Solving Linear Equations and Graphing

Match the system to the graph. 

• y ≥ -x - 1 and y < x + 4

• y < -x - 1 and y ≥ x + 4

• y > -x - 1 and y ≥ x + 4

• y > -x - 1 and y ≥ x + 4

Match the system to the graph (solution set is the purple area)

• y > -4/5x - 1 and y ≤ 2/3x + 3

• y ≥ -4/5x - 1 and y ≤ 2/3x + 3

• y < -4/5x - 1 and y < 2/3x + 3

• y < -4/5x - 1 and y ≥ 2/3x + 3

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?

• 1.5x+0.5y=78.5
  x+y=87

• 1.5x+0.5y=78.5
  1.5x+0.5y=87

• x+y=78.5
  1.5x+0.5y=87

• x+y=78.5
  x+y=87

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

How many solutions does this system of equations have?

• one solution

• two solutions

• three solutions

• no solutions

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2

• y < 2x - 4
  y < 2

• y > 2x - 4
  y <  2 

• y < 2x - 4
  y <   -2

Solve the system of inequalities by graphing.

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JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

• b + t < 15
  3b + 6t > 66

• b + t > 15
  3b + 6t < 66

• 3b + 6t > 15
  b + t < 66

• 3b + 6t < 15
  b + t < 66

If I have 18 dimes and quarters that are worth $2.25, which system would represent this?

• d + q = 2.25
  .10d + .25q = 18
  

• d + q = 18
  .10d + .25q = 2.25

• 18 d = q
  .10d + .25q = 2.25

• d+ q = 18
  .25d + .10q = 2.25

What is the system for the two rental cars? Car A cost $28 per day plus insurance of $15 and Car B cost $23 per day plus insurance of $18.

• y = 28x + 15
  y = 23x + 18

• y = 28x + 18
  y = 23x +15

• y= 15x + 28
  y = 18x + 23

• 28x + 23 y = 15
  28x + 23y = 18