Equivalent expressions: practice and worksheets
Rewrite algebraic expressions without changing their value by combining like terms, distributing, and factoring.
Concept overview
Equivalent expressions produce the same value for every allowed input. The distributive property and the rules for combining like terms are the main tools for proving equivalence.
Key points
- Combine only terms with the same variable part and exponent.
- Distribute a factor to every term inside parentheses, including negative signs.
- Factor by reversing distribution and identifying a greatest common factor.
Worked example
The expression 3(2x − 5) + x simplifies to 6x − 15 + x = 7x − 15, so both forms are equivalent.
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Questions by difficulty
Equivalent expressions worksheet practice
Use the printable worksheet for independent practice, then check the answer key and worked explanations.
Frequently asked questions
How should I practice Equivalent expressions?
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 154 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.