Question 1

Which of the following is the correct solution to the absolute value equation $$|2x - 5| = 9$$?

Accepted Answer

Question 2

A car rental company charges a flat fee of $$\50$ plus $$\$$0.20$$ per mile driven. Which equation models the total cost $$C$$ for driving $$m$$ miles?

Accepted Answer

$$C = 50 + 0.20m$$

Question 3

Which of the following graphs represents a function?

Accepted Answer

A graph where each $$x-$$value corresponds to exactly one $$y-$$value.

Question 4

Given $$f(x) = 3x^2$ - 2x + 1$$, what is $$f(-2)$$?

Accepted Answer

Question 5

Which of the following is the inverse function of $$f(x) = 2x + 5$$?

Accepted Answer

$$f^{-1}(x$$) = \frac{x-5}{2}$$

Question 6

If $$g(x) = x^2$ and h(x) = x + 3$, what is (g$$ \circ h)(2)$$?

Accepted Answer

Question 7

Which of the following is a solution to the inequality $$3x - 7 \u003c 2x + 5$$?

Accepted Answer

$$x \u003c 12$$

Question 8

A quadratic function $$f(x) = ax^2$ + bx + c$$ opens upward if:

Accepted Answer

$$a \u003e 0$$

Question 9

Which of the following is the correct factorization of $$x^2 - 9$?

Accepted Answer

$$(x - 3)(x + 3)$$

Question 10

A rational function has a vertical asymptote at $$x = 2 if$$:

Accepted Answer

The denominator is zero at $$x = 2$$ and the numerator is not zero at $$x = 2.$$

Question 11

Which of the following is the correct solution to the exponential equation $$2^x = 16$$?

Accepted Answer

$$x = 4$$

Question 12

If $$\log_{10}(x) = 2$$, what is the value of $$x$$?

Accepted Answer

$$x = 100$$

Question 13

Which of the following is the sum of the first five terms of the arithmetic sequence $$a_n = 3 + 2(n-1)$$?

Accepted Answer

$$25$$

Question 14

A system of equations is given by $$\begin{cases} x + y = 5 \ x - y = 1 \end{cases}. $$What is the solution $$(x, y)$$?

Accepted Answer

$$(x, y) = (3, 2)$$

Question 15

Which of the following is the equation of a circle with center $$(2, -3)$$ and radius $$4$$?

Accepted Answer

$$(x - 2)^2$ + (y + 3)^2$ = 16$$

Question 16

Which of the following is the correct binomial expansion for $$(x + 2)^2$?

Accepted Answer

$$x^2 + 4x + 4$

Question 17

If $$f(x) = x^2$ and g(x) = x + 1$, what is f(g(3$$))$$?

Accepted Answer

Question 18

Which of the following is the correct solution to the system $$\begin{cases} 2x + 3y = 7 \ x - y = 1 \end{cases}$$?

Accepted Answer

Question 19

Which of the following is the correct formula for the sum $$S_n of $$the first $$n$$ terms of a geometric sequence with first term $$a$$ and common ratio $$r 
eq 1$$?

Accepted Answer

$$S_n = a \frac{1 - r^n}{1 - r}$$

Comprehensive Study Guide: College Algebra Foundations and Key Topics

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