1. True or False. It is possible to convert 1 kilometer to cups. Explain why or why not.

2. The height of Mt. Everest is 8850 meters. Find the approximate height of this mountain to the nearest foot.

Read through Chapter 8 sections 1 and 2. Define the following mathematical terms.

1. Linear equation in one variable

2. Solution of a linear equation

3. Addition property of equality

4. Multiplication property of equality

Section 8.1: Linear Equations; The Addition and Multiplication Properties of Equality

Examine the following problem without solving!

Dog Run—The length of a rectangular dog run is two feet more than twice the width, w, and the perimeter of the dog run is 30 feet. Solve the equation 2w+22w+2=28 to find the width, w, of the dog run. Then find the length 2w+2.

3. Explain what it means for two sides of an equation to be equal.

4. How do you determine if a number satisfies an equation?

5. Do the following values satisfy the equation 2x+3=17?

1. x=-3

2. x=4

3. x=7

6. Explain how to use the Addition Property of Equality to solve an equation.

7. Using this property, solve the following equations: Check your solutions!
   1. x-6=11

2. n+43=65

3. -8+a=4

4. -3=12+c

5. 54+x=74

8. Explain how to use the Multiplication Property of Equality to solve an equation.

Extra Credit: Example 5 shows two different approaches to solve the equation. Explain how the methods are similar and why they both work!

9. Using these steps, solve the following equations: Check your solutions!
   1. -6z=18

2. 8p=16

3. 6z=15

4. x3=-7

e. 15=54n

10. Why is x3=13x ? Hint---It is!

Section 8.2: Linear Equations; Using the Properties Together

11. Explain how to use both properties to solve and equation. Which property must be done first? The answer to the second question is the password for Unit 2 Computational Assignment.

12. Now using these steps, solve the equations, and check your solutions.

1. 3x-15=21

2. 54n+2=17

3. 239a-12=6a-11

13. Before using the Addition or Multiplication Properties of Equality to solve an equation, what other steps must you do first? (Hint: ex. 5 and 6 and steps on pg. 545.)

14. Using these steps, solve the following equations. Check your solutions!

1. 8a-3=4a+7

2. -3y+4+4y=13-27

3. 4x+3=6x+5

4. 34m+1-4=-13

5. 124-6n+5=3

6. 132z+9+z3=5

15. Explain the difference between 6x-2x+1=_____ and 6x-2x+1=6 .

16. Now solve the following equations:

1. The length of a rectangular dog run is two feet more than twice the width, w, and the perimeter of the dog run is 30 feet. Solve the equation 2w+22w+2=28 to find the width, w, of the dog run. Then find the length 2w+2.
   
   

2. 3n+52=4+4n+24