Systems of equations and inequalities

^{What is the solution?}

• x=1

• y=-2

• (1, 2)

• (1, -1)

4x+8y=20

-4x+2y=-30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

4x+8y=20

-4x+2y=-30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Solve this system of equations by graphing.

y = 4x - 2

y = -x + 3

• (-2,-1)

• (-1,-2)

• (1,2)

• (2,1)

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

• 3x + 2y = 315

  2x + 4y = 450

• 3x + 2y = 450

  2x + 4y = 315

• 2x + 2y = 315

  3x + 4y = 450

Tags

CCSS.8.EE.C.8C

The equations of two lines are:

2x-y=4 and y=-2x+8.

What is the value of x and y in the solution for this system?

• x=8

• x=3

• x=11

• y=14

• y=2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which of the following is not a method to solve systems?

• Elimination

• Difference of Squares

• Substitution

• Graphing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses? Assume all chickens have 2 legs and horses have 4 legs.

• 10 horses, 18 chickens

• 16 horses, 12 chickens

• 12 horses, 16 chickens

• 18 horses, 10 chickens

Write the inequalities represented in the picture.

• y > -4/5x - 1 and y ≤ 2/3x + 3

• y ≥ -4/5x - 1 and y ≤ 2/3x + 3

• y < -4/5x - 1 and y < 2/3x + 3

• y < -4/5x - 1 and y ≥ 2/3x + 3