Pair of Linear Equations in Two Variables

Does the following system have One Solution, No Solution, or Infinite Solutions.

y = 4x + 8

y = -5x + 3

• One solution

• No solution

• Infinite solution

• many solutions

Tags

CCSS.8.EE.C.8B

Parallel lines have the same slope with a different y-intercept and how many solutions?

• One

• No

• Infinite

• Many

Shreyas graphed two lines in order to find the solution to a given system of equations.Then the solution is......

• (-1, 4)

• (1, -4)

• (-4, 1)

• (4, -1)

Solve for x and y

y = 2x + 1

y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

There are 50 Donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174

  4d + 2c = 50

• d + c = 50

  4d + 2c = 174

• d + c = 50

  2d + 4c = 174

• d + c = 174

  2d + 4c = 50

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.HSA.REI.C.6

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

• (0,3)
• (3,0)
• No solution(parallel lines)
• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

Which of the following are ways to solve systems of equations? 

• Graphing
• Substitution
• Elimination
• All of the above

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Determine if (4, 1) is a solution for the system of equations.

y = -x + 5

y = 2x - 7

• yes

• no

• do not know

• may be

Anjali finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. How long does it take her to do a haircut?

3x + 2y = 315

2x + 4y = 450

• 45 minutes

• 90 minutes

• 60 minutes

• 30 minutes