Practical Inequalities

Ruby set a goal of saving at least $200 in a savings account. She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal? Solve the inequality/answer the question.

• x ≥ 28

• x ≤ 28

• x > 28

• x < 28

Sam make $10.25 per hour working at Cheddars.  He plans to buy a laptop for $550.  Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)

• 10.25h < 550; less than 54 hours

• 10.25h > 550; greater than 54 hours

• 10.25h ≤ 550; at most 54 hours

• 10.25h ≥ 550; at least 54 hours

Mona is ordering cups for her school.  Company A charges $3.50 for each cup and a one-time starter fee of $14.  Company B charges $0.50 for each trophy and a one-time starter fee of $22.  
Which inequality can be used to find x, the minimum number of cups that can be ordereed so that the total charge at Company A is less than the total charge at Company B?

• 3.5x + 14 < 0.5x + 22

• 3.5x + 14 > 0.5x + 22

• 3.5 + 14x < 0.5 + 22x

• 3.5 + 14x > 0.5 + 22x

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

A parking garage charges $4.50 for each hour you park.  You have $18 in your pocket.  How many hours can you park?

• x > 4

• x < 4

• x ≤ 4

• x ≥ 4

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. SOLVE for minimum number of hours Joan will need to babysit?

• x ≥ 18

• x ≥ 22

• x ≤ 9.5

• x > 18

What inequality symbol goes with is at least?

• <

• >

• ≤

• ≥

The 23 members of the school jazz band are trying to raise at least $1800 to cover the cost of traveling to a competition. The members have already raised $750. Which inequality represents this situation if they are trying to find out how much money each person needs to raise?

• 750 + 23x > 1800

• 750x + 1800 > 23

• 23x + 1800 ≥ 750

• 750 + 23x ≥ 1800

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?