Question 1

Given the quadratic function $$f(x) = x^2$ + 5x + 6$$, which of the following are the zeros of the function?

Accepted Answer

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

Question 2

Which of the following points lies on the line $$y = 2x + 4$$?

Accepted Answer

$$(3, 4)$$

Question 3

Find the slope of the line passing through the points $$(3,6)$$ and $$(4,1).$$

Accepted Answer

$$m = -5$$

Question 4

Solve the inequality $$-5 \u003c x + 2 \u003c 10$$ and express the solution in interval notation.

Accepted Answer

$$(-7, 8)$$

Question 5

Given the piecewise function $$f(x) = \begin{cases} x+1 & x \leq 2 \ 3 & x \u003e 2 \end{cases}$$, what is $$f(-6) + f(5)$$?

Accepted Answer

$$-2$$

Question 6

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

Accepted Answer

$$x = 7$$

Question 7

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

Accepted Answer

$$x = -80$$

Question 8

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

Accepted Answer

$$6$$

Question 9

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

Accepted Answer

$$x \geq 2$$

Question 10

Which of the following graphs fails the vertical line test and is NOT a function?

Accepted Answer

A graph where a vertical line crosses the curve more than once

Question 11

Which of the following is true about parallel lines in the coordinate plane?

Accepted Answer

They have the same slope

Question 12

Which of the following is an even function?

Accepted Answer

$$f(x) = -2x^4$ + 5x^2$ + 1$$

Question 13

If $$i is $$the imaginary unit, what is $$i^{35}$$?

Accepted Answer

$$-i$$

Question 14

Simplify $$(2 + \sqrt{-4}) + (7 + \sqrt{-16}).$$

Accepted Answer

$$9 + 6i$$

Question 15

Solve for $$x$$: $$\frac{3}{x} = \frac{12}{16}.$$

Accepted Answer

$$x = 4$$

Question 16

Which of the following is true about perpendicular lines in the coordinate plane?

Accepted Answer

Their slopes are negative reciprocals

Question 17

Which interval represents the solution to $$-4 \u003c x \u003c -1$$?

Accepted Answer

$$(-4, -1)$$

Question 18

Which of the following is an odd function?

Accepted Answer

$$f(x) = 3x^3$ + 4x + 2x$$

Question 19

A chemical reaction rate is modeled by $$r(t) = 7 - t. At $$what time $$t$$ does the reaction rate reach zero?

Accepted Answer

$$t = 7$$

Question 20

A medical dosage is calculated by $$d(x) = x^2$ + 1. If $$the required dosage is $$10$$, what is the value of $$x$$?

Accepted Answer

$$x = 3$$

College Algebra Study Guide: Functions, Equations, and Graphs

Study Guide - Practice Questions