Grade 11 Algebra worksheet

What is on the worksheet

1. f(t) = 6t + (3); g(t) = 7t + (-4). Find f(g(-5)).

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

3. Solve for x: x + y = 30 and x − y = 18.

4. f(t) = 2t + (3); g(t) = 5t + (-8). Find f(g(-2)).

5. f(x) = 11x + (-5). Find f⁻¹(314).

6. f(t) = 8t + (-6); g(t) = 7t + (-7). Find f(g(7)).

7. f(x) = 3x + (-9). Find f⁻¹(39).

8. f(x) = 5x + (-14). Find f⁻¹(106).

9. f(t) = 7t + (-8); g(t) = 5t + (3). Find f(g(-5)).

10. f(x) = 6x + (17). Find f⁻¹(185).

11. f(x) = 14x + (7). Find f⁻¹(-161).

12. Solve for x: x + y = 21 and x − y = -7.

13. Solve for x: x + y = 28 and x − y = 26.

14. Solve for x: x + y = 27 and x − y = 17.

15. An inverse function over a specified domain requires the original function to be

    1. always a straight line
    2. always positive
    3. defined at every real number
    4. one-to-one on that domain

16. Solve for x: x + y = 5 and x − y = -1.

17. f(t) = 6t + (2); g(t) = 4t + (-4). Find f(g(8)).

18. Solve for x: x + y = 15 and x − y = 7.

19. Solve for x: x + y = 24 and x − y = 16.

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