Question 1

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

Accepted Answer

$$(-4, 2)$$

Question 2

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

Accepted Answer

$$(3, 0)$$

Question 3

A medical researcher graphs the equation $$y = x^2$ to model the growth of bacteria over time. What type of graph will this equation produce?

Accepted Answer

A parabola opening upwards

Question 4

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

Accepted Answer

$$(0, 5)$$

Question 5

Determine whether the ordered pair $$(2, -4) is a $$solution to the equation $$3x + 2y = -2.$$

Accepted Answer

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

Question 6

A chemist is graphing the equation $$y = |x| to $$represent the absolute deviation of a measurement. What is the shape of the graph?

Accepted Answer

A V-shape

Question 7

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

Accepted Answer

$$Ax + By = C$$

Question 8

If a line passes through the points $$(0, -8)$$ and $$(2, 0)$$, what are its y-intercept and x-intercept?

Accepted Answer

y-intercept: $$-8$$, x-intercept: $$2$$

Question 9

Which of the following equations is NOT linear?

Accepted Answer

$$y = x^2$

Question 10

A business tracks its profit using the equation $$y = 4x + 2. $$What is the y-intercept of this equation?

Accepted Answer

$$2$$

Question 11

Which of the following statements about ordered pairs is TRUE?

Accepted Answer

Each point in the plane corresponds to exactly one ordered pair.

Question 12

A scientist is analyzing the solution set of $$2x + 5y = -4. $$Which of the following ordered pairs is a solution?

Accepted Answer

$$(3, -2)$$

Question 13

Which of the following best describes the process to find the x-intercept of a linear equation?

Accepted Answer

Let $$y = 0$$ and solve for $$x$$

Question 14

Which of the following points is in Quadrant IV?

Accepted Answer

$$(2, -4)$$

Question 15

A student claims that the point $$(0, 0) is $$called the origin. Is this correct?

Accepted Answer

Yes, $$(0, 0) is $$the origin.

Question 16

Which of the following equations represents a nonlinear relationship?

Accepted Answer

$$y = |x|$$

Question 17

If you want to graph the equation $$y = \frac{3}{4}x + 2$$, which x-values should you choose to avoid fractions in the y-values?

Accepted Answer

Multiples of $$4$$

Question 18

A city planner uses the equation $$y = 2x to $$model the relationship between the number of new houses and the number of new roads. What is the slope of this line?

Accepted Answer

$$2$$

Question 19

Which of the following is a correct step to determine if $$(1, 2) is a $$solution to $$x + 2y = 5$$?

Accepted Answer

Substitute $$x = 1$$ and $$y = 2$$ into the equation

Question 20

Which of the following best describes the process for graphing an ordered pair $$(x, y)$$?

Accepted Answer

Start at the origin, move $$x$$ units right or left, then $$y$$ units up or down

Graphing and the Rectangular Coordinate System: Study Notes for Intermediate Algebra

Study Guide - Practice Questions

Study Guide - Flashcards