1. copyright©amberpasillas2010 Review Day!

2. copyright©amberpasillas2010 or

3. copyright©amberpasillas2010 I am going to show you 2 ways to solve this expression. Distributive Property Same answer! Order of Operations Let’s see if it works the same way for subtraction!

4. copyright©amberpasillas2010 I am going to show you 2 ways to solve this expression. Distributive Property Same answer! Order of Operations

5. copyright©amberpasillas2010 So you are probably thinking why use the Distributive Property when Order of Operations is easier? Just watch! Distributive Property Order of Operations You can’t add x + 2 because they are different terms! Why use the Distributive Property ? It helps you simplify when letters are used!

6. copyright©amberpasillas2010 80 + 3 4 4(80 + 3) 4(80) + 4(3) = 320 + 12 = 332 x + 4 5 5(x + 4) 5(x) + 5(4) = 5x + 20 The Distributive Property helps with mental math !

7. Use the distributive property to simplify. 1) 2(x + 8) 2) 3(a - 8) 3) -7(8 - m)4) 4(5- a) 5) (10 - k)56) x(y + z) 2x + 16 3a - 24 -56 + 7m 20 - 4a 50 - 5k xy + xz

8. copyright©amberpasillas2010 Identity Property of Addition Identity remains the same Zero is called the additive identity Identity Property of Multiplication Identity remains the same One is called the multiplicative identity

9. copyright©amberpasillas2010 Name the property shown below. 1) (6 + 3) + 1 = (3 + 6) + 1 2) Commutative Property of Addition Associative Property of Multiplication Flip-Flop Order doesn’t matter Re-Grouping

10. copyright©amberpasillas2010 Terms: Numbers and/or variables tied together by multiplication or division but separated by addition or subtraction. How many terms? 6 terms

11. copyright©amberpasillas2010 Coefficient: The number preceding the variable in a variable term. How many coefficients? 5 coefficients 1 The number IN FRONT OF THE VARIABLE

12. copyright©amberpasillas2010 Constant: The numerical terms. ( NUMBERS ONLY ) How many constants? 1 constant 1 The numbers WITH NO VARIABLES!

13. copyright©amberpasillas2010 You can use what you have learned about properties when combining like terms.

14. copyright©amberpasillas2010 1) 7(x + 4) + 2x 2) 5x + 3(x + 1) 7x + 28 + 2x 9x+ 28 5x + 3x + 3 8x+ 3 Simplify each expression by using the Distributive Property and combining like terms.

15. copyright©amberpasillas2010 Simplify each expression by using the Distributive Property and combining like terms. 3) a + 2(4 + a ) - 1 a + 8 + 2a - 1 3a+ 7 4) 3(b - 2) + 6b 3b - 6 + 6b 9b- 6

16. copyright©amberpasillas2010 Take Out Your Study Guide !!!

17. copyright©amberpasillas2010 Coefficient: The number in front of the variable. Ex: 3x -2y m 1 #7 5 Coefficients Terms: The numbers and variables separated by addition & subtraction. Ex: 3x + 2y – 8 3 Terms Constant: The numerical terms. Ex: 5x + 9 – 6 2 Constants

18. copyright©amberpasillas2010 Like TermsUnlike Terms Like Terms and Unlike Terms Terms in an expression are like terms if they have identical variable parts. #8