Algebra II

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

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.8.EE.C.8B

Michelangelo decided to order Pizza Hut last night. He purchased 3 pizzas and 2 orders of breadsticks for a total of $29.50. Donatello ordered 2 pizzas and 3 orders of breadsticks last Sunday for a total of $23. Set up a system. Let "p" represent the price per pizza and "b" represent the price of an order of breaksticks.

• 3p + 2b = 29.50
  2p + 3b = 23

• 3p + 2b = 23
  2p + 3b = 29.50

• 3b + 2p = 29.50
  2b + 3p = 23

• 5bp = 29.50
  5bp = 23

Tags

CCSS.HSA.CED.A.3

Solve the system.

• (3, -2, 4)

• (2, -3, 1)

• (-3, 2, -1)

• Infinitely many solutions

What is the value of y in the solution to this system of equations? 3x - 5y = 22 y = -5x + 32

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

Tags

CCSS.8.EE.C.8B

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

Based on the table, which function can best be used to model this situation?

• h(t) = 99t² + 858

• h(t) = -4.9t² + 295t + 0.6

• h(t) = -4.9t² + 295t + 2

• h(t) = 99t² + 1,470.3

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (1, -2)

• One Solution: (-2, 1)

Tags

CCSS.8.EE.C.8B

How many solutions do parallel lines have?

• One Solution

• No solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A