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College Algebra Questions With Answers
Sample 1

College algebra multiple choice questions, with answers, are presented. The solutions are at the bottom of the page. Also Detailed solutions with full explanations are included.

Question 1

Simplify:

$9^{\log_{9}(4)} =$
A. 3
B. 4
C. 9
D. 81

Question 2

Simplify:

$3^{\log_{3}(-5)} =$
A. -5
B. 3
C. 9
D. undefined

Question 3

$f(x) = -2x^{2} + 8x - 4$ , which of the following is true?
A. The maximum value of

$f(x)$ is - 4.
B. The graph of

$f$ opens upward.
C. The graph of

$f$ has no x-intercept
D.

$f$ is not a one to one function.

Question 4

$f(x) = 5 - 2^{x}$ , then

$f^{-1}(- 3) =$
A.

$\dfrac{8}{39}$
B. -3
C. 3
D. 32

Question 5

$\log_{x}(3) = \dfrac{1}{4}$ , then

$x =$
A. 81
B.

$\dfrac{1}{81}$
C. 3
D. 9

Question 6

$f(x) = -x^{2} + 1$ , then

$f(x + 1) =$
A.

$-x^{2} + 1$
B.

$-x^{2} - 2x$
C.

$-x^{2}$
D.

$-x^{2} -2x - 2$

Question 7

$f(x) = x - 4$ , then

$(f_{o}f)(3) =$
A. 1
B. -1
C. -5
D. 5

Question 8

$\ln(3x - 2) = 1$ , then

$x =$
A.

$\dfrac{2}{3}$
B.

$\dfrac{(2 + e)}{3}$
C.

$\dfrac{3}{2}$
D.

$\dfrac{e}{3}$

Question 9

The number of solutions of

$(x^{2} + 1)^{2} + 2(x^{2} + 1) - 3 = 0$ is equal to
A. 1
B. 2
C. 3
D. 4

Question 1o

If the graph of

$y = (x - 2)^{2} - 3$ is translated 5 units up and 2 units to the right, then the equation of the graph obtained is given by
A.

$y = x^{2} + 2$
B.

$y = (x - 2)^{2} + 5$
C.

$y = (x + 2)^{2} + 2$
D.

$y = (x - 4)^{2} + 2$

Question 11

$f(x) = -e^{x} - 2$ , then the range of

$f$ is given by the interval
A.

$(-\infty , -2)$
B.

$(-\infty , +\infty)$
C.

$(-2; , +\infty)$
D.

$(-\infty , +2)$

Question 12

$f(x) = \dfrac{\sqrt{x - 1}}{x^{2} - 9}$ , then the domain of

$f$ is given by the interval
A.

$(1 , +\infty)$
B.

$(-3 , +3)$
C.

$[1 , 3) \cup (3 , +\infty)$
D.

$(-3 , 3) \cup (3 , +\infty)$

Question 13

The number of points of intersections of the graphs of

$y = 2^{x}$ and

$y = -x^{2} + 2$ is equal to
A. 0
B. 1
C. 2
D. 3

Question 14

$f(x) = \ln(x + 1) - 2$ , then

$f^{-1}(x) =$
A.

$e^{x + 1} - 2$
B.

$e^{x} - 2$
C.

$e^{x + 2} - 2$
D.

$e^{x + 2} - 1$

Question 15

For all

$x$ real,

$\sqrt{x^{2} -4x + 4} =$
A.

$x - 2$
B.

$x + 2x + 2$
C.

$|x - 2|$
D.

$x + 2$

Question 16

The value of

$x$ that makes

$x^{2} + 6x + 13$ maximum is equal to
A. 6
B. -3
C. 13
D. 3

Question 17

$e^{\ln(3) - \ln(2) + \ln(1/x)} =$
A.

$\dfrac{3}{2x}$
B.

$\dfrac{3x}{2}$
C.

$1 + \dfrac{1}{x}$
D.

$\dfrac{3}{2} - \dfrac{1}{x}$

Question 18

$f(x) = \dfrac{x - 1}{x + 2}$ , then the range of

$f$ is given by the interval
A.

$(-\infty , -2) \cup (-2 , +\infty)$
B.

$(-\infty , 1) \cup (1 , +\infty)$
C.

$(-2; , +\infty)$
D.

$(-\infty , 1)$

Question 19

$\ln((x - 1)^{2}) = 2 \ln(x - 1)$ for all

$x$ in the interval
A.

$(-\infty , +\infty)$
B.

$[0 , +\infty)$
C.

$(-\infty , 1) \cup (1 , +\infty)$
D.

$(1 , +\infty)$

Question 20

Let

$f(x) = x^{2} + 2x + 4$ . Which of the following statements is NOT true?
A.

$f(x)$ has a maximum value
B. The graph of

$f$ is not a line
C. The graph of

$f$ has no x-intercepts.
D. The graph of

$f$ has a y-intercept.

College Algebra Questions With Answers
Sample 1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 1o

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Answers to the Above Questions

More References and links

College Algebra Questions With Answers Sample 1

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 1o

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Answers to the Above Questions

More References and links

College Algebra Questions With Answers
Sample 1