Question 1

Evaluate the expression $$3x - 2y$$ for $$x = 3$$ and $$y = 4.$$

Accepted Answer

$$1$$

Question 2

Which of the following is the correct order of operations when evaluating algebraic expressions?

Accepted Answer

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

Question 3

What is the value of $$x^2 + 3x - 12$ when x = 8$?

Accepted Answer

$$76$$

Question 4

Which of the following points is located in Quadrant II of the rectangular coordinate system?

Accepted Answer

$$(-5, 7)$$

Question 5

If $$f(x) = x^2$ - 2x - 5$$, what is $$f(-1)$$?

Accepted Answer

$$-4$$

Question 6

Which interval notation represents all real numbers greater than $$-2$$ and less than $$4$$?

Accepted Answer

$$(-2, 4)$$

Question 7

Solve the linear equation: $$2(x - 1) = x - (3x - 1).$$

Accepted Answer

$$x = 1$$

Question 8

Which of the following is the correct set-builder notation for the interval $$(-c	ext{infty}, 4]$$?

Accepted Answer

$$\{x | x \u003c 4\}$$

Question 9

What is the slope of the line passing through the points $$(-4, 5)$$ and $$(8, 7)$$?

Accepted Answer

$$\frac{1}{2}$$

Question 10

Which graph below represents a function that passes the vertical line test?

Accepted Answer

A graph where every vertical line intersects the curve at most once.

Question 11

Given $$f(x) = 6x + 1$$, find and simplify the difference quotient $$\frac{f(x+h) - f(x)}{h}.$$

Accepted Answer

$$6$$

Question 12

Which of the following is the correct product using the FOIL method for $$(5x - 1)(2x + 3)$$?

Accepted Answer

$$10x^2 + 13x - 3$

Question 13

Which of the following is the correct graph equation for a vertical line passing through $$x = 1$$?

Accepted Answer

$$x = 1$$

Question 14

If $$|x| = 8$$, what are the possible values of $$x$$?

Accepted Answer

$$x = 8 or$$ $$x = -8$$

Question 15

Which of the following is the correct domain for the function $$f(x) = x^2$ - 2x - 5$$?

Accepted Answer

$$(-\infty, \infty)$$

Question 16

Which of the following is the correct slope-intercept form for a line with slope $$4$$ passing through $$(3, 1)$$?

Accepted Answer

$$y = 4x - 11$$

Question 17

Which of the following is the correct simplified form of $$|7 - 3|$$?

Accepted Answer

$$4$$

Question 18

If $$f(x) = x^2$, which of the following statements is true about the function?

Accepted Answer

It is an even function.

Question 19

Which of the following intervals represents where the function $$y = f(x) is $$increasing, given the graph increases from $$x = -2 to$$ $$x = 1$$?

Accepted Answer

$$(-2, 1)$$

Question 20

Given the piecewise function $$f(x) = \begin{cases} 2x + 4 & 	ext{if } x \u003c 2 \ x^2$ & 	ext{if } x \geq 2 \end{cases}$$, what is $$f(3)$$?

Accepted Answer

$$9$$

College Algebra: Fundamental Concepts, Equations, Functions, and Graphs

Study Guide - Practice Questions