Regents Review Quiz 2

What is the solution to the system?

• (6, 8)
• (8, 6)
• (-6, 8)
• No solution

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)
• (0,-3)
• (3,0)
• (-3,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4x+8y=20
-4x+2y=-30

• (-7,1)
• (2,-5)
• (-2,5)
• (7,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 
• Infinite number of solutions  
• (−6, 10) 
• (6, 4) 

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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.REI.D.12

What is the solution?

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

Tags

CCSS.8.EE.C.8A

A movie theater sells small and large boxes of popcorn. A small box of popcorn costs $1.50. A large box of popcorn costs $4.00. A total of 25 boxes of popcorn were sold totaling $75.00. How many large boxes of popcorn were sold? 

• 6
• 10
• 12
• 15

Tags

CCSS.8.EE.C.8C

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 true when solving systems of equations by graphing?

• A set of two linear equations can have two answers
• You don't need to give the ordered pair
• The solution is where the two lines intersect

Tags

CCSS.8.EE.C.8B

What is NOT true about solving a system of equations with elimination?

• You should line up the two equations vertically
• The goal is to eliminate one of the variables
• You must decide whether to add or subtract both equations
• You must substitute one variable for another