1. Determine the solution to the inequality (-2x) + 5 > (-13) and graph the solution.

2.  Solve the following equation?

3(y – 5) = 8y – 10

3.  Each week, Adam earns $0.50 for each family he delivers papers to. If Adam wants to earn $100 each week, write an equation that will determine the number of families Adam should deliver papers to in order to reach his goal of $100?

4.  Solve x10 + 15 = 12 for the variable x.

5.  Mary is trying to earn at least $300 so she can buy a new bike. Mary is earns $30 plus $6 per hour at her job. Write an inequality that represents the number of hours, h, Mary needs to work earn at least $300?

6.  Susan gets a weekly allowance of $8 plus an extra $1.50 for each time she walks the family dog. If Susan earned an allowance of $29 last week, which equation can be used to determine how many times she walked the dog?

7.  Solve the equation.

8(x – 8) = 4(x + 2.5)

8.  Samy plans to join a gym. A gym membership costs $475 for the year and each exercise class costs an additional $10. Samy does not want to spend more than $1000 on the gym for the year. What is the maximum number of exercise classes Samy can take in one year?

  1. Solve 3x + 22 = –10 for x.

10.  To solve the equation 0.8x + 250 = 1,150 for x, which operation should be performed first?

11.  Solve the equation.

12y + 5 – 2y = -35

12.  Solve the following Equation:

3x + 3x –8 = 6x + 6

13.  Solve the equation.

4m + 6 = 8(2m + ½)

14.  Steve makes $10.40 an hour babysitting his younger brother plus $4.99 for taking out the trash. If Steve babysits for 8 hours, give a reasonable estimate for how much Steve will make.

  1. A bookstore is having a sale. All paperback books are $0.50 and all hardcover books are $7.50. Mickey has $25. He wants to buy one hardcover book and as many paperback books as he can. Write an inequality that represents this situation, where p represents the number of paperback books Mickey can buy?
  1. A middle school receives $8.90 for each ton of paper it collects for a school paper drive. If the school collects 3 tons of paper in January, 5 in February, and 8 in March, how much money will it make in total?

17.  Solve 2.4y = (-48) for y.

  1. Last week, Bill worked 15 hours at UDF for $7.25 per hour and worked 11 hours cutting grass on his family farm $6.25 per hour. How much did Bill earn in total?

CR#1

Joshua made a deal with his parents to get a weekly allowance so he received some money for his allowance this week. He also received $20 for cutting the neighbor’s grass. Joshua deposited two-thirds of the money he received into a savings account. If the deposit was for $40, then write and solve an equation to determine how much money Joshua got for his allowance this week.

CR#2

Bradley knows that there are three types of equations. Equations with one solution, no solution and infinite solutions.

a.  Write an equation with variables on both sides that has no solutions. Explain why it has no solutions.

b.  Write an equation with variables on both sides that has infinite solutions. Explain why it has infinite solutions.

c.  Write an equation with variables on both sides that has one solution. Explain why it has one solution.