1.1Solving One & Two Step Equations
Assignment
Solve each equation. Explain your steps in words.
Work Explain
1. y– 7 = 8
2. w+ 14 = –8
3. –22 = 11v
4. – = –13
5. = –4
6.
7.
8.
9. 10.
11. 12.
13. 14.
15. Find the perimeter of the square.
16. A video game store has sold 3/5 of their X-Box games, but 10 were returned. Now the store has 62 X-Box games. How many were there originally?
17. Len read ¾ of a graphic novel over the weekend. Monday, he read 22 more pages. If he has read 220 pages, how many pages does the book have?
1.2Solving Equations with Distributive Property
ASSIGNMENT
Solve the equation. Explain your steps.
Work Explain
1.
2.
3.
4.
5.
6.
7. 8.
9. 10.
11. Find the perimeter of the square.
12. A company that replicates DVDs spends $1500 per day in building overhead plus $.80 per DVD in supplies & labor. If the DVDs sell for $1.59 per disk, how many DVDs must the company sells each day before it makes a profit?
13. Fran is making bracelets. Each bead to make the bracelet costs $.89 and the fishing line she uses to string the beads costs $2.99. She wants to know how many beads she should put on her bracelet so the bracelets cost $9.22.
14. The ages of three brothers are consecutive integers with the sum of 96. How old are the brothers?
15. Keisha is babysitting at $8 per hour to earn money for a car. So far she has saved $1300. The car Keisha wants to buy costs at least $5440. How many hours does Keisha need babysit to buy the car?
1.3Literal Equations
ASSIGNMENT
Write the equation in function form. Explain your steps.
1.2.
3.4.
5.6.
7. 8.
9. 10.
11. You are decorating a clean soup can to make a pencil holder. You are going to glue yarn around the top and bottom of the can. The total amount y of yarn (in inches) you need is given by the equation y = 4πr, where r is the radius of the can.
a. Solve the equation for r
b. What is the radius of the can if you need 37.68 inches of yarn? Use 3.14 for π.
Solve the equation:
12. 13. 14.
15. Find the value of x so that the figures have the same perimeter.
1.4Linear Inequalities
ASSIGNMENT
Solve & Graph each inequality. Show you work when solving.
1. 2.
3. 4.
5. 6.
7. 8. 14>-5h+6h
9. 10.
11. 12.
13. 15.
16. Solve for y:2x-3y = 1217. Solve for x: -3(x+5) -2 = 4(x-1)
18. Solve for m:
19. Benito has $6 to spend. A sundae costs $3.25 plus $0.65 per topping. How many toppings can he order?
20. How many bracelets can Caitlin buy for herself and her friends if she wants to spend no more than $22?
1.5Absolute Value Equations
ASSIGNMENT
Solve the equation:
- 2. 3.
4. 5. 6.
7. The circle graph at the right shows the results of a survey that asked, “How likely is it that you will be rich some day?” If the margin of error is 4%, what is the range of the percent of teens who say it is very likely that they will be rich?
8. The 4x400 relay is a race where 4 runners take turns running 400 meters, or one lap around the track.
If a runner runs the first leg in 52 seconds, plus or minus 2 seconds, write an equation to find the fastest and slowest times.
If the runners on the second and third legs run their laps in 53 seconds plus or minus 1 second, write an equation to find the fastest and slowest times.
Suppose the runner of the fourth leg is the fastest on the team. If he runs an average of 50.5 seconds plus or minus 1.5 seconds, what are the team’s fastest and slowest times?
9. Which equation represents the second step of the solution process?
10. Solve for x: 11. Solve for y: 5x – 2y=16
12. Find the value of x so that the figures have the same perimeter.
13. Solve for v: 14. Solve for r:
15. At The Family Farm, you can pick your fruits and vegetables. The cost of a bag of potatoes is $1.50 less than ½ of the price of apples. Write and solve an equation to find the cost of potatoes.