$$2^2 + 3$$ \times 4 - 6 = 4 + 12 - 6 = 10$$

Question 1

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

Accepted Answer

$$1$$

Question 2

Which of the following correctly applies the order of operations to evaluate $$2^2 + 3$$ 	imes 4 - 6$$?

Accepted Answer

$$2^2 + 3$$ 	imes 4 - 6 = 4 + 12 - 6 = 10$$

Question 3

Which of the following is the correct definition of the absolute value $$|x|$$?

Accepted Answer

$$|x| = x$$ for $$x \geq 0$$ and $$|x| = -x$$ for $$x \u003c 0$$

Question 4

Given the function $$f(x) = x^2$ - 2x - 5$$, what is $$f(-1)$$?

Accepted Answer

$$4$$

Question 5

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

Accepted Answer

$$(-2, 4]$$

Question 6

If $$f(x) = 2x + 1$$, what is the difference quotient $$\frac{f(x+h) - f(x)}{h}$$?

Accepted Answer

$$2$$

Question 7

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

Accepted Answer

$$(-4, 5)$$

Question 8

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

Accepted Answer

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

Question 9

Which of the following is the correct equation of a line in point-slope form with slope $$m = 4$$ passing through $$(3, 1)$$?

Accepted Answer

$$y - 1 = 4(x - 3)$$

Question 10

Which of the following is the result of $$(5x - 1)(2x + 3)$$?

Accepted Answer

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

Question 11

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

Accepted Answer

$$f(x) is an $$even function$

Question 12

Which of the following is the correct solution to the linear equation $$2(x - 3) = x - (3x - 1)$$?

Accepted Answer

$$x = 4$$

Question 13

If $$|x| = 8$$, which of the following could be the value of $$x$$?

Accepted Answer

$$-8$$

Question 14

Which of the following is the correct graph for the equation $$y = |x| - 3$$?

Accepted Answer

A V-shaped graph with vertex at $$(0, -3)$$

Question 15

Which of the following intervals represents all $$x$$ such that $$x \leq -2$$?

Accepted Answer

$$(-\infty, -2]$$

Question 16

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

$$9$$

Question 17

Which of the following is the correct result of adding the polynomials $$4x^2 - 5x + 8$ and -7x^2$ + 9x - 12$$?

Accepted Answer

$$-3x^2 + 4x - 4$

Question 18

Which of the following is the correct solution to the inequality $$3x - 5 \leq 4$$?

Accepted Answer

$$x \leq 3$$

Question 19

Which of the following is the correct domain of the function $$f(x) = \frac{1}{x - 2}$$?

Accepted Answer

$$x 
eq 2$$

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

Study Guide - Practice Questions