Combining Like Terms Practice Test

Combine coefficients accurately across integers, fractions, decimals, powers, and distributed expressions.

Combining Like Terms Practice Test

20 varied questions on identifying and combining like terms.

About This Combining Like Terms Practice Test

This test builds a precise understanding of like terms: terms may be combined only when their variable parts, including exponents, are identical. Questions progress from simple single-variable terms to multivariable monomials, polynomial subtraction, fractional and decimal coefficients, and expressions that require distribution first.

Several questions also test error analysis and application. Students must recognize why unlike terms cannot be merged and how combining terms simplifies perimeter or evaluation models.

Like-Term Skills Covered

You will combine positive and negative coefficients, constants, x² and x terms, multivariable terms, fractional and decimal coefficients, distributed expressions, subtracted polynomials, missing coefficients, and short geometric expressions.

How to Approach the Questions

  1. Compare the variable part of every term, including each exponent.
  2. Group matching terms without changing their signs.
  3. Add or subtract only the numerical coefficients.
  4. Leave unlike terms separate and write the result in a clear standard order.

Common Mistakes to Avoid

Common errors include adding exponents, multiplying coefficients during addition, combining x with x², combining x with y, losing a negative sign when removing parentheses, and dropping constants or unlike terms that cannot be combined.

Practice Format

Use this test for pre-algebra, Algebra 1, classroom review, intervention practice, or independent study. Explanations appear immediately after each answer.