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 $$2x + 3y = 10$$, what is the $$y-$$value when $$x = 2$$?

Accepted Answer

$$y = 2$$

Question 3

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

Accepted Answer

$$(3, 1)$$

Question 4

Given the function $$f(x) = 3x - 1$$, what is $$f(4)$$?

Accepted Answer

$$f(4) = 11$$

Question 5

Which of the following relations is NOT a function?

Accepted Answer

$$\{(2, 5), (0, 2), (2, 9)\}$$

Question 6

What is the slope of the line passing through the points $$(1, 2)$$ and $$(5, 10)$$?

Accepted Answer

$$m = 2$$

Question 7

Which equation represents a line perpendicular to $$y = 2x + 3$$?

Accepted Answer

$$y = -\frac{1}{2}x + 1$$

Question 8

Find the $$x-$$intercept of the line $$3x - 2y = 6.$$

Accepted Answer

$$(2, 0)$$

Question 9

A ride-share company models a driver's weekly earnings with $$P = 50 + 8r$$, 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 10

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

Accepted Answer

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

Question 11

Given the equation $$y = 2x + 3$$, write the equation in point-slope form for the point $$(1, 5).$$

Accepted Answer

$$y - 5 = 2(x - 1)$$

Question 12

Which of the following best describes the graph of $$x = -3$$?

Accepted Answer

A vertical line passing through $$x = -3$$

Question 13

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

Accepted Answer

$$[1, \infty)$$

Question 14

Which of the following inequalities would be graphed with a dashed line and shading above the line?

Accepted Answer

$$y \u003e 2x - 4$$

Question 15

Given the points $$A(2, 3)$$ and $$B(5, 9)$$, what is the equation of the line passing through them in slope-intercept form?

Accepted Answer

$$y = 2x - 1$$

Question 16

Which of the following is the range of the function $$f(x) = x^2$ + 1$$?

Accepted Answer

$$[1, \infty)$$

Question 17

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

Accepted Answer

$$6$$ feet

Question 18

Which of the following lines is parallel to $$y = -\frac{2}{3}x + 5$$?

Accepted Answer

$$y = -\frac{2}{3}x - 1$$

Question 19

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

Accepted Answer

$$(0, 1)$$

Graphs and Functions: The Rectangular Coordinate System

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