1. The Distributive Property
Integrated Mathematics

2. The Distributive Property
Ex. 1) 5(x + 7)
Ex. 3) –2(y + 3)
Ex. 2) 3(m – 4)
Ex. 4) –3(2x – 8)

3. The Distributive Property
Ex. 5) – (y – 5)
Ex. 6) – 6(2a – 3b + 5c)

4. Which Statement Demonstrates the Distributive Property Incorrectly?
3(x + y + z) = 3x + 3y + 3z
(a + b) c = ac + bc
5(2 + 3x) = x
6(3k - 4) = 18k - 24

5. A term is a: 1) number, 2) variable, or
3) a product / quotient of numbers and variables,
Example: 5, m, 2x2

6. Like Terms are terms with the same variable AND exponent.
To simplify expressions with like terms, simply combine the like terms by adding the coefficients.

7. The Coefficient is the number in front of the variable.
Examples 4a y2 5x

8. Are these like terms?
1) 13k, 22k
2) 5ab, 4ba
3) x3, x

9. -2a
12b 10 15 4x
Like Terms 7a
-15b 8y 4x
-9y

10. Which of the following is the simplified form of -4x + 7x ?

11. Simplify 1.) 5a + 7a 2.) 6y – 2y 3.) 4x2y + x2y
4.) 3m2 + 10n2 + 7m2 - 4n2

12. Simplify
5.) 13a + 8a + 6b
6.) 4d d + 12
7.) 2y – 5y² + 4y + 7y²

13. Practice -6k + 7k 12r – 8 – 12 n – 10 + 9n – 3 -4x – 10x - r – 10r
-v + 12v
8x + 11x
4p – 2p
n + 4 – 9 – 5n
12r r - 5

14. Simplify
a + 3a - 4(9 - a)
5(x – 1) – 4(2x – 8)

15. Simplify
-3(y + 7) + 5(3y – 9)
-2x + 7(x - 2)

16. Simplify
5(2x + 3) – 7
-(5x + 2) + 4x – 10