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Combining Like Terms

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Combining Like Terms

Combine terms with the same variable part. Keep unlike terms separate, and show your simplified expression.

Simplify Each Expression

Combine the like terms.

1.Simplify: 6r + 9r
2.Simplify: 12k - 5k
3.Simplify: 7a + 4b + 2a
4.Simplify: 11m - 6m + 9
5.Simplify: 8t + 5 - 3t + 6

Identify and Combine Like Terms

In each expression, group the like terms mentally or mark them, then write the simplified result.

6.Simplify: 6u + 4v + 3u - 2v
7.Simplify: 9c - 2d + 5c + 7d - 4
8.Simplify: 13x + 8 - 6x + 2 - 4x
9.Which pair contains like terms? Choose one answer.
  • 4p and 4q
  • 7x and -2x
  • 3a and 3
  • 5m and 5n

Expressions in Context

Write an expression from the situation and simplify it.

10.During a space mission, Zoe logs 4 hours of equipment checks on Monday and 6 hours on Tuesday. She also spends 3 hours testing communications each day. Let e represent an equipment-check hour and c represent a communications-testing hour. Write and simplify an expression for the total logged hours.
11.A rectangular panel on a spacecraft has a length of (4w + 5) inches and a width of (3w + 2) inches. Write and simplify an expression for its perimeter.
12.Carlos has 5x dollars in a mission account and 2x dollars in a travel fund. He receives $18, then uses 3x dollars to buy supplies. Write and simplify an expression for the amount left.

2 printable pages

  • Combining Like Terms, page 1 of 2: Simplify Each Expression, Identify and Combine Like Terms

    Page 1

  • Combining Like Terms, page 2 of 2: Expressions in Context

    Page 2

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