Question 1

Which of the following best describes the rectangular coordinate system (Cartesian Plane)?

Accepted Answer

It consists of two perpendicular number lines forming a 2-D plane.

Question 2

Given the point $$(-3, 4)$$, in which quadrant of the Cartesian plane does it lie?

Accepted Answer

Quadrant II

Question 3

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

Accepted Answer

$$(-3, 0)$$

Question 4

Which ordered pair is a solution to the equation $$y = -2x + 5$$?

Accepted Answer

$$(2, 1)$$

Question 5

If a graph crosses the $$y-$$axis at $$(0, -4)$$, what is the $$y-$$intercept?

Accepted Answer

$$-4$$

Question 6

Which of the following points does NOT satisfy the equation $$y = x^2$ - 1$$?

Accepted Answer

$$(3, 8)$$

Question 7

What is the $$y-$$intercept of the equation $$x + 2y = 8$$?

Accepted Answer

$$(0, 4)$$

Question 8

Which step is NOT part of the process for graphing two-variable equations by plotting points?

Accepted Answer

Only plot points where $$x = 0.$$

Question 9

For the equation $$y = \sqrt{x} + 1$$, which of the following points is valid if only positive $$x$$ values are chosen?

Accepted Answer

$$(4, 3)$$

Question 10

A student graphs the equation $$y = x - 2$$ and plots the points $$(2, 0)$$, $$(0, -2)$$, and $$(4, 2). $$What is the slope of the line?

Accepted Answer

$$1$$

Question 11

Which of the following is the correct $$x-$$intercept for the equation $$y = 3x + 9$$?

Accepted Answer

$$(-3, 0)$$

Question 12

If the graph of an equation passes through $$(0, 5)$$ and $$(2, 1)$$, what is the equation of the line?

Accepted Answer

$$y = -2x + 5$$

Question 13

Which of the following is a $$y-$$intercept for the equation $$y = x^2$ - 3x + 2$$?

Accepted Answer

$$(0, 2)$$

Question 14

A chemical reaction is modeled by $$y = 2x + 1$$, where $$x is $$the amount of reactant and $$y is $$the product formed. If $$x = 5$$, how much product is formed?

Accepted Answer

$$11$$

Question 15

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

Accepted Answer

$$(3, 3)$$

Question 16

If the $$x-$$intercept of a graph is $$(5, 0)$$, what does this mean in a real-world context?

Accepted Answer

The output is zero when the input is five.

Question 17

Which equation represents a line passing through $$(0, 2)$$ and $$(2, 6)$$?

Accepted Answer

$$y = 2x + 2$$

Question 18

A medical dosage is modeled by $$y = 0.5x + 2$$, where $$x is $$the number of hours after administration. What is the dosage after 4 hours?

Accepted Answer

$$4$$

Question 19

Which of the following is the $$y-$$intercept for the equation $$y = -4x + 7$$?

Accepted Answer

$$(0, 7)$$

Question 20

If the equation $$y = x^2$ models the height of a ball thrown upward, what is the height when x = 3$ seconds?

Accepted Answer

$$9$$

Basics of Graphing in College Algebra

Study Guide - Practice Questions

Study Guide - Flashcards