# Grade 9 Algebra Practice Test — Answer Key
## Part A: Simplifying Expressions
1. 8x − 3x + 12 = 5x + 12
2. 5(2y − 3) = 10y − 15
3. −4(3x + 5) = −12x − 20
4. 14x + 21 = 7(2x + 3)
## Part B: Solving Equations
5. 4x + 9 = 29 → x = 5
6. 7(x − 2) = 28 → x = 6
7. 3x − 5 = 2x + 11 → x = 16
8. 6 − 2x = 4x + 12 → x = −1
## Part C: Linear Relations
9. Slope = −3, y-intercept = 7
10. Equation: y = 4x − 2
## Part D: Word Problems
11. C = 2h + 5
12. M = 12h + 30
## Part E: Bonus
13. System solution: x = 14/3, y = 11/3
## Part A: Simplifying Expressions
1. 8x − 3x + 12 = 5x + 12
2. 5(2y − 3) = 10y − 15
3. −4(3x + 5) = −12x − 20
4. 14x + 21 = 7(2x + 3)
## Part B: Solving Equations
5. 4x + 9 = 29 → x = 5
6. 7(x − 2) = 28 → x = 6
7. 3x − 5 = 2x + 11 → x = 16
8. 6 − 2x = 4x + 12 → x = −1
## Part C: Linear Relations
9. Slope = −3, y-intercept = 7
10. Equation: y = 4x − 2
## Part D: Word Problems
11. C = 2h + 5
12. M = 12h + 30
## Part E: Bonus
13. System solution: x = 14/3, y = 11/3
