Systems of Equations Review

What is the equation of line B?

Solve the following system of equation by substitution.

y = 3x + 3

x + 2y = 20

• (9, 2)

• ( 3, 9)

• (2, 9)

• (4, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the equation of line A?

Solve this system of equations by using elimination.

x + 5y = 19

-x – 2y = -4

• (-6, 5)

• (5, -6)

• (3, -3)

• (-1, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system of equations?

• (12,8)

• (8,12)

• (0,8)

• (12,10)

Tags

CCSS.8.EE.C.8B

When lines have the same slope and same y-intercept there is/are ______________?

• No solution

• One Solution

• Infinite Many Solutions

Tags

CCSS.8.EE.C.8B

When lines have the same slope and different y-intercepts and do not intersect, there is no solution.

• True

• False

Tags

CCSS.8.EE.C.8A

When lines have different slopes and intersect at one point there is/are ___________?

• No solution

• One solution

• Infinite Many Solutions

Tags

CCSS.8.EE.C.8B

Which system of equations would have no solution?

• x + y = 4

  y = -x + 4

• y = 3x + 2

  y = -3x – 2

• 2x + y = 10

  y = -2x + 10

• 3x + y = 8

  3x + y = 9

Answer explanation

Lines that have the same slope and different y-intercepts do not intersect. Therefore, there is no solution.

Tags

CCSS.8.EE.C.8B

At a movie theater, 2 medium drinks and a large popcorn costs $13.85. At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90. Which system of equations could be used to find x, the cost of a medium drink and y, the cost of a large popcorn?

• x + 2y = 13.85

  3x + 2y = 23.9

• 2x + y = 13.85

  3x + 2y = 23.9

• 3x + 2y = 13.85

  2x + y = 23.9

• 2x + y = 13.85

  2x + 3y = 23.9

Tags

CCSS.HSA.CED.A.3