Question 1

Which of the following ordered pairs lies in Quadrant II of the rectangular coordinate system?

Accepted Answer

$$(-4, 2)$$

Question 2

What is the correct definition of the origin in the rectangular coordinate system?

Accepted Answer

The point $$(0, 0)$$ where the x-axis and y-axis intersect

Question 3

Given the equation $$2x + 5y = -4$$, is the ordered pair $$(3, -2) a $$solution?

Accepted Answer

Yes, because $$2(3) + 5(-2) = -4$$

Question 4

Which of the following equations is in standard form for a linear equation in two variables?

Accepted Answer

$$3x + 4y = 12$$

Question 5

A company tracks the relationship between the number of friends and followers on a social media platform. If the data is plotted with 'number of friends' on the x-axis and 'average number of followers' on the y-axis, which type of graph is most appropriate?

Accepted Answer

A scatter plot

Question 6

Which of the following points lies on the y-axis?

Accepted Answer

$$(0, 4)$$

Question 7

If you are asked to graph the equation $$y = x + 3$$, which of the following ordered pairs is a solution?

Accepted Answer

$$(0, 3)$$

Question 8

Which of the following best describes the process for plotting the point $$(-2, 5)$$?

Accepted Answer

Move 2 units left and 5 units up from the origin

Question 9

Which of the following is NOT a solution to the equation $$x + 4y = -8$$?

Accepted Answer

$$(0, -2)$$

Question 10

A parabola is graphed using the equation $$y = x^2$. Which of the following points lies on this graph?

Accepted Answer

$$(2, 4)$$

Question 11

Which of the following equations represents a nonlinear relationship?

Accepted Answer

$$y = |x|$$

Question 12

If a point is located at $$(0, -5)$$, on which axis does it lie?

Accepted Answer

y-axis

Question 13

Which of the following ordered pairs is a solution to $$3x + 5y = 15$$?

Accepted Answer

$$(0, 3)$$

Question 14

A city plots the relationship between the number of hours of sunlight (x) and the temperature (y) on a coordinate plane. If the point $$(6, 75) is $$plotted, what does this point represent?

Accepted Answer

75 degrees at 6 hours of sunlight

Question 15

Which of the following best describes the graph of $$y = |x|$$?

Accepted Answer

A V-shaped graph

Question 16

If you want to avoid fractions when graphing $$y = \frac{1}{4}x + 3$$, which x-values should you choose?

Accepted Answer

Multiples of 4

Question 17

Which of the following statements is TRUE about the rectangular coordinate system?

Accepted Answer

Each point in the plane corresponds to exactly one ordered pair

Question 18

Which of the following points is in Quadrant IV?

Accepted Answer

$$(2, -3)$$

Question 19

A scientist records the temperature at different times of the day and plots the data as ordered pairs $$(x, y)$$, where $$x is $$the time in hours and $$y is $$the temperature in degrees Celsius. If the scientist wants to find when the temperature was exactly $$20^\	ext{o}C$$, what should they look for?

Accepted Answer

The x-value when $$y = 20$$

Question 20

Which of the following is the correct process to determine if $$(a, b) is a $$solution to $$Ax + By = C$$?

Accepted Answer

Substitute $$a$$ for $$x$$ and $$b$$ for $$y in $$the equation and check if the equation is true

Graphing Equations and Ordered Pairs in the Rectangular Coordinate System

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