Practice Solution Concept 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 specific value (or set of values) that makes an equation or inequality true when substituted in for the variable.

The answer to 'what value of xx makes this equation true?' — found by solving, confirmed by checking.

Showing a random 20 of 50 problems.

Example 1

medium
Solve 3x+4=2x−53x+4=2x-5.

Example 2

medium
Is x=−1x=-1 a solution of x2+3x+2=0x^2+3x+2=0?

Example 3

easy
Solve x4=3\frac{x}{4}=3.

Example 4

medium
Solve x2−5x+6=0x^2-5x+6=0 by factoring.

Example 5

medium
Solve ∣x−2∣=7|x-2|=7.

Example 6

easy
Is x=3x = 3 a solution of x2−9=0x^2 - 9 = 0?

Example 7

easy
Is x=0x=0 a solution of 5x=05x=0?

Example 8

medium
Solve 2(x+3)=x+112(x+3)=x+11.

Example 9

challenge
Find all solutions of ∣x−2∣=5|x-2|=5 and verify each.

Example 10

medium
Solve 5x−2=3x+85x-2=3x+8.

Example 11

easy
Solve 2x=82x=8 and check.

Example 12

medium
Is x=8x=8 a solution of 3(x−1)=2x+53(x-1)=2x+5?

Example 13

easy
Which of x=−2,x=0,x=2x=-2, x=0, x=2 are solutions of x2=4x^2=4?

Example 14

easy
Solve x+7=7x+7=7.

Example 15

medium
Does the equation x+1=x+2x + 1 = x + 2 have any solutions?

Example 16

easy
Which values are solutions of x2=16x^2 = 16: x=4x = 4, x=−4x = -4, x=8x = 8?

Example 17

challenge
For the equation x2−6x+9=0x^2-6x+9=0, find the solution and explain why it counts as one value.

Example 18

easy
Is x=4x=4 a solution of x+3=7x+3=7?

Example 19

hard
Solve ∣2x−1∣=5|2x-1|=5.

Example 20

easy
Does x=3x=3 satisfy 2x−5>02x-5>0?
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