Q: Which of the following statements is true about the lines $y = 3x + 1$ and $y = 3x - 4$?

They are parallel because they have the same slope.

Q: Which of the following is NOT a function?

A graph that fails the vertical line test.

Q: Which of the following best describes an odd function?

A function with all odd powers of the variable and symmetry about the origin.

Q: Which of the following is true about the function $y = 2x + 4$ and the point $(3,1)$?

$(3,1)$ is not a solution because $2(3) + 4 \neq 1$

Q: Which of the following is the correct graph for the equation $y = 3x + 1$?

A straight line with slope $3$ and $y$-intercept $1$

Question 1

Given the quadratic equation $x^2 + 5x + 6 = 0$, which of the following are the correct solutions?

Accepted Answer

$x = -2$ and $x = -3$

Question 2

Which of the following best describes the slope of the line passing through the points $(3,6)$ and $(4,1)$?

Accepted Answer

$m = -5$

Question 3

If $f(x) = x+1$ for $x \leq 2$ and $f(x) = 3$ for $x > 2$, what is $f(-6) + f(5)$?

Question 4

Which of the following intervals represents the solution to $-5 < x + 2 < 10$?

Accepted Answer

$(-7, 8)$

Question 5

Find the zero of the function $f(x) = 7 - x$.

Accepted Answer

$x = 7$

Question 6

Which of the following statements is true about the lines $y = 3x + 1$ and $y = 3x - 4$?

Accepted Answer

They are parallel because they have the same slope.

Question 7

Solve for $x$: $\sqrt{1 - x} = 9$

Accepted Answer

$x = -80$

Question 8

Which of the following is the correct solution set for $-4 \leq x < 1$ or $x \geq 1$?

Accepted Answer

$[-4, \infty)$

Question 9

Given $f(x) = x^2 + 1$ and $g(x) = 7 - x$, what is $(f-g)(3)$?

Accepted Answer

$6$

Question 10

Which of the following is NOT a function?

Accepted Answer

A graph that fails the vertical line test.

Question 11

Solve and graph the solution to $10 - 3x \leq 3x - 2$.

Accepted Answer

$x \geq 2$

Question 12

Which of the following is an example of an even function?

Accepted Answer

$-2x^4 + 5x^2 + 1$

Question 13

If two lines are perpendicular, which of the following must be true about their slopes $m_1$ and $m_2$?

Accepted Answer

$m_1 \cdot m_2 = -1$

Question 14

Which of the following is the correct solution to $\frac{3}{x} = \frac{12}{16}$?

Accepted Answer

$x = 4$

Question 15

Which of the following is the correct sum of $(2 + \sqrt{-4}) + (7 + \sqrt{-16})$?

Accepted Answer

$9 + 6i$

Question 16

Which of the following best describes an odd function?

Accepted Answer

A function with all odd powers of the variable and symmetry about the origin.

Question 17

If $i^{35}$ is evaluated, what is the result?

Accepted Answer

$-i$

Question 18

Which of the following is the correct interval notation for the solution to $-5 \leq x \leq -3$?

Accepted Answer

$[-5, -3]$

Question 19

Which of the following is true about the function $y = 2x + 4$ and the point $(3,1)$?

Accepted Answer

$(3,1)$ is not a solution because $2(3) + 4 
eq 1$

Question 20

Which of the following is the correct graph for the equation $y = 3x + 1$?

Accepted Answer

A straight line with slope $3$ and $y$-intercept $1$

College Algebra: Key Concepts, Problem Solving, and Function Analysis

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