# 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 _{5}125:

A. 3

B. -5

C. 5

D. 25

E. none of the above

21. Evaluate log _{2}1.

A. 1

B. 0

C. -1

D. 5

E. none of the above

22. Write 4^{x} = 3 in logarithmic form.

E. none of the above

23. Sketch the graphs of the following functions.

24. Solve log _{5}x = 2 for x

E. none of the above

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

E. none of the above

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

E. none of the above

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