1. Combining Like Terms and the Distributive Property

2. Warm-Up
Solve the following Equation:
7x - 2x x = 21

3. Combining Like Terms Like Terms
"Like terms" are terms whose variables (and their exponents such as the 2 in x2) are the same.
In other words, terms that are "like" each other.

4. Can you combine these?
5x + 3x
7x + 5
3y + 4x
5y + 10y
3 + 5
Yes No

5. 5x + 18 – 8x = 33
Combine Like Terms
Subtract 18 From Both Sides
Divide Both Sides by -3
Solve For The Variable
-3x + 18 = 33
-3x = 15
-3 -3
X = -5

6. –3x – 4 + 2x = 2
-x - 4 = 2 -x - 4 = x = 6 -x = x = -6
Combine Like Terms
Add 4 to both sides
Divide Both Sides by -1
Solve For The Variable

7. Subtract 14 from both sides
7x + 14 – 5x = -8
2x + 14 = x = -22 2x = X = -11
Combine Like Terms
Subtract 14 from both sides
Divide Both sides by 2
Solve for x

8. Exit Slip
Can you combine
7x and 3?
Why or Why not?

9. Warm-Up
Combine
5x -3x-4y+ 3

10. Distributive Property
The Distributive Law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately
Distributive Property- Multiply the term outside the parenthesis with the terms inside the parenthesis.

11. Solve the following equation
3( x + 2 ) = 12 3x + 6 = x = 6 3x = X= 2
Distribute
Combine Like Terms (if needed)
Subtract 6 from both sides
Divide both sides by 3
Solve for x

12. 2 ( x + 7) + x = 20 2 ( x + 7) + x = 20 2x + 14 + x = 20 3x + 14 = 20
3x = 6
x = 2
Distribute
Combine Like Terms
Subtract 14 from both sides
Divide both sides by 3
Solve for x

13. Using the Distributive Property

14. What does it mean to distribute? Explain in your own words.
Exit Slip
What does it mean to distribute? Explain in your own words.