Practice Equations in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Worksheet PDF Free Answer-key PDF Family

Quick Recap

A mathematical statement that two expressions are equal, connected by an equals sign (==). Equations assert a relationship between quantities and can be solved to find the values of unknown variables that make the statement true.

A balanced scale: both sides must weigh the same. Solve by keeping balance.

Showing a random 20 of 50 problems.

Example 1

easy
Solve: x+5=12x + 5 = 12.

Example 2

hard
The sum of two consecutive integers is 7373. Find the smaller one.

Example 3

easy
Is x=−2x = -2 a solution of 4x+8=04x + 8 = 0?

Example 4

easy
Translate 'a number plus 77 equals 2020' into an equation.

Example 5

medium
What operation undoes adding 77?

Example 6

medium
Solve 2x+5=172x + 5 = 17.

Example 7

medium
Solve: 7=2x−37 = 2x - 3.

Example 8

hard
A taxi ride costs \$3 plus \$2 per mile. The total bill is \$17. How many miles?

Example 9

hard
Solve 2x+3=2x+72x + 3 = 2x + 7.

Example 10

hard
Solve x+23=5\frac{x + 2}{3} = 5.

Example 11

easy
Solve: 3x=213x = 21.

Example 12

medium
Write an equation: 'The sum of xx and 99 equals 1515.'

Example 13

medium
Solve: x+13=4\frac{x+1}{3} = 4.

Example 14

challenge
Solve: x+3=x−3\sqrt{x + 3} = x - 3.

Example 15

medium
Solve 0.5x+1=40.5x + 1 = 4.

Example 16

medium
Solve 2x3=8\frac{2x}{3} = 8.

Example 17

medium
Solve −2x+7=1-2x + 7 = 1.

Example 18

medium
A number tripled and decreased by 44 is 1717. Find it.

Example 19

easy
Solve x−7=2x - 7 = 2.

Example 20

easy
Is x=3x = 3 a solution of 2x+1=72x + 1 = 7?
← Back to Equations Worked Examples Formula Explained