Systems of Equations

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions

Caitlin won a bag full of money! She has 49 bills in all. She counts $1,430. There are $20 dollar bills and $50 dollar bills. How many of each bill does Caitlin have?
WRITE a system where T= # of $20 and F = # of $50.

• T + F = 1430
  20T + 50F = 49
• T+ F = 49
  10T + 5F = 1430 
• T + F = 49
  20T + 50F  = 1430
• T + F = 49
  T + F = 1430

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

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

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

Solve this system by graphing (Hint: Desmos would be a great option here) 
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Solve this system by graphing (Hint: Desmos would be a great option here) 
x² - y = 1
y=3

• (-2,3)
• (2,3)
• (2,3) and (-2, 3)
• stop the madness

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87
• 1.5x+0.5y=78.5
  1.5x+0.5y=87
• x+y=78.5
  1.5x+0.5y=87
• x+y=78.5
  x+y=87

Tags

CCSS.HSA.CED.A.3

Write the inequalities represented in the picture.

• y ≤ 3x   and  y ≤ -2x + 4
• y > 3x   and  y > -2x + 4
• y < 3x   and  y > -2x + 4
• y > 3x   and  y < -2x + 4

Solve for x and y by testing these options into the sytem
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12