One-Step Equations Practice Problems with Answers

Solve each one-step equation by hand using a pencil or pen and paper. Click the “Answer” button to reveal the correct answer.

There are eight (8) one-step equations practice problems in this exercise. I hope you have fun learning algebra!

Note: I have a lesson that illustrates how to solve one-step equations. Please feel free to review it first before diving into the practice problems. Click the link below to get there!

link to one-step equations lesson

How to Solve One-Step Equations


Practice Problems

1) Solve for [latex]x[/latex].

[latex]x – 23 = 8[/latex]

Answer

Add both sides of the equation by [latex]23[/latex].

x=31

2) Solve for [latex]n[/latex].

[latex]n + 2 = 9[/latex]

Answer

Subtract both sides of the equation by [latex]2[/latex].

n=7

3) Solve for [latex]k[/latex].

[latex]9k = – 27[/latex]

Answer

Divide both sides by [latex]9[/latex].

k=-3

4) Solve for [latex]a[/latex].

[latex]{\Large{a \over 2}} = 6[/latex]

Answer

Multiply both sides by [latex]2[/latex].

a=12

5) Solve for [latex]y[/latex].

[latex]y + {\large{1 \over 4}} = {\large{1 \over 2}}[/latex]

Answer

Subtract both sides by [latex]\large{1 \over 4}[/latex].

y=1/4

6) Solve for [latex]m[/latex].

[latex]0.25\,m = 2[/latex]

Answer

Divide both sides of the equation by [latex]0.25[/latex].

m=8

7) Solve for [latex]d[/latex].

[latex]{\Large{2 \over 3}}d = 10[/latex]

Answer

Multiply both sides of the equation by the reciprocal of the coefficient. The coefficient is [latex]\large{{2 \over 3}}[/latex], therefore the reciprocal is [latex]\large{{3 \over 2}}[/latex].

d=15

8) Solve for [latex]r[/latex].

[latex]{\Large{r \over {0.5}}} = 30[/latex]

Answer

Multiply both sides by the decimal number [latex]0.5[/latex].

r=15