Question 1

Which of the following points is located in the fourth quadrant of the Cartesian plane?

Accepted Answer

D(5,-2)

Question 2

What is the correct general form of a linear equation in two variables?

Accepted Answer

$$Ax+By=C$$

Question 3

If you plot the point F(4,0) on the Cartesian plane, which axis does it lie on?

Accepted Answer

The x-axis

Question 4

Which of the following statements best describes the Cartesian plane?

Accepted Answer

A plane divided into four quadrants by the x and y axes

Question 5

Given the equation $$3x - 2y = 6$$, which of the following is a solution to the equation?

Accepted Answer

$$(2,0)$$

Question 6

Which of the following points is furthest from the origin?

Accepted Answer

E(-6,8)

Question 7

If the equation $$Ax+By=C$$ represents a line, what must be true about A and B?

Accepted Answer

A and B cannot both be zero

Question 8

Which of the following is NOT a linear equation in two variables?

Accepted Answer

$$x^2 + y = 4$

Question 9

If you graph the point G(-4,-5), which quadrant does it fall in?

Accepted Answer

Quadrant III

Question 10

Which of the following best describes the solution set of a linear equation in two variables?

Accepted Answer

A line

Question 11

If the equation $$x + 2y = 8 is $$graphed, what is the y-intercept?

Accepted Answer

$$(0,4)$$

Question 12

Which of the following points lies on the line $$y = 2x + 1$$?

Accepted Answer

$$(2,5)$$

Question 13

If a point has coordinates $$(x, y)$$ and $$x  0$$, which quadrant is it in?

Accepted Answer

Quadrant II

Question 14

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

Accepted Answer

$$Ax+By=C$$

Question 15

If you are given the equation $$2x + 3y = 12$$, what is the x-intercept?

Accepted Answer

$$(6,0)$$

Question 16

Which of the following points is closest to the origin?

Accepted Answer

C(0,3)

Question 17

If a linear equation in two variables is graphed, what is the geometric shape of its graph?

Accepted Answer

A straight line

Question 18

Which of the following points has both coordinates negative?

Accepted Answer

B(-4,-1)

Question 19

If the equation $$x - y = 0 is $$graphed, which of the following points lies on the line?

Accepted Answer

$$(2,2)$$

Question 20

Which of the following best describes the form $$Ax+By=C$$?

Accepted Answer

Standard form of a linear equation

Study Notes: Linear Equations in Two Variables and the Cartesian Plane

Study Guide - Practice Questions