Question 1

Which of the following equations represents a line that is perpendicular to the line $$y = \frac{1}{3}x - 2$$?

Accepted Answer

$$y = -3x + 5$$

Question 2

A biologist tracks the growth of a plant and finds its height $$h (in cm) $$after $$x$$ days is given by $$h(x) = 2x + 5. $$What is the plant's height after 10 days?

Accepted Answer

$$h(10) = 25$$

Question 3

Which of the following is NOT a linear equation?

Accepted Answer

$$y = x^2$ + 3$$

Question 4

A company charges a base fee of $$\50$ plus $$\$$20$$ per hour for consulting. Which equation models the total cost $$C$$ for $$h$$ hours?

Accepted Answer

$$C = 20h + 50$$

Question 5

Find the slope of the line passing through the points $$(4, -2)$$ and $$(10, 10).$$

Accepted Answer

$$m = 2$$

Question 6

Which of the following statements about the graph of $$f(x) = |x| is $$TRUE?

Accepted Answer

It has a vertex at $$(0, 0)$$ and forms a V-shape.

Question 7

Given the equation $$2x + 3y = 12$$, what is the $$x-$$intercept?

Accepted Answer

$$(6, 0)$$

Question 8

Which of the following best describes the slope of a horizontal line?

Accepted Answer

The slope is $$0.$$

Question 9

A taxi company charges $$\3$ for the first mile and $$\$$2$$ for each additional mile. Which equation gives the total cost $$C$$ for $$m$$ miles ($$m \geq 1$$)?

Accepted Answer

$$C = 2(m - 1) + 3$$

Question 10

Which of the following lines is parallel to $$y = -2x + 4$$?

Accepted Answer

$$y = -2x - 7$$

Question 11

If $$f(x) = 4x - 9$$, what is the ordered pair corresponding to $$f(2)$$?

Accepted Answer

$$(2, -1)$$

Question 12

Which of the following equations is in standard form?

Accepted Answer

$$3x - 2y = 7$$

Question 13

A vertical line passes through $$x = -4. $$Which of the following statements is TRUE?

Accepted Answer

The equation is $$x = -4$$ and it is not a function.

Question 14

Given the points $$(1, 5)$$ and $$(4, 14)$$, what is the equation of the line passing through them in slope-intercept form?

Accepted Answer

$$y = 3x + 2$$

Question 15

Which of the following best describes the domain of the function $$f(x) = 5x - 1$$?

Accepted Answer

All real numbers

Question 16

A line passes through $$(0, 7)$$ and $$(2, 1). $$What is its equation in slope-intercept form?

Accepted Answer

Question 17

A line passes through $$(0, 7)$$ and $$(2, 1). $$What is its equation in slope-intercept form?

Accepted Answer

$$y = -3x + 7$$

Question 18

Which of the following ordered pairs is a solution to the equation $$y = 2x - 5$$?

Accepted Answer

$$(3, 1)$$

Question 19

A medical researcher models a patient's temperature $$T (in$$ $$^ C) as a $$function of time $$t (in $$hours) after taking medication: $$T(t) = -0.5t + 38. $$What is the patient's temperature 4 hours after taking the medication?

Accepted Answer

$$T(4) = 36^ C$$

Question 20

Which of the following best describes the difference between linear and quadratic equations?

Accepted Answer

Linear equations have a constant rate of change and graph as straight lines; quadratic equations have a changing rate of change and graph as parabolas.

Linear Functions and Graphing: Study Guide for Intermediate Algebra

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