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Grade 10 · Mathematics

Grade 10 Algebra worksheet

20 questions on algebra. The answer key is a separate download.

What is on the worksheet

  1. f(x) = 6x + (-20). Find f⁻¹(136).

  2. f(t) = 9t + (8); g(t) = 8t + (-4). Find f(g(4)).

  3. f(t) = 5t + (1); g(t) = 6t + (2). Find f(g(-4)).

  4. f(t) = 3t + (2); g(t) = 6t + (1). Find f(g(-3)).

  5. Solve for x: x + y = 45 and x − y = 23.

  6. f(x) = 13x + (21). Find f⁻¹(398).

  7. Solve for x: x + y = 22 and x − y = -8.

  8. Solve for x: x + y = 14 and x − y = 0.

  9. f(x) = 14x + (-17). Find f⁻¹(403).

  10. f(t) = 9t + (-8); g(t) = 3t + (8). Find f(g(-5)).

  11. f(x) = 4x + (10). Find f⁻¹(90).

  12. f(t) = 5t + (6); g(t) = 7t + (-7). Find f(g(-4)).

  13. f(x) = 5x + (-14). Find f⁻¹(106).

  14. Solve: 5x + 7 = 4x + 20.

  15. Solve: 12x + 4 = 2x + 44.

  16. f(t) = 7t + (-7); g(t) = 3t + (6). Find f(g(-1)).

  17. Solve for x: x + y = 52 and x − y = 24.

  18. Solve for x: x + y = 51 and x − y = 29.

  19. Solve for x: x + y = 24 and x − y = -6.

  20. f(t) = 9t + (10); g(t) = 4t + (5). Find f(g(0)).

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