Inequality Word Problems Challenge

This video tutorial covers solving one-variable inequality word problems using key phrases to determine the correct inequality symbols. It includes examples such as calculating the sum of a number, budgeting for pizza toppings, determining weight loss duration, distributing students on buses, managing a gas budget, and estimating the number of seniors driving. Each example demonstrates setting up and solving inequalities, emphasizing the importance of understanding key terms and operations.

What is the purpose of underlining or highlighting key phrases in inequality word problems?

• To help determine the correct inequality symbol

• To make the problem more difficult

• To make the text look colorful

• To practice handwriting

If the sum of a number and 8 is less than 12, what is the inequality?

• x + 8 ≥ 12

• x + 8 = 12

• x + 8 < 12

• x + 8 > 12

A pizza costs $5 plus $0.25 per topping. If you have $10, what is the maximum number of toppings you can get?

• 30

• 20

• 15

• 25

Lamar weighs 250 pounds and loses 2 pounds per week. How many weeks will it take him to weigh less than 175 pounds?

• 32.5 weeks

• 30 weeks

• 35 weeks

• 40 weeks

If more than 150 students went on a field trip and 10 rode in cars, how many students were on each of the 5 buses?

• 31

• 28

• 30

• 29

In the context of inequalities, what does the phrase 'more than' signify?

• Less than or equal to

• Greater than

• Equal to

• Less than

Sarah has $325 and spends $10 per week on gas. If she wants to have at least $150 left, how many weeks can she buy gas?

• 18 weeks

• 17.5 weeks

• 16.5 weeks

• 15 weeks

If no more than half of the seniors drive and 46 seniors are driving, what is the maximum number of seniors at the school?

• 94

• 92

• 80

• 90

What does the phrase 'at least' indicate in an inequality problem?

• Equal to

• Less than or equal to

• Greater than or equal to

• Less than

When solving inequalities, what must you remember when dividing by a negative number?

• The inequality sign flips

• The inequality sign stays the same

• The equation becomes an equality

• The numbers switch places