Graphing Linear System of Inequalities Word Problems

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100

Which of the following system of inequalities represents the graph above?

• 3x-y<-4

  2x+y<-3

• 3x-y>-4

  2x+y>-3

• 3x-y≤-4

  2x+y≤-3

• 3x-y≥-4

  2x+y≥-3

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40

Which system of inequalities represents the graph shown above?

• x+y<-2

  5x+y>2

• x+y>-2

  5x+y<2

• x+y≤-2

  5x+y≥2

• x+y≥-2

  5x+y≤2

The shaded region is the solution to which system of inequalities?

• A

• B

• C

• D

Write the inequality

• y>-5x-3

• y≥-5x-3

• y<-5x-3

• y≤-5x-3

The shaded region represents the solution set to which of the following inequalities

• A

• B

• C

• D

The overlap shaded region is the solution set to which system of inequalities?

• A

• B

• C

• D

The overlap shaded region is the solution to which system of inequalities?

• A

• B

• C

• D

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

• x + y ≥ 6
  32x + 20y ≤ 150

• x + y ≥ 632
  x + 20y ≥ 150

• x + y ≤ 6
  32x + 20y ≤ 150

• x + y ≤ 6
  32x + 20y ≥ 150