Systems of Equations Word Problems Graphing

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

How many solutions will this system have?

• No Solution

• Infinitely Many Solutions

• No Clue

• One solution

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

Solve the following system by graphing.  What is the solution?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

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

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

• y = 9.65 + x

  y = 8.40 + x

• y = 9.65x + 43

  y = 8.40x + 58

• y =9.65x

  y = 8.40x

• y = 9.65x - 43

  y = 8.40x - 58

Maggie has $15.00 and will begin earning an allowance of $10.00 per week. Jess has $5.00 and will begin earning an allowance of $15.00 per week. When will Maggie and Jess have the same amount of money and how much money will they each have?

• After 2 weeks, they will each have $60.00.

• After 2 weeks, they will each have $35.00.

• After 4 weeks, they will each have $60.00.

• After 4 weeks, they will each have $35.00.