Linear Systems

-4x-2y=-12
4x+8y=-24

• (5,6)
• (6,-6)
• (6,-2)
• (4,-3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

Tags

CCSS.8.EE.C.8A

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

Tags

CCSS.8.EE.C.8B

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

Tags

CCSS.HSF-IF.C.7A

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

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If E=Erin's age and A=Alex's age, choose the system that matches the situation.

• E + A = 33

  A = 2E - 3

• E + A = 33

  E = 2A - 3

• E + A = 33

  E = 3 - 2A

• E + A = 3

  E = 33 - 2A

Tags

CCSS.HSA.CED.A.3

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

• 4A + 6B = 3

  13.5A - 13B = 6

• A + B = 4

  A - B = 6

• 4A + 6B = 13

  3A + 7B = 13.5

• 4A - 6B = 13

  3A - 7B = 13.5

Tags

CCSS.8.EE.C.8C

You are trying to decide on a university to attend. Your choices are Texas A&M and the University of Texas.  The University of Texas charges you a flat rate of $2500 plus $250 per semester hour.  Texas A&M charges you a flat rate of $1000 plus $400 per semester hour.

• y=2500x+250
  y=400x+1000
• y=400x+1000
  y=250x+2500
• y=1000x+400
  y=250x+2500
• y=2500x+250
  y=1000x+400

Tags

CCSS.8.EE.C.8C

Is (5, 3) is a solution of the system:
2x -y = 7
x + y = 2

• Yes, because it makes both equations true.
• No, because it doesn't work with the second equation.
• No, because it doesn't work with the first equation.
• No, because it doesn't work with either equation.

Tags

CCSS.HSA.REI.C.6

• (-5, -4)

• (-4, -5)

• (-5, 46)

• (5, 46)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6