Combining Like Terms Answers

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📚 Part 1: Simplified Expressions

1. 3x + 5x = 8x

2. 7y - 2y = 5y

3. 4a + 3b + 2a = 6a + 3b

4. 6m - 4m + 8 = 2m + 8

5. 9x + 4 - 3x + 7 = 6x + 11

6. 5p + 3q + 2p - q

Like terms circled: 5p and 2p; 3q and -q

Simplified: 7p + 2q

7. 8x - 3y + 4x + 6y - 2

Like terms circled: 8x and 4x; -3y and 6y

Simplified: 12x + 3y - 2

8. 10a + 7 - 4a + 3 - 2a

Like terms circled: 10a, -4a, and -2a; 7 and 3

Simplified: 4a + 10

9. Maria bought 3 notebooks and 2 pens. Later she bought 4 more notebooks and 1 more pen. Write an expression for her total purchases and simplify.

Expression: 3n + 2p + 4n + 1p

Simplified: 7n + 3p

10. A rectangle has a length of (5x + 3) feet and a width of (2x + 7) feet. Write and simplify an expression for the perimeter.

Expression: 2(5x + 3) + 2(2x + 7) = 10x + 6 + 4x + 14

Simplified: 14x + 20 feet

11. Tom has $4x in his wallet and $3x in his savings account. He earns $15 and spends $2x. How much money does he have now?

Expression: 4x + 3x + 15 - 2x

Simplified: 5x + 15 dollars