Real World Problems with Systems

Copland competes in 27 swimming events this season. He wins either first place or second place in each event. Copland has 3 more first-place wins than second-place wins.

Which system of equations represents this story?

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

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.

A system has no solution.

We know that the slopes are ​ (a)   and the y-intercepts are ​ (b)   .

• the same
• different
• the same or different

What is the slope in the equation?

• 2

• 2x

• 11

• y

Match the following graphs to their equations.

• y=x+2

• 
• y=-2x+1

• 
• y=-x+2

• 
• y=2x+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