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Like Terms Review

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Like Terms Review

Solve each station to unlock the final code. Like terms have the same variable part, including the same exponents. Combine their coefficients; constants combine with constants.

Station 1: Sort the Terms

For each expression, list the groups of like terms. Include the constant group if one appears.

1.A game score is written as 6x + 3y − 2x + 5 − y. Which terms belong together?
2.Select every pair that contains like terms: (A) 4m and −9m; (B) 2a and 2a²; (C) −7 and 12; (D) 3pq and −5pq.
  • A only
  • A and C
  • A, C, and D
  • A, B, C, and D
3.A student says 5r and 5s are like terms because both have coefficient 5. Is the student correct? Explain what determines whether terms are like.

Station 2: Simplify the Supply List

A robotics club tracks parts with variables. Combine like terms to make each record easier to read.

4.Simplify the wire-length record: 8p − 3q + 5p + 7q.
5.Simplify the parts count: 4x + 9 − 6 + 3x − 2x.
6.A kit’s cost expression is 7a + 2b − 4a + 5 − 3b + 8. Simplify it, showing how you group like terms.

Station 3: Check the Lock

Use equivalent expressions to test the lock. Equivalent expressions have the same value for every allowed variable value.

7.Which expression is equivalent to 9m − 4n − 2m + 6n?
  • 7m + 2n
  • 11m − 10n
  • 7m − 2n
  • 9m + 2n
8.True or false: 3u + 5v − u is equivalent to 2u + 5v. Give one sentence explaining your choice.
9.Simplify the final lock code: 12x + 4y − 8 + 3 − 5x − 7y.
10.Write an expression with at least six terms that simplifies to 4a − 2b + 3. Then show the grouping that verifies your answer.
11.Find the error: Mateo simplifies 5x + 2 + 3x − 7 as 8x + 9. State the corrected simplification and explain the mistake.

2 printable pages

  • Like Terms Review, page 1 of 2: Station 1: Sort the Terms, Station 2: Simplify the Supply List

    Page 1

  • Like Terms Review, page 2 of 2: Station 3: Check the Lock

    Page 2

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