & Solutions

# One Step Equations Worksheets

One Step Equations Worksheets
• Page 1
1.
Solve: 4.5$x$ = 9
 a. $\frac{1}{2}$ b. 2 c. $\frac{1}{5}$ d. 5

#### Solution:

4.5x = 9
[Original equation.]

4.5x4.5 = 94.5
[Divide each side by 4.5.]

x = 2
[Simplify.]

2.
Solve: 75 $v$ = 15
 a. $\frac{1}{5}$ b. 75 c. 5 d. 15

#### Solution:

75 v = 15
[Original equation.]

75v / 75 = 15 / 75
[Divide each side by 75.]

v = 1 / 5
[Simplify.]

3.
Solve: $1\frac{1}{2}$ $x$ = 6
 a. 4 b. 12 c. - 9 d. 9

#### Solution:

11 / 2 x = 6
[Original equation.]

3232 x = 632
[Divide each side by 3 / 2.]

2 / 3 × 3 / 2 x = 2 / 3 × 6

x = 4
[Simplify.]

4.
Solve: - 8 $x$ = 4.4
 a. - 0.55 b. 5.5 c. -5 d. 0.55

#### Solution:

- 8 x = 4.4
[Original equation.]

- 8x8 = - 4.4 / 8
[Divide each side by 8.]

x = - 0.55
[Simplify.]

5.
Solve: = - 7
 a. $\frac{7}{3.5}$ b. $\frac{7}{-3.5}$ c. 24.5 d. 2.45

#### Solution:

y- 3.5 = - 7
[Original equation.]

- 3.5 × y- 3.5 = - 3.5 × - 7
[Multiply each side by - 3.5.]

y = 24.5
[Simplify.]

6.
Solve the equation $\frac{x}{3}$ = $4\frac{2}{3}$ to find the value of the variable $x$.
 a. $4\frac{2}{3}$ b. 14 c. $\frac{14}{9}$ d. 2

#### Solution:

x / 3 = 42 / 3
[Original equation.]

x / 3 = 14 / 3
[Simplify 42 / 3.]

(3) × x / 3 = (3) × 14 / 3
[Multiply each side by 3.]

x = 14
[Simplify.]

The value of the variable x in the equation is 14.

7.
Solve the equation $\frac{m}{9}$ = $\frac{5}{63}$ .
 a. $\frac{5}{567}$ b. $\frac{45}{7}$ c. $\frac{5}{7}$ d. $\frac{7}{5}$

#### Solution:

m9 = 563
[Original equation.]

(9) × m9 = 563 × 9
[Multiply each side by 9.]

m = 57
[Simplify.]

8.
Solve: - $\frac{a}{4}$ = 2
 a. 6 b. - 8 c. 7 d. - 11

#### Solution:

- a4 = 2
[Original equation.]

(-4) × - a4 = (- 4) × (2)
[Multiply each side by - 4.]

a = - 8
[Simplify.]

9.
Solve: = - 7
 a. 30 b. - 30 c. - 28 d. 28

#### Solution:

z-4 = - 7
[Original equation.]

z- 4 × - 4 = - 7 × - 4
[Multiply each side by - 4.]

z = 28
[Simplify.]

10.
500 gallons of water is needed to wet one-fourth area of a park. How many gallons of water is required to water the entire park?
 a. 2000 b. 1900 c. 2100 d. 1800

#### Solution:

Let w be the gallons of water required to wet the entire park.

w/4 = 500
[Write an equation.]

(w/4) x 4 = 500 x 4
[Multiply each side by 4.]

w = 2000
[Simplify.]

2000 gallons of water is required to wet the entire park.