Real World Systems of Linear Equations

There are 47 people attending a play at an outdoor theater. There are 11 groups of people sitting in groups of 3 or 5. Which system of equations best represents this story?

What is the solution to the system of linear equations from the graph?

• No solution

• Infinite Solutions

• (0,1)

• (1,0)

• 1

Which of the following shows the correct substitution for the system?

• 
• 
• 
• 

The two tables show Calvin and Elaina's earnings per hour. When do they both earn the same amount?

• After 10 hours of work they both earn $250.

• Elaina always earns more.

• Calvin always earns more.

• After 5 hours of work they both earn $125.

A solution to a system tells us when...

• x and y are the SAME for both equations

• x is GREATER than y on one equation

• y is GREATER than x on one equation

• x and y START on the graph

Is this system ready for elimination?

• Yes, the x variables will eliminate.

• Yes, the y variables will eliminate.

• No, you need a multiplier.

• Not enough information.

Which coordinate point is a solution to the system of inequalities?

• (o,o)

• (2,2)

• (1,-3)

• (4,-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?

• (35, 52)

• (18, 69)

• ( 52, 35) 

• (61, 26)

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

• $5

• $10

• $15

• $20

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 $3

• Sugar Cookies $4
  Oatmeal Cookies $8

• Sugar Cookies $2
  Oatmeal Cookies $6

• Sugar Cookies $3
  Oatmeal Cookies $6