Name _______________________

Define the variables and translate the following expressions into equations.

1. Peter’s Lawn Mowing Service charges $10 per job and $0.20 per square yard. Peter earns $25 for a job.

2. Renting the ice skating rink for a birthday party costs $200 plus $4 per person. The rental costs $324 in total.

3. Renting a car costs $55 per day plus $0.45 per mile. The cost of the rental is $100.

4. Nadia gave Peter 4 more blocks than he already had. He already had 7 blocks.

Define the variables and translate the following expressions into inequalities.

5. A bus can seat 65 passengers or fewer.

6. The sum of two consecutive integers is less than 54.

7. An amount of money is invested at 5% annual interest. The interest earned at the end of the year is greater than or equal to $250.

8. You buy hamburgers at a fast food restaurant. A hamburger costs $0.49. You have at most $3 to spend. Write an inequality for the number of hamburgers you can buy.

Check that the given number is a solution to the corresponding equation.

10.

11.

12.

Check that the given number is a solution to the corresponding inequality.

13.

14.

15.

16.

Solve each problem.

17. The cost of a Ford Focus is 27% of the price of a Lexus GS 450h. If the price of the Ford is $15,000, what is the price of the Lexus?

18. On your new job you can be paid in one of two ways. You can either be paid $1,000 per month plus 6% commission of total sales or be paid $1,200 per month plus 5% commission on sales over $2,000. For what amount of sales is the first option better than the second option? Assume there are always sales over $2,000.