Inequality Word Problems

Inequality Word Problems

Mr. Donnelly

Algebra 1

Key Questions

• How do we set up inequality word problems?

Inequality Words

Open Ended

What are some words that mean addition?

Open Ended

What are some words that mean multiplication?

Example

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith withdraw money from his account?

Example

You have taken 4 tests in a class and you want to get an average of a 90. You have gotten an 84, 89, 81 and 96. What do you have to get on the fifth test to have an average of at least a 90?

Multiple Select

You have taken 4 tests in a class and you want to get an average of a 90. You have gotten an 84, 89, 81 and 96. What do you have to get on the fifth test to have an average of at least a 90? How could you write the inequality?

• $$350+x\ge450$$

• $$350+x\le450$$

• $$350-x\ge450$$

• $$84+89+81+96+x\ge450$$

Draw

You have taken 4 tests in a class and you want to get an average of a 90. You have gotten an 84, 89, 81 and 96. What do you have to get on the fifth test to have an average of at least a 90?

Open Ended

Can you get a 90 average on the 5 tests?

Multiple Choice

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel? How would you set this inequality up?

• $$1.75m+.65\ge10$$  

• $$1.75+.65m\ge10$$  

• $$1.75+.65m\le10$$  

Draw

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel? Round nearest mile.

$$1.75+.65m\le10$$

Open Ended

Why do you think in the last problem, we should round the number down instead of rounding up?

Multiple Choice

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.? How would you write the inequality.

• $$200+2w>175$$  

• $$200-2w>175$$  

• $$200-2w<175$$  

• $$175+2w\ge200$$  

Draw

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.?

$$200-2w<175$$

Open Ended

Why do you think in the last problem, we should round the number up instead of rounding down?