Question 1

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

Accepted Answer

$$(-3, 2)$$

Question 2

Given the equation $$y = 2x + 3$$, which of the following ordered pairs is a solution?

Accepted Answer

$$(1, 5)$$

Question 3

Complete the ordered pair $$(2, ule{1cm}{0.15mm}) so $$that it is a solution to $$y = \frac{1}{2}x - \frac{3}{2}.$$

Accepted Answer

$$-0.5$$

Question 4

Which of the following relations is a function?

Accepted Answer

{$$(-3, 5), (0, 2), (3, 5)$$}

Question 5

Which equation does NOT represent a function?

Accepted Answer

$$x = -100$$

Question 6

Find the domain of the function $$f(x) = \frac{1}{x-2}.$$

Accepted Answer

$$(-\infty, 2) \cup (2, \infty)$$

Question 7

Evaluate $$f(-3)$$ for $$f(x) = 3x - 1.$$

Accepted Answer

$$-10$$

Question 8

What is the $$y-$$intercept of the line $$2x + 3y = 6$$?

Accepted Answer

$$(0, 2)$$

Question 9

Find the slope of the line passing through the points $$(2, 5)$$ and $$(-1, -4).$$

Accepted Answer

$$3$$

Question 10

Which of the following lines is perpendicular to $$y = \frac{1}{2}x - 3$$?

Accepted Answer

$$y = -2x + 1$$

Question 11

A ladder is leaning against a wall with a slope of $$\frac{3}{4}. If $$the bottom of the ladder is $$8$$ feet from the wall, how high up the wall does the ladder reach?

Accepted Answer

$$6$$ feet

Question 12

Write the equation of the line in point-slope form that passes through $$(1, -2)$$ with slope $$4.$$

Accepted Answer

$$y + 2 = 4(x - 1)$$

Question 13

Which of the following ordered pairs is a solution to the inequality $$2x + 3y \u003c 6$$?

Accepted Answer

$$(0, 1)$$

Question 14

If a ride-share company models a driver's weekly earnings with $$P = 50 + 10r$$, where $$P is $$profit and $$r is $$the number of rides, what does the $$y-$$intercept represent?

Accepted Answer

The profit when no rides are given

Question 15

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

Accepted Answer

Zero

Question 16

Given the function $$f(x) = \sqrt{x-1}$$, what is the domain?

Accepted Answer

$$[1, \infty)$$

Question 17

Which of the following equations is parallel to $$y = -3x + 2$$?

Accepted Answer

$$y = -3x - 5$$

Question 18

Which of the following is the correct slope-intercept form for a line with slope $$-2$$ and $$y-$$intercept $$5$$?

Accepted Answer

$$y = -2x + 5$$

Question 19

If the graph of a relation fails the vertical line test, what can you conclude?

Accepted Answer

The relation is not a function.

Graphs and Functions: The Rectangular Coordinate System

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