Systems of Equations

Solve system of equations
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

Solve system of equations
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?

• 10 horses, 18 chickens
• 16 horses, 12 chickens
• 12 horses, 16 chickens
• 18 horses, 10 chickens

Tags

CCSS.8.EE.C.8C

What is the solution?

• A
• B
• C
• D

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The equations of two lines are:
 2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

• x=8
• x=3
• x=11
• x=5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

• x+y=134
  x+y=120
• 3x+3y=134
  4x+3y=120
• 4x+3y=134
  3x+3y=120
• 7xy=134
  6xy=120

Tags

CCSS.HSA.CED.A.3

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

• coinciding lines (same line) 
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

The first step in solving using the substitution method is __________.

• get x by itself
• get y by itself
• get either variable by itself
• add the equations together

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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. Write and solve a system of equations to find the number of nachos and sodas sold.

• 52 nachos 35 sodas
• 40 nachos and 47 sodas
• 35 nachos 52 sodas
• 40 sodas and 47 nachos

Tags

CCSS.8.EE.C.8C

If a system of equations has infinitely many solutions, what does the graph look like? 

• intersecting lines
• coinciding lines (same line)
• parallel lines
• perpendicular lines

Tags

CCSS.8.EE.C.8A