Question 1

Which of the following best describes the point where the x-axis and y-axis intersect on a Cartesian coordinate plane?

Accepted Answer

The origin, at $$(0, 0)$$

Question 2

If a point is located at $$(4, -3) on $$the coordinate plane, in which quadrant does it lie?

Accepted Answer

Quadrant IV

Question 3

Which equation represents a vertical line on the coordinate plane?

Accepted Answer

$$x = -2$$

Question 4

A business tracks its profit using the equation $$y = 2x + 5$$, where $$x is $$the number of products sold and $$y is $$the profit in dollars. What is the profit if 10 products are sold?

Accepted Answer

$$y = 30$$

Question 5

Which of the following points lies on the line $$y = -2x + 4$$?

Accepted Answer

$$(2, 0)$$

Question 6

If a line passes through the points $$(0, 3)$$ and $$(2, 7)$$, what is the slope of the line?

Accepted Answer

$$m = 2$$

Question 7

Which equation describes a horizontal line passing through the point $$(0, -4)$$?

Accepted Answer

$$y = -4$$

Question 8

A scientist records the temperature every hour. If the temperature increases by $$3^\circC $$each hour, which equation models the temperature $$T$$ after $$h$$ hours, starting from $$10^\circC$$?

Accepted Answer

$$T = 3h + 10$$

Question 9

Which of the following is the $$y-$$intercept of the line $$y = -5x + 7$$?

Accepted Answer

$$7$$

Question 10

A car rental company charges a flat fee of $$\20$ plus $$\$$0.50$$ per mile driven. Which equation represents the total cost $$C$$ for $$m$$ miles?

Accepted Answer

$$C = 0.5m + 20$$

Question 11

If the equation $$y = 4x - 1 is $$graphed, what is the $$x-$$intercept?

Accepted Answer

$$(0.25, 0)$$

Question 12

Which of the following best describes the slope of the line $$y = -x + 2$$?

Accepted Answer

The slope is $$-1$$

Question 13

A student plots the points $$(1, 2)$$, $$(2, 4)$$, and $$(3, 6) on a $$graph. What is the equation of the line passing through these points?

Accepted Answer

$$y = 2x$$

Question 14

Which of the following points is NOT on the line $$y = x - 3$$?

Accepted Answer

$$(1, 2)$$

Question 15

If a line has the equation $$y = 0.5x + 2$$, what is the value of $$y$$ when $$x = 6$$?

Accepted Answer

$$y = 5$$

Question 16

A company’s revenue $$R in $$dollars is given by $$R = 15x$$, where $$x is $$the number of items sold. If the company wants to make at least $$\150$, what is the minimum number of items they must sell?

Accepted Answer

$$x = 10$$

Question 17

Which equation represents a line parallel to $$y = 3x - 2$$?

Accepted Answer

$$y = 3x + 5$$

Question 18

A biologist models the population of bacteria with $$P = 100 + 25t$$, where $$t is $$time in hours. What is the population after 4 hours?

Accepted Answer

$$P = 200$$

Question 19

Which of the following is the correct slope-intercept form for a line with slope $$-4$$ and $$y-$$intercept $$3$$?

Accepted Answer

$$y = -4x + 3$$

Question 20

If a line passes through $$(0, 5)$$ and has a slope of $$-2$$, what is its equation?

Accepted Answer

$$y = -2x + 5$$

Introduction to the Cartesian Coordinate System and Graphing

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