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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.
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