System of Equations Test Review

Based on the equations for each line, determine how many solutions the system would have.

y=-3x+2

y=-3x+2

• Infinite Number of Solutions

• No Solution

• One Solution

Solve the system by elimination.

−7x + 6y = 29

10x + y = 16

• (1,6)

• (−1,−3)

• (−3, 6)

• (1, 3)

Four times a number plus four times another number is 4. Three times the first number plus 4 times the other number is 10. Find the two numbers.

• (-7,-6)

• (-6,7)

• (-6,-7)

• (7,6)

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• the same line

• Intersecting lines

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines

• Same line

• Parallel lines

Based on the equations for each line, determine how many solutions the system would have.

y=2x+3

y=-4x+3

• Infinite Number of Solutions

• No Solution

• One Solution

Based on the equations for each line, determine how many solutions the system would have.

y=5x+3

y=5x-2

• Infinite Number of Solutions

• No Solution

• One Solution

Solve the system by graphing.

y = 4x + 3

y = -x - 2

• (5,6)

• (1,1)

• (1,-1)

• (-1,-1)

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?

• sodas = 52 and nachos=35

• sodas = 52 and nachos = 30

• sodas = 50 and nachos = 35

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

• Sugar Cookies $5

  Oatmeal Cookies $8

• Sugar Cookies $4

  Oatmeal Cookies $8

• Sugar Cookies $4

  Oatmeal Cookies $6

• Sugar Cookies $3

  Oatmeal Cookies $6