# College Algebra Questions With Answers Sample 2

A set of college algebra multiple choice questions, with answers, are presented. The answers are at the bottom of the page.
1. How many x intercepts does the graph of the function f(x) = x 3 + 4 have?

 A. 0 B. 1 C. 2 D. 3

2. If Logb(5) = c, then b 4c =

 A. 4 B. 5 C. 25 D. 625

3. How many points of intersection do the graphs of the functions f(x) = x 2 and g(x) = 2 x have?

 A. 1 B. 2 C. 3 D. 4

4. The range of the function f(x) = -x 2 + 2x - 5 is given by

 A. (0 , infity) B. (-infinity , 4] C. (-infinity , -4] D. (-infinity , -5]

5. Which of these functions does not have an inverse?

 A. f(x) = |x - 5| B. h(x) = 2x - 9 C. k(x) = ln(- x + 4) D. j(x) = x 1/3

6. The solution set of the inequality (x + 5) 4(x + 3) ≥ 0 is given by interval

 A. [-3 , infinity) B. {-5} U [-3 , infinity) C. (-infinity , infinity) D. (-3 , infinity)

7. The range of the function h(x) = -|x - 5| - 2 is give by

 A. (-infinity , 0) B. (-infinity , -2) C. (-infinity , -2] D. (-infinity , 2]

8. 5 ln e 2 - 2 ln (7e) + ln 49 =

 A. 8 B. 3 C. 4 ln 7 D. 8e - 4 ln 7

9. If f(x) = x / (- x + 4) and g(x) = 2x + 2, then (f 0 g)(1) =

 A. 4/3 B. 4 1/3 C. 4 D. undefined

10. √(x 2 + 6x + 9) =

 A. x + √(6x) + 3 B. x + 3 C. |x + 3| D. (x + 3) 2

11. If f(x) = x 2 + 1 for x ≤ 0, then f -1(x) =

 A. x -1 B. √(x - 1) C. √(x + 1) D. - √(x - 1)

12. The domain of f(x) = ln(2 - x) + ln(3 - x) is given by

 A. (-infinity , 2) B. (2 , 3) C. (-infinity , 3) D. (-infinity , 2]

13. The solution set of the inequality (x - 1) 2 ≤ 0 is given by

 A. (-infinity , infinity) B. (-infinity , 1] C. {1} D. [1 , infinity)

14. The solution to the equation 2 (4 x+1) = 4 (8 x + 2)

 A. -5 B. 1 C. 0 D. no solution

15. The number of solutions of the equation | - x 2 + 4x + 1 | = 5 is equal to

 A. 1 B. 2 C. 3 D. 4

16. Using the absolute value concept, the statement

The distance from x to -6 is not less than 7

may be written as follows

 A. |x + 6| ≥ 7 B. |x + 6| > 7 C. |x + 7| ≥ -6 D. |x + 7| ≥ 6

17. If f(2x + 3) = 2x - 1, then f(3x + 4) =

 A. 6x + 7 B. 3x C. 6x + 11 D. 9x + 15

18. -x 2 + x - 3 =

 A. -(x + 1/2)2-11/4 B. (x - 1/2)2-11/4 C. -(x - 1/2)2-11/4 D. -(x - 1/2)2+11/4

19. How many solutions do the equation 1/x + 1/(x + 1) = 1/3 have?

 A. 0 B. 1 C. 2 D. 3

20. If the whole graph of function f lies in quadrant IV, then the graph of the inverse of lies in quadrant

 A. I B. II C. III D. IV