One and Two Step Inequalities Word Problems

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

Caleb is making lemonade and cookies for the school bake sale. He has 10 cups of sugar. He needs two cups of sugar for lemonade. Each batch of cookies uses 1 1/2 cups of sugar. What is the maximum number of cookie batches he can make? Write the inequality to the problem.

• 1.5x - 2 ≥ 10

• 1.5x - 2 ≤ 10

• 2x - 1.5 ≥ 10

• 2x - 1.5 ≤ 10

Dylon decides to takes his friends to a movie with his $50 of birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. What is the maximum number of friends Dylon could take with him to the movies?

• x ≥ 6

• x ≤ 6

• x ≥ 7

• x ≤ 7

At the end of the day, vegetables at the farmer’s market sells for $3.00 a pound, and a basket costs $5.50. If Carol 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

• 20 = 5.5 - 3p

• 5.5 + 3p < 20

• 3p + 5.5 ≤20

Kate 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

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?

Evelyn 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, which of the following inequalities can be used to determine the amount of weeks it will take her to reach her goal?

• 5x+60 ≥ 200

• 5x+60 ≤ 200

• 60x+5 ≥ 200

• 60x+5 ≤ 200

Calvin is making lemonade and cookies for the school bake sale. He has 10 cups of sugar. He needs two cups of sugar for lemonade. Each batch of cookies uses 1 1/2 cups of sugar. What is the maximum number of cookie batches he can make? Write the inequality to the problem.

• 1.5x - 2 ≥ 10

• 1.5x - 2 ≤ 10

• 2x - 1.5 ≥ 10

• 2x - 1.5 ≤ 10

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

Mrs. Underwood decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

• 20x + 120 ≥ 3

• x/3 + 20 ≤ 120

• 3x + 20 ≤ 120

• 3x + 20 ≥ 120