Question 1

Which of the following best describes a function?

Accepted Answer

A rule that assigns every input to exactly one output.

Question 2

Given the function $$f(x) = x^2$ + 2x$$, what is $$f(-3)$$?

Accepted Answer

Question 3

Which of the following is the parent function for a quadratic?

Accepted Answer

$$f(x) = x^2$

Question 4

If $$g(x) = 2x + 1$$, what is $$g(4)$$?

Accepted Answer

$$g(4) = 9$$

Question 5

Which of the following is the correct factorization of $$x^2 + 5x + 6$?

Accepted Answer

$$(x + 2)(x + 3)$$

Question 6

A company models its profit with the function $$P(x) = -2x^2$ + 8x + 10$$, where $$x is $$the number of items sold. What type of function is this?

Accepted Answer

Quadratic

Question 7

Which of the following is the solution to the linear equation $$3x + 12 = 5$$?

Accepted Answer

$$x = -\frac{7}{3}$$

Question 8

Given $$h(x) = \sqrt{x^2$ + 1}$$, what is $$h(-2)$$?

Accepted Answer

$$h(-2) = \sqrt{5}$$

Question 9

Which of the following is the correct factorization of $$2x^2 + 5x + 2$?

Accepted Answer

$$(2x + 1)(x + 2)$$

Question 10

Which of the following points lies on the graph of $$f(x) = x^2$ - 1$$?

Accepted Answer

$$(2, 3)$$

Question 11

If $$f(x) = |x|$$, which of the following is true about its graph?

Accepted Answer

It is symmetric about the y-axis.

Question 12

Which of the following is the correct factorization of $$x^2 + 4x + 4$?

Accepted Answer

$$(x + 2)^2$

Question 13

A student graphs $$f(x) = x^2$ by plotting the points (-2$$, 4)$$, (-1$$, 1)$$, (0$$, 0)$$, (1$$, 1)$$, (2$$, 4)$$. What is the next logical point to plot for a complete graph?

Accepted Answer

$$(3, 9)$$

Question 14

Which of the following is the solution to $$5x - 2 = 8$$?

Accepted Answer

$$x = 2$$

Question 15

If $$f(x) = 3x - 1$$, what is $$f(2)$$?

Accepted Answer

$$f(2) = 5$$

Question 16

Which of the following is the correct factorization of $$x^2 + 7x + 6$?

Accepted Answer

$$(x + 1)(x + 6)$$

Question 17

Which of the following is the solution to $$2x + 1 = 5$$?

Accepted Answer

$$x = 2$$

Question 18

Which of the following is the correct factorization of $$2x^2 - 7x + 3$?

Accepted Answer

$$(2x - 1)(x - 3)$$

Question 19

Which of the following is the solution to $$2 - 3x = 4$$?

Accepted Answer

$$x = -\frac{2}{3}$$

Question 20

Which of the following is the correct factorization of $$3x^2 - 7x + 2$?

Accepted Answer

$$(3x - 1)(x - 2)$$

Precalculus Review: Functions, Graphing, Factoring, and Linear Equations

Study Guide - Practice Questions

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