Translate & Identify Variables in Real-Life Inequalities

A store sells notebooks for $3 each. If you want to spend no more than $15, how many notebooks can you buy? Let n be the number of notebooks.

• 4

• 6

• 5

• 3

Maria has x dollars. She wants to buy a video game that costs $25. Write an inequality to represent how much money she needs to have: x ≥ 25.

• x = 25

• x < 25

• x ≥ 25

• x ≤ 25

A class trip costs $50 per student. If there are y students, write an inequality to show the total cost must be less than $500: 50y < 500.

• 50y ≤ 500

• 50y = 500

• 50y < 500

• 50y > 500

Tom is running a fundraiser and needs to raise at least $200. If he has already raised z dollars, write an inequality to represent how much more he needs to raise: z + m ≥ 200.

• z + m = 200

• z + m ≥ 200

• z + m < 200

• m ≥ 200 - z

A recipe requires at least 2 cups of sugar. If you have s cups of sugar, write an inequality to show how much more sugar you need: s + x ≥ 2.

• x ≥ 2 - s

• x < 2 - s

• x = 2 - s

• x ≤ 2 + s

A concert ticket costs $40. If you have b dollars, write an inequality to show how many tickets you can buy without exceeding your budget: 40t ≤ b.

• t ≤ b/40

• b ≤ 40t + 10

• 40t ≤ b

• 40t < b

Lily wants to buy a new phone that costs $300. If she has saved a dollars, write an inequality to show how much more she needs to save: a + m ≥ 300.

• m ≥ 300 - a

• m = 300 - a

• m > 300 - a

• m ≤ 300 + a

A gym membership costs $25 per month. If you want to spend no more than $200 in a year, write an inequality to represent the number of months m you can afford: 25m ≤ 200.

• m ≤ 12

• m ≤ 8

• m ≤ 5

• m ≤ 10

A book costs $15. If you want to buy at least 5 books, write an inequality to show how much money p you need: 15(5) ≤ p.

• p ≤ 75

• p < 75

• p ≥ 75

• p = 75

A farmer has x apples and wants to sell them for at least $100. If each apple sells for $2, write an inequality to represent how many apples he needs to sell: 2x ≥ 100.

• x ≤ 50

• 2x < 100

• x > 50

• 2x ≥ 100