Linear equations in one variable: practice and worksheets
Solve one-variable linear equations by preserving equality while isolating the unknown.
Concept overview
A linear equation in one variable can have one solution, no solution, or infinitely many solutions. Simplify both sides first, then use inverse operations to isolate the variable.
Key points
- Perform the same operation on both sides of the equation.
- Clear fractions or decimals when that makes the equation easier to read.
- Check the result by substituting it into the original equation.
Worked example
For 4x − 7 = 21, add 7 to both sides and divide by 4: 4x = 28, so x = 7.
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Questions by difficulty
Linear equations in one variable worksheet practice
Use the printable worksheet for independent practice, then check the answer key and worked explanations.
Frequently asked questions
How should I practice Linear equations in one variable?
Start with foundation questions, check each answer, and move up a level after several correct answers in a row.
How many practice questions are available?
IQClub currently has 226 published questions for this skill.
Can I use this for test preparation?
Yes. The practice reinforces school mathematics and the same reasoning used in high-school tests and entrance exams.