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Math 151 Practice Quiz

1. Find the distance between the points (1, 2) and (0, 4).


E. none of the above

2. Find the coordinates of the x - intercept of the line 3x - y - 3 = 0.

A. (-1, 0)
B. (0, 1)
C. (-3, 0)
D. (1, 0)
E. none of the above

3. Find all solutions to the equation -3x + 5 = -25.


E. none of the above

4. Evaluate 5x^2 - 3 when x = -2.

A. -23
B. 2
C. 19
D. -2
E. none of the above

5. What is the slope of the line through the points (7, 3) and (-1, 2)?


E. none of the above

6. Find the slope of the line 3x - 4y + 2 = 0.


E. none of the above

7. Solve x ^2 - 7x = -12.

A. 3 and 4
B. -3 and -4
C. -3 and 4
D. 3 and -4
E. none of the above

8. Solve -10 ≤-2x≤4.

A. [-2,-5]
B. [-5, 2]
C. [-2, 5]
D. [-5,-2]
E. none of the above

9. Sketch the graphs of the following functions.

10. Solve |5x| = 10.

A. 2
B. -2
C. -2 and 2
D. no solution
E. none of the above

11. Find the domain of


 E. none of the above

12. Solve the following system of equations :


D. no solution
E. none of the above

13. What is the vertex of the parabola f(x) = -(x - 3)^2 + 1 and what is its maximum or minimum value?

A. vertex (3, 1) with minimum 1
B. vertex (3, 1) with maximum 1
C. vertex (-3, 1) with minimum 1
D. vertex (-3, 1) with maximum 1
E. none of the above

14. If f(x) = 3x - 2, find f(x - 1).

A. 6x - 4
B. 3x - 5
C. 3x + 1
D. 3x - 3
E. none of the above

15. What is f(x) = x^2 + 2x - 1 written in standard form?


E. none of the above

16. Find the inverse function of f(x) = 3x + 4.


E. none of the above

17. Let f(x) = x + 4 and g(x) = x^2. Find g(f(-1)).

A. 25
B. 3
C. 5
D. 9
E. none of the above

18. Find the y- intercept of f (x) = (x + 2)(x - 3)^2.

A. 6
B. -6
C. 18
D. -18
E. none of the above

19. Use long or synthetic division to find the remainder of

A. 3
B. 5
C. 9
D. 25
E. none of the above

20. Evaluate log 5125:

A. 3
B. -5
C. 5
D. 25
E. none of the above

21. Evaluate log 21.

A. 1
B. 0
C. -1
D. 5
E. none of the above

22. Write 4x = 3 in logarithmic form.


E. none of the above

23. Sketch the graphs of the following functions.

24. Solve log 5x = 2 for x


E. none of the above

25. What is the range of f(x) = 10x - 2?


E. none of the above

26. What is the domain of ln(x + 2)?


E. none of the above

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