Solving Systems of Inequalities Through Word Problems

What are the variables defined for the flour and cornmeal problem?

• x for pounds, y for dollars

• x for dollars, y for pounds

• x for cornmeal, y for flour

• x for flour, y for cornmeal

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the inequality for the total cost of flour and cornmeal?

• 1.50x + 2.50y < 25

• 1.50x + 2.50y > 25

• 1.50x + 2.50y ≤ 25

• 1.50x + 2.50y = 25

What is the y-intercept for the inequality representing the total cost of flour and cornmeal?

• 25

• 10

• 6

• 0.6

Tags

CCSS.HSA.REI.D.12

In the seafood restaurant problem, what is the inequality for the total weight of fish?

• 4x + 3y < 240

• 4x + 3y ≤ 240

• 4x + 3y ≥ 50

• 4x + 3y > 50

What is the y-intercept for the inequality representing the total cost of perch and salmon?

• 50

• 80

• 60

• 240

Tags

CCSS.HSA.REI.D.12

In the advertising costs problem, what is the inequality for the total number of ads?

• 30x + 50y < 3000

• 30x + 50y ≤ 3000

• 30x + 50y > 20

• 30x + 50y ≥ 20

What is the slope of the line representing the total cost of advertising?

• -3/5

• -1

• -4/3

• -2

Tags

CCSS.8.EE.B.5

In the clothing store problem, what is the inequality for the total cost of pants and shirts?

• 9x + 4y < 60

• 9x + 4y ≥ 2

• 9x + 4y ≤ 60

• 9x + 4y > 2

What is the y-intercept for the inequality representing the total cost of pants and shirts?

• 9

• 2

• 60

• 15

Tags

CCSS.HSA.REI.D.12

In the baseball and soccer games problem, what is the inequality for the total time spent?

• 2x + y ≤ 15

• 2x + y > 8

• 2x + y ≥ 8

• 2x + y < 15