# Free Compass Math Practice on Linear Equations with two Variables - Sample 21

A set of questions, with answers, on linear equations with two variables are presented. These questions are similar to those in the compass math test and their answers are at the bottom of the page.

1. What is the slope of the line corresponding to the following linear equation: 6x + 7y + 1 = 0?

A) -6
B) - 6 / 7
C) 6 / 7
D) 7 / 6
E) - 7 / 6

2. Find the slope "m" and the x-intercept "a" of the line -2x + 4y = 4.

A) m = 2 and a = 4
B) m = - 2 and a = 1
C) m = 1 / 2 and a = 2
D) m = - 1 / 2 and a = - 2
E) m = 1 / 2 and a = - 2

3. Which of the following lines, given by their equations, passes through the points A(9 , 7) and B(1 , 1)?

A) 2y - x = 5
B) x - y = 0
C) 4y - 3x = 0
D) 4y - 3x = 1
E) 4y - 3x = 2

4. Given the table of points (x , y) below,

 x y 0 15 30 45 - 20 10 40 70

which of the following equations expresses a linear relationship bewteen x and y?

A) y = - 2x - 20
B) y = - 20
C) y = 2x + 20
D) y = x - 20
E) y - 2 x = - 20

5. Which of the follwoing lines given by their equations below contains the point (-3 , 4) and is perpendicular to the line - 2x + 4y = 6?

A) y = x + 7
B) y = 2x + 10
C) y = - 2x - 2
D) y = - 2x + 2
E) y = - 2x

6. Given two lines with their equations 2y = 4x + 4 and y = 2x + 4, which of the follwowing is true about these lines?

A) They are parallel
B) They are perpendicular
C) They intersect at one point
D) They both have negative slopes
E) They have the same graph

7. Which two linear equations have the same graph?

A) x + y = 0 and x - y = 0
B) x = 2 and y = 2
C) 2y + 8x = 2 and y + 4x = 1
D) 2y + 8x = 2 and y + 4x = 2
E) y + 4x = 2 and y - 4x = 2

8. Which two linear equations have graphs that are perpendicular lines?

A) x + y = 0 and 2x + 2y = 4
B) y = 2 and x = 0
C) y = 2 and y = - 1 / 2
D) y = 2 x and y = - 2x
E) x = 4 and x = - 4

9. Which of the follwoing equations is an equation of a line?

A) x / 2 + 2 / y = 1
B) x2 + y = 0
C) x ? y = 1
D) - x / 4 + 0.5 y = 1.2
E) 1 / x + 2 / y = 1 / 3

10. Which of the equations below is that of a line parallel to the line x / 3 - y / 7 = 1 / 3?

A) 7x - 3y = 5
B) 7x + 3y = 5
C) x / 3 + y / 7 = 1/3
D) - x / 3 - y / 7 = 0
E) x + y = 1 / 3