Grade 8 Algebra worksheet

What is on the worksheet

1. Find the coefficient of x after simplifying 27x + 23x.

2. Solve for x: 5x = 265

3. Solve for x: 14x + 12 = 642

4. What comes next? 9, 11, 13, 15, …

5. Evaluate 13x + 10 when x = 15.

6. Solve for x: 11x = 22

7. Solve for x: 18x = -756

8. f(x) = 5x + (2). Find f⁻¹(147).

9. Solve for x: 13x + 75 = 387

10. y = kx. When x = 15, y = 105. Find y when x = 60.

11. Solve: 11x + 13 = 4x + 125.

12. Evaluate 4x + 2 when x = 6.

13. Split 459 in the ratio 8:9. What is the first share?

14. Which substitution proves that x = 3 solves 2x + 1 = 7?

    1. 2 × 7 + 1 = 3
    2. 3 + 1 = 7
    3. 2 × 3 + 1 = 7
    4. 2 + 3 + 1 = 7

15. Split 221 in the ratio 8:5. What is the first share?

16. Split 406 in the ratio 6:8. What is the first share?

17. Solve: 15x + 10 = 3x + 226.

18. What comes next? 61, 73, 85, 97, …

19. y = kx. When x = 11, y = 143. Find y when x = 87.

20. Solve for x: 6x + 45 = 177