Exploring Systems of Inequalities Through Word Problems

What are the two variables identified in the first example problem?

• Flour and Rice

• Flour and Sugar

• Cornmeal and Sugar

• Flour and Cornmeal

What inequality represents the cost constraint in the first example problem?

• 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 of the inequality y ≥ -x + 6?

• 1

• 0

• -6

• 6

In the second example problem, what are the costs per pound for perch and salmon?

• $5 and $2

• $3 and $4

• $4 and $3

• $2 and $5

What is the maximum amount the seafood restaurant owner can spend?

• $240

• $250

• $300

• $200

In the third example problem, what is the cost of an ad in the weekday paper?

• $50

• $20

• $40

• $30

How many ads does the website plan to run at least?

• 20

• 30

• 10

• 15

In the fourth example problem, how many hours does it take to knit a scarf?

• 2 hours

• 10 hours

• 5 hours

• 3 hours

What is the maximum number of hours Mary wants to spend knitting per week?

• 50 hours

• 20 hours

• 30 hours

• 40 hours

In the fifth example problem, what is the price of a pair of pants?

• $8.99

• $3.99

• $7.99

• $5.99