Solving Systems of Inequalities in Word Problems

This video tutorial covers solving linear inequality word problems. It includes three examples: buying flour and cornmeal within a budget, planning an advertising budget for a website, and purchasing items during a clothing store sale. Each problem is solved by setting up inequalities, graphing them, and identifying possible solutions. The tutorial emphasizes understanding the constraints and interpreting the solutions in the context of the problem.

What is the cost per pound of flour used for making tortillas?

• $3.00

• $2.50

• $2.00

• $1.50

Tags

CCSS.6.EE.B.7

What is the maximum amount of money to be spent on flour and cornmeal combined?

• $20

• $25

• $30

• $35

How many pounds of cornmeal and flour are required at minimum?

• 5 lbs

• 6 lbs

• 7 lbs

• 8 lbs

What is the slope of the line representing the cost inequality in the tortilla problem?

• -1

• 1

• 3/5

• -3/5

What is the cost of a weekday ad in the newspaper?

• $40

• $30

• $20

• $50

What is the minimum number of ads the website plans to run?

• 30 ads

• 25 ads

• 20 ads

• 15 ads

What is the y-intercept of the inequality representing the total cost of ads?

• 80

• 60

• 40

• 20

Tags

CCSS.HSA.REI.D.12

What combination of weekday and weekend ads is a possible solution given the constraints?

• 60 weekday and 10 weekend

• 20 weekday and 30 weekend

• 50 weekday and 15 weekend

• 30 weekday and 20 weekend

What is the rounded cost of a pair of pants at the clothing store?

• $10

• $9

• $11

• $8

Tags

CCSS.3.NBT.A.1

CCSS.4.NBT.A.3

What is the minimum number of pants that must be purchased?

• 2 pairs

• 4 pairs

• 3 pairs

• 1 pair