Two Variable Inequalities and Systems

Select the correct graph for each inequality.

• A

• B

• C

• D

Select the correct graph for each inequality.

• A

• B

• C

• D

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (1, -1)

• (5, 20)

You are running the concession stand at a basketball game. You sell hot dogs for $2 and sodas for $0.75.  To cover overhead expenses, you need to make more than $180.  Write an inequality to find how many hot dogs and sodas you need to sell. Let x equal the number of hot dogs and y equal the number of sodas.

• y > x + 180

• x + y > 180

• 0.75x + 2y > 180

• 2x + 0.75y > 180

• (1,3)

• (2,1)

• (3,4)

• (6,2)

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 $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. If b represents babysitting and t represents tutoring and she wants to earn at least 66$, which systems of inequality represent the situation?

• b + t < 15

  3b + 6t > 66

• b + t > 15

  3b + 6t < 66

• 3b + 6t > 15

  b + t < 66

• 3b + 6t < 15

  b + t < 66

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

Match the system to the graph (solution set is on the left)

• y ≤ 3x   and  y ≤ -2x + 4

• y > 3x   and  y > -2x + 4

• y < 3x   and  y > -2x + 3

• y > 3x   and  y < -2x + 4

Which system of inequalities is shown?

• y ≥ -x - 1
  y < x + 4

• y < -x - 1
   y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

• y > -x - 1
  y ≥ x + 3

Select the correct graph for each inequality.

• A

• B

• C

• _D