Two Step Inequality Word Problem

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?

The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?

• 50 + 3.5x < 71

• 71 - 3.5x < 50

• 71 - 3.5x ≤ 50

• 71 + 3.5x < 50

The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?

• 106 - 4x ≤ 70

• 70 + 4x ≤ 106

• 4x - 106 ≥ 70

• 106 - 4x< 70

The members of Carver Middle School's Junior Beta Club need to raise at least $2000 to attend their national convention. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?

• 300x + 10 ≥ 2000

• 10x + 300 ≤ 2000

• 10x + 300 > 2000

• 300 + 10x ≥ 2000

Sylvia 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?

• x ≥ 28

• x ≤ 28

• x > 28

• x < 28

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?

You have $14 in your pocket. A taxi has a ride fee of $5 plus an additional fee of $0.60 per mile, what is the most miles you could ride in the taxi without using all of your money?

(Mileage is rounded up if you stop before a complete mile.)

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

At the end of the day, vegetables at the farmer’s market sell for $3.00 a pound, and a basket costs $5.50. If Taraji wants to buy a basket and spend no more than $10.00 total, how many pounds of vegetables can she buy?

• 3 + 5.5p < 10

• 10 = 5.5 - 3p

• 5.5 + 3p < 10

• 3p + 5.5 ≤ 10

• x < 16 
• x > 16 
• x < 32
• x < 10 

Destinee began with $45 in her account. She saved $15 every week, She now has more than $205.

• 15w + 45 < 205

• 15w + 45 > 205

• 45a + 15 < 205

• 45a + 15 > 205