Two-Step Inequalities Word Problems - Math 7

Front

Kate needs $100 to buy a graphing calculator. She earns $5 per hour babysitting and received $10 from her Father. Which inequality represents the minimum hours she needs to babysit?

Back

5x + 10 ≥ 100

Front

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.

Back

1.5x - 2 ≤ 10

Front

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.)

Back

x < 15

Front

Owen has $50 for movie tickets. Adult ticket: $9.75, Child ticket: $6.25. He must take one adult. What is the maximum number of friends Owen could take?

Back

6

Front

Taraji wants to buy a basket for $5.50 and spend no more than $10.00 total. Vegetables cost $3.00 per pound. How many pounds can she buy?

Back

3p + 5.5 ≤ 10

Front

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

Back

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?

Front

When do you flip an inequality symbol?

Back

When you multiply or divide by a negative number.

Front

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?

Back

3x + 20 ≤ 120

Front

DJ charges $125 per hour + $55 for assistant. Total cost < $600. Inequality for max hours?

Back

125x + 55 < 600

Front

Aaron needs at least $240 to buy new headphones. He has already saved $30. He earns $14 per car that he washes. Write the inequality to the problem.

Back

14x+30 ≥ 240