1. Q1W5: Solving Linear Equations With One Variable
Pre-Algebra
Q1W5: Solving Linear Equations With One Variable

2. Objectives I can solve linear equations in one variable.
I can solve linear equations using the distributive property and collecting like terms.
I can give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. 
Note: This is week 1 of a 2 week unit.

3. What is a Linear Equation?
Linear Equation: an equation that gives a straight line when plotted on a graph.

4. Examples of linear equations in one variable
4 – 2k = -5(k+7) (Next Week)
Note: Linear equations have “simple variables.” (NO EXPONENTS.)

5. Inverse Operations

6. Solve using Inverse Operations

7. Practice: Solve for w
1. w + 3 = 4
2. r + 8 = 12
3. y + 2 = 7

8. Solve Using Inverse Operations

9. Practice: Solve for x
1. x – 4 = 20
2. b – 7 = 1
3. n – 2 = 7

10. Practice: Solve for x
5x = 15
7x = 28
5x = 45

11. Two Step Linear Equations (guided)
5x + 4 = 24
x = 21
First, subtract 4; then divide by 5.
First, add 3; then divide by 9.

12. Two Step Linear Equations (practice)
4x + 7 = 15
4x – 8 = 8

13. Distributive Property
Sometimes, we have to use the “distributive property” to solve linear equations.
Example 1: 2(x+7) = 16
Example 2: 2(3x +1) = 20

14. Bonus Problem- Solve
5(2x – 3) = 35 (hint: distribute, then solve)