Mastering Linear Equations

Solve for x: 3x + 5 = 20.

• 15

• 5

• 0

• 10

What is the slope of the line represented by the equation y = 2x + 3?

• 2

• -2

• 1

• 3

Determine if the lines y = 4x + 1 and y = -1/4x + 2 are parallel, perpendicular, or neither.

• intersecting

• parallel

• perpendicular

• neither

If a line has a slope of 3, what is the slope of a line perpendicular to it?

• 1/3

• 0

• -3

• -1/3

Solve the equation: 5(x - 2) = 3(x + 4).

• 9

• 11

• 15

• 7

A line passes through the points (2, 3) and (4, 7). What is the equation of the line in slope-intercept form?

• y = 3x - 3

• y = 2x - 1

• y = x + 1

• y = -2x + 5

If two lines have the same slope, what can you say about them?

• The lines intersect at a right angle.

• The lines are either parallel or coincident.

• The lines are always perpendicular.

• The lines have different slopes.

Write a linear equation in standard form that passes through the point (1, 2) and has a slope of -3.

• 4x + 3y = 12

• x - 3y = -5

• 3x + y = 5

• 2x + y = 4

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a linear equation to represent the total cost C for driving m miles.

• C = 50 + 0.20m

• C = 50 + 0.50m

• C = 50 - 0.20m

• C = 0.20m

Find the x-intercept of the equation 2x + 3y = 6.

• 6

• 4

• 3

• 2