Q: Which of the following best describes the graph of $y = 2x + 1$?

A line with slope $2$ and $y$-intercept $1$

Question 1

Which of the following is the correct domain of the function $f(x) = \sqrt{12 - 2x}$?

Accepted Answer

$x \leq 6$

Question 2

Find the slope of the line passing through the points $\left(-\frac{3}{4}, -\frac{1}{4}\right)$ and $\left(\frac{5}{7}, -\frac{5}{7}\right)$.

Accepted Answer

$-1$

Question 3

What is the $y$-intercept of the line $3x - 4y = 20$?

Accepted Answer

$(0, -5)$

Question 4

Given the function $f(x) = |1 - 6 - 4x|$, which of the following is equivalent to $f(x)$?

Accepted Answer

$| -5 - 4x |$

Question 5

Solve for $x$: $3x - 5 = 2x + 1$.

Accepted Answer

$x = 1$

Question 6

If $f(x) = x^5 - 2$ and $g(x) = \sqrt{x + 2}$, what is the domain of $g \circ f$?

Accepted Answer

$x^5 - 2 \geq -2$

Question 7

A taxi fare in Boulder City is $4.30 to get in, plus $2.40 per mile. If David's taxi ride costs $30.90, how far did he travel?

Accepted Answer

$12$ miles

Question 8

Diane is planning a rectangular farm of donkeys with its length twice its width. The perimeter is $45$ meters. What are the dimensions of the farm?

Accepted Answer

Length $= 15$ m, Width $= 7.5$ m

Question 9

Deisy worked 48 hours at a store and earned a $700$ paycheck. She earns time and a half (1.5 times her regular hourly wage) for the number of hours she works in excess of $40$. What is Deisy's regular hourly wage?

Accepted Answer

$12.50$

Question 10

Given the piecewise function $h(x) = \begin{cases} -3x - 18 & 	ext{for } x < -5 \ 1 & 	ext{for } -5 \leq x < 1 \ x + 2 & 	ext{for } x \geq 1 \end{cases}$, what is $h(4)$?

Accepted Answer

$6$

Question 11

Which of the following is NOT a function?

Accepted Answer

$f(x) = \pm \sqrt{x}$

Question 12

Find the $x$-intercept of the line $3x - 4y = 20$.

Accepted Answer

$(\frac{20}{3}, 0)$

Question 13

If $f(x) = x^5 - 2$ and $g(x) = \sqrt{x + 2}$, what is $(f \circ g)(x)$?

Accepted Answer

$(\sqrt{x + 2})^5 - 2$

Question 14

Given the equation $5x - 3y = -15$, what is the slope of the line?

Question 15

Solve for $x$: $3(x + 1) = 5 - 2(3x + 4)$.

Accepted Answer

$x = -3$

Question 16

If $g(x)$ is the function shown in the graph with $g(0) = -4$, $g(-2) = 2$, and $g(2.4) = -2.6176$, which of the following is true?

Accepted Answer

$g(0) = -4$

Question 17

Which of the following best describes the graph of $y = 2x + 1$?

Accepted Answer

A line with slope $2$ and $y$-intercept $1$

Question 18

Which of the following is the correct solution to $5x - 2 + 3x = 2x + 6 - 4x$?

Accepted Answer

$x = -1$

Question 19

Given $f(x) = x^4 - \sqrt{3x} + \frac{3}{\sqrt{3}}$, what is the domain of $f(x)$?

Accepted Answer

$x \geq 0$

Question 20

Which of the following is the correct $y$-intercept for the line $2x + y = 4$?

Accepted Answer

$(0, 4)$

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