Question 1

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

Accepted Answer

$$(-3, 2)$$

Question 2

Given the equation $$2x + 5y = -4$$, which of the following ordered pairs is a solution?

Accepted Answer

$$(3, -2)$$

Question 3

What is the $$y-$$intercept of the line given by $$3x + 5y = 15$$?

Accepted Answer

$$(0, 3)$$

Question 4

Which of the following best describes the origin in the rectangular coordinate system?

Accepted Answer

The point where $$x = 0$$ and $$y = 0$$

Question 5

A chemist is plotting the temperature and pressure of a gas sample. If the ordered pair $$(0, 100) is $$plotted, what does the $$x-$$coordinate represent?

Accepted Answer

The initial temperature

Question 6

Which equation is NOT a linear equation in two variables?

Accepted Answer

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

Question 7

If a point lies on the $$y-$$axis, which of the following must be true about its coordinates?

Accepted Answer

$$x = 0$$

Question 8

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

Accepted Answer

$$(0, 2)$$

Question 9

A business tracks the number of products sold ($$x) $$and the total revenue ($$y). If $$the relationship is $$y = 5x + 100$$, what does the $$100$$ represent?

Accepted Answer

The fixed starting revenue

Question 10

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

Accepted Answer

A V-shaped graph opening upwards

Question 11

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

Accepted Answer

Multiples of $$4$$

Question 12

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

Accepted Answer

$$(-2, 0)$$

Question 13

A medical researcher plots patient age ($$x) $$and cholesterol level ($$y). If $$the data point $$(45, 200) is on $$the graph, what does $$200$$ represent?

Accepted Answer

The cholesterol level for a 45-year-old patient

Question 14

Which of the following is the correct process to plot the point $$(-3, 5)$$?

Accepted Answer

Move 3 units left, then 5 units up

Question 15

Which of the following equations represents a parabola?

Accepted Answer

$$y = x^2$

Question 16

If a point is located at $$(0, -7)$$, on which axis does it lie?

Accepted Answer

y-axis

Question 17

Which of the following is true about the solution to a linear equation in two variables?

Accepted Answer

Each solution corresponds to a point on the line represented by the equation

Question 18

A company’s profit ($$y) is $$modeled by $$y = 10x - 50$$, where $$x is $$the number of units sold. What is the break-even point?

Accepted Answer

$$(5, 0)$$

Question 19

Which of the following best describes the relationship between the number of friends and followers in a social media study, as shown in a linear graph?

Accepted Answer

As the number of friends increases, the average number of followers increases

Graphing Equations and Ordered Pairs in the Rectangular Coordinate System

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