Inequality Problems

Write an inequality to represent the situation. Pet Supplies makes a profit of $5.50 per bag of its natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food must it sell?

• 5.50x ≥ 5225

• 5.50x ≤ 5225

• 5.50x > 5225

• 5.50x < 5225

Tags

CCSS.6.EE.B.8

Solve the inequality from the previous problem. Pet Supplies makes a profit of $5.50 per bag of its natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food must it sell?

Mathematical Equivalence

ON

Tags

CCSS.6.EE.B.8

Write an inequality to represent the situation. Ryan is a wrestler trying to make weight. He currently weighs 200 lbs. If he cuts 2 lbs per week, how many weeks will it take him to weigh less than 175 lbs.?

• 200 - 2w < 175

• 200 + 2w < 175

• 200 - 2w > 175

• 200 + 2w > 175

Tags

CCSS.7.EE.B.4B

Solve the previous inequality. Ryan is a wrestler trying to make weight. He currently weighs 200 lbs. If he cuts 2 lbs per week, how many weeks will it take him to weigh less than 175 lbs.?

Mathematical Equivalence

ON

Tags

CCSS.6.EE.B.8

CCSS.6.EE.B.6

CCSS.6.EE.B.5

Write an inequality to represent the situation. More than 450 students went on a field trip. Ten buses were filled and 5 more students traveled in a car. What is the minimum number of people on each bus?

• 10x + 5 > 450

Tags

CCSS.6.EE.B.8

Solve the previous question. More than 450 students went on a field trip. Ten buses were filled and 5 more students traveled in a car. What is the minimum number of people on each bus?

Mathematical Equivalence

ON

Write an inequality to represent the situation. Amanda rented a bike from Pablo’s Bikes. The store charged her $2 per hour plus a $10 fee. Amanda paid less than $27. What was a maximum number of hours Amanda was riding the rented bike?

• 2h + 10 < 27

• 2h + 10 > 27

• 2h + 10 = 27

• 2h + 10 ≤ 27

Tags

CCSS.7.EE.B.4B

Solve the previous equation. Amanda rented a bike from Pablo’s Bikes. The store charged her $2 per hour plus a $10 fee. Amanda paid less than $27. What was a maximum number of hours Amanda was riding the rented bike?

Mathematical Equivalence

ON

Tags

CCSS.7.EE.B.4B

Write an inequality to represent the situation. Charles is saving $5 each week. He earns an extra $15 by mowing his neighbor’s lawn. How many weeks will he need to save in order to have at least $75?

• 5w + 15 ≥ 75

• 5w + 15 ≤ 75

• 5w + 15 > 75

• 5w + 15 < 75

Tags

CCSS.7.EE.B.4B

Solve the inequality from the previous problem. Charles is saving $5 each week. He earns an extra $15 by mowing his neighbor’s lawn. How many weeks will he need to save in order to have at least $75?

Mathematical Equivalence

ON

Tags

CCSS.6.EE.B.8

CCSS.6.EE.B.6

CCSS.6.EE.B.5

CCSS.6.EE.A.2

CCSS.6.EE.B.7