Inequalities Practical Problems

Dale has $25 to spend at a carnival. If the admission to the carnival is $4 and the rides cost $1.50 each, which inequality represents the greatest number of carnival rides Dale can go on?

• 1.5x + 4 ≤ 25

• 1.5x + 25 > 4

• 4x + 1.5 ≤ 25

• 25x + 1.5 > 4

Which situation can be represented by the inequality 15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

• s < 55

• s > 55

• s ≤ 55

• s ≥ 55

Debbie has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Debbie can buy.

• 60 ≥ 22x - 8

• 22 - 8x ≥ 60

• 22x + 8 ≤ 60

• 22 + 8x ≤ 60

What inequality symbol goes with is at least?

• <

• >

• ≤

• ≥

Benton is going shopping. He wants to spend less than $250. If he bought shirts that are $30 each and a pair of shoes for $120, how many shirts did he buy? Which inequality represents this situation?

• 30x + 120 > 250

• 30x + 120 < 250

• 30x + 120 ≥ 250

• 30x + 120 ≤ 250

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600

• 125x + 55 ≥ 600

• 125x + 55 > 600

• 125x + 55 < 600

At Gas 'n' Wash, gasoline sells for $3 a gallon and a car wash for $12. Sam wants to have his car washed and keep his total purchase under $60. Which inequality represents the maximum amount of gas that he can buy?

• 3x + 12 > 60

• 12x + 60 < 3

• x/3 + 60 > 12

• 3x + 12 < 60

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100

Grace earns $7 for each car she washes. She always saves $25 of her weekly earnings. This week she wants to have at least $65 in spending money. Which inequality represents how many cars she must wash?

• 25 - 7x ≤ 65

• 7x - 25 ≥ 65

• 7x - 65 ≥ 25

• x/25 - 65 > 7