Working with Integer Coefficients

Name: _______________________________
Date: _______________________________

Section A: Simplify these expressions by collecting like terms

1. 5x + 3x − 2x = _______________________________
2. 7y − 4y + 9y = _______________________________
3. −3a + 8a − 5a = _______________________________
4. 6m − 2n + 4m + 7n = _______________________________
5. −5p + 3q − 2p − 6q = _______________________________
6. 8x − 12 + 3x + 7 = _______________________________

Section B: Expand and simplify these expressions

7. 3(x + 4) = _______________________________
8. −2(y − 5) = _______________________________
9. 4(2a − 3) + 5 = _______________________________
10. −3(m + 2) + 4(m − 1) = _______________________________

Section C: Solve these equations

11. 2x + 5 = 13
x = _______________________________
12. −3y + 7 = −8
y = _______________________________
13. 5a − 12 = −27
a = _______________________________
14. 4x + 6 = 2x + 18
x = _______________________________
15. 7 − 2m = 3m + 22
m = _______________________________

Section D: Challenge

16. Solve: 3(x − 4) = 2(x + 5)
x = _______________________________
17. Solve: −2(y + 3) + 5y = 12
y = _______________________________