1. Write an inequality that represents the sentence.
The product of 6 and h is at least -18
The sum of a number and 10 is at most the quotient of the number and 6
Six more than x is less than 13

2. Ricky can ride his scooter 90 miles in 5 hours.
What is his speed in miles per hour?
How long will it take him to travel 270 miles?
At that same speed, how far can he travel in 20 hours?

3. Jaxon saves $50 per week. He started with $140 in his savings account.
Write an equation that will give the amount of his savings, S, for the number of weeks, w, that he saves.
How much will he save after 5 weeks.

4. Jeff Plank rented a booth at the craft fair for $250 to sell some necklaces that he made.
The cost of the materials for each necklace cost $10. Jeff sells each necklace for $25. How many necklaces does he need to sell to make a profit?

5. A campsite charges $20 per day for a site rental and $6 for parking
A campsite charges $20 per day for a site rental and $6 for parking. The total campsite charge, C, is given by
C = 20d + 6 where d is the number of days that the site is rented. Make a table and graph of the equation.

6. A carpet cleaner charges $35 dollars for the first room and $25 for each additional room. A customer does not want to spend more than $115 for having the carpets in the house cleaned.
Write an inequality for the situation.
Solve the inequality from part a.

7. LeBron James is choosing between two cell phone contracts.
Verizon’s plan charges $29.99 per month plus $.40 per minute.
T-Mobile’s plan charges $39.99 per month plus $.35 per minute.
Write equations to represent the cost of each cell phone plan.
How many minutes, m, will it take for the two plans to be the same?

8. You have been offered two jobs, but you must choose the best job
You have been offered two jobs, but you must choose the best job. Your goal is to earn $4000 as quickly as possible to buy a new golf cart. Write equations to represent the income, I, for each job.
Job 1: You get $600 to start and earn $25 an hour.
Job 2: You get $300 to start and earn $40 an hour.
What is the quickest amount of time that you can earn $ for your golf cart?
Which job is better to earn $4000 quicker?

9. Solve the following equations and give a reason for each step.
7 + 6y = 31
5x + 1 = 3(x – 1)
6 – 8n = 5n + 19
4(2a – 1) = -10(a – 5)
4(f – 2) = 4f

10. Solve the following inequalities and graph.1) 2) 3)

11. Solve for the variable.
Solve A = 2(X + Y) for Y
Solve AC – 2D = 4 for D
for X