Question 1

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

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 $f(-2)$?

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 $(g \circ h)(2)$?

Question 7

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

Accepted Answer

$x < 12$

Question 8

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

Accepted Answer

$a > 0$

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 $f(g(3))$?

Question 18

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

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

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

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