1. Test 3

2. Solve VS Simplify to find the set of values that make a statement true Last week 3x + 2 = 11 3x = 9 x = 3 to perform all indicated operations NOW 3x +2 – x + 11 3x – x + 2 + 11 2x + 13

3. Equation VS Expression A mathematical sentence that shows that two expressions are equivalent Last week 3x + 2 = 11 x = 3 A mathematical phrase that contains operations, numbers, and/or variables NOW 6y z 4 3x +2 – x + 11 2x + 13

4. Expression VS Evaluate to find the value of an algebraic expression by substituting a number for each variable and simplifying Next week 2x + 13, when x = -3 2(-3) + 13= -6 + 13 = 7 A mathematical phrase that contains operations, numbers, and/or variables NOW 6y z 4 3x +2 – x + 11 2x + 13

5. Simplify the Expressions Combine Like Terms, Add the Coefficients 3m + 4m Try these 5n - 2n -7p + 11p

6. Simplify the Expressions Combine Like Terms, Add the Coefficients 3m + 4m 7m 5n - 2n 3n -7p + 11p 4p 3a² + 4a² 5n³ - 2n³ -7x³y² + 11x³y²

7. Simplify the Expressions Combine Like Terms, Add the Coefficients 3m + 4m 7m 5n - 2n 3n -7p + 11p 4p 3a² + 4a² 7a² 5n³ - 2n³ 3n³ -7x³y² + 11x³y² 4x³y²

8. In Review Associative Property changes the grouping Property changes the order Distributive Property multiplies through a parenthesis containing addition or subtraction You ASSOCIATE with your friends in GROUPS Commute means to move or drive (moves to a different spot)

9. Applying Properties In this order… IF NEEDED Distributive Commutative Associative Then simplify

10. Distributive Commutative Associative Then simplify 3(x + 4) – 2 3x + 12 - 2 Not needed 3x + (12 – 2) 3x + 10

11. Distributive Commutative Associative Then simplify 5(x - 3) - 2(x – 7) 5x - 15 - 2x + 14 5x – 2x - 15 + 14 (5x – 2x)+(-15 + 14) 3x - 1

12. Please correct #1-4 at this time

13. Did you get these answers now? 1)4r 2)22y² 3) 5x + 39 4)2x + 38y

14. Perimeter A rectangular desktop has a length of 3(d+2) and width of d-7. Write an EXPRESSION for the perimeter.

15. Perimeter A rectangular desktop has a length of 3(d+2) and width of d-7. Write an EXPRESSION for the perimeter. 3(d+2) d-7

16. Write an EXPRESSION for the perimeter. Distribute the 3 properly. 3d + 6 d-7 d-7 3d + 6

17. Write an EXPRESSION for the perimeter and simplify… 3d + 6 d-7 d-7 3d + 6 3d + 6 + 3d + 6 + d - 7 + d - 7 =

18. Write an EXPRESSION for the perimeter and simplify… 3d + 6 d-7 d-7 3d + 6 3d + 6 + 3d + 6 + d - 7 + d - 7 = 8d - 2

19. Reciprocals, so last week Applying to solutions

20. 2 Step Equation Add or subtract the constant… 3x - 7 = 20 8 + 2y = 24 50 = 17x - 1

21. 2 Step Equation Add or subtract the constant… 3x - 7 = 20 8 + 2y = 24 50 = 17z – 1 Divide by Coefficient 3x = 27 2y = 16 51 = 17z

22. 2 Step Equation Add or subtract the constant… 3x - 7 = 20 8 + 2y = 24 50 = 17z – 1 Divide by Coefficient 3x = 27 2y = 16 51 = 17z

23. 2 Step Equation Add or subtract the constant… 3x - 7 = 20 8 + 2y = 24 50 = 17z – 1 Divide by Coefficient 3x = 27 2y = 16 51 = 17z x = 9 y = 8 3 = z

24. Can someone remind everyone what is the trick to LESS THAN (Not Mia) Write an equation for… Mary is 5 years less than Jean

25. Can someone remind everyone what is the trick to LESS THAN (Not Mia) Write an equation for… Mary is 5 years less than Jean M = J - 5 Less than means subtract from