Mastering Linear Equations: Lines, Slopes, and Systems

A line passes through the points (2, 3) and (4, 7). What is the slope of this line?

• 3

• 1

• 4

• 2

Tags

CCSS.8.EE.B.5

Determine the equation of a line that is parallel to y = 2x + 1 and passes through the point (1, 4).

• y = -2x + 4

• y = 2x + 2

• y = 2x + 1

• y = 2x - 1

If two lines are represented by the equations y = -3x + 5 and y = 1/3x - 2, are they parallel, perpendicular, or neither?

• parallel

• intersecting

• coincident

• perpendicular

Tags

CCSS.8.EE.B.6

A car rental company charges a flat fee of $20 plus $0.50 per mile driven. Write a linear equation to represent the total cost (C) in terms of miles driven (m).

• C = 0.50 + 20m

• C = 20 + 0.50m

• C = 20 - 0.50m

• C = 20m + 0.50

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Find the intersection point of the lines represented by the equations y = 2x + 3 and y = -x + 1.

• (1, 5)

• (0, 3)

• (-1, 2)

• (-2/3, 1/3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

A school is planning a field trip and has a budget of $500. If the cost per student is $25, write a linear equation to represent the number of students (s) that can attend the trip within the budget.

• 15s = 375

• 30s = 600

• 25s = 500

• 20s = 400

Tags

CCSS.6.EE.B.7

Two friends are selling lemonade and cookies. The equation for lemonade sales is L = 5x + 10 and for cookies is C = 3x + 15. How many items do they need to sell to have the same revenue?

• 4

• 2

• 6

• 1

A line has a slope of -2 and passes through the point (3, 4). Write the equation of this line in slope-intercept form.

• y = 2x + 4

• y = -2x + 8

• y = -2x - 10

• y = -2x + 10

If the system of equations 2x + 3y = 12 and x - y = 1 is solved, what are the values of x and y?

• x = 2, y = 3

• x = 1, y = 4

• x = 3, y = 2

• x = 4, y = 0

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

A line is perpendicular to the line y = 4x - 2 and passes through the point (2, 1). What is the equation of this new line?

• y = 4x + 1

• y = -1/4x + 9/4

• y = -2x + 5

• y = 1/4x - 1