1. Before:
Solve the following inequalities.

2. During: Solving Inequalities from Word Problems
Learning Target:
I can solve word problems by creating a one-variable inequality.

3. Word Problem Solving Strategies
Step 1: Read through the entire problem.
Step 2: Highlight important information & keywords that you need to solve the problem.
Step 3: Identify variables.
Step 4: Solve. Write your answer in a complete sentence.
Step 5: Check or justify your answer.

4. Inequality Keywords At least, Not less than, Not Under, At Minimum
No more than, At Most, At Maximum, Is not Greater than,
Does not exceed (go over)
More than, Over, Exceeds
Less than, Fewer than, Under

5. One Step Inequalities: I Do
The French club is sponsoring a bake sale. If their goal is to raise at least $140, how many pastries must they sell at $3.50 each in order to meet that goal? Write and solve an inequality.

6. We Do
Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that represents this situation.

7. Two-Step/ Multi-Step Inequalities: I Do
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. How many weeks can Keith withdraw money from his account? Justify your answer.

8. We Do
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a ride. How many miles can Katie travel without exceeding her limit? Justify your answer.

9. You Do
Alex competes in three gymnastics events that are scored on a ten-point scale. Her first two event scores are 8.2 and 9.1. Use an inequality to find the score Alex needs to have at least an 8.7 average.

10. You Do
The maximum weight in an elevator is 1500 pounds. There are 8 people in the elevator with an average weight of 160 pounds. Use an inequality to find the weight for a ninth person that will keep the total weight within safety codes.