Review of Simplifying Like Terms and Evaluating

Are these like terms? 1) 13k, 22k Yes, the variables are the same. 2) 5ab, 4ba Yes, the order of the variables doesn’t matter. 3) x 3 y, xy 3 No, the exponents are on different variables.

Which of the following is the simplified form of -4x + 7x ? x 3.-3x 4.4 Answer Now

The above expression simplifies to: 5a and a are like terms and are like terms

12a 2) 6.1y - 3.2y 2.9y 3) 4x 2 y + x 2 y 5x 2 y 4) 3m 2 n + 10mn 2 + 7m 2 n - 4mn 2 10m 2 n + 6mn 2 Simplify 1) 5a + 7a

21a + 6b 6) 4d + 6a 2 - d + 12a 2 18a 2 + 3d 7) y 5) 13a + 8a + 6b

Which of the following is the simplified form of 5x x + 14 ? Answer Now 1.-12x x x x – 18

Evaluate p+2q+ 3r given p = 2 q = 4, r = 6 =2+ 2(4) + 3(6) = =28 Review Problem 1

Review 2 Evaluate 3c + 5 if c = 5 and d = 1 4d Solution : 3c + 5 = 3 (5) d 4 (1) = = 20 4 = 5

Review 3 If x=1 and y= -2, which expression has a value of 3? (a) x+y(c) x-y (b) xy (d) y-x

Distribution Property 1/20

Objective:SWBAT use the distributive property to simplify expressions. Title: Distribution Property Essential Question: How do I use the distributive property to simplify expressions? Notebook: Page 80

Real Life Distribution Wal-mart Distribution Center: Houston Texas Pottstown Boyertown

The Distributive Property The process of distributing the number on the outside of the parentheses to each term on the inside. a(b + c) = ab + ac and (b + c) a = ba + ca a(b - c) = ab - acand (b - c) a = ba - ca What is the distributive property?

stopper Period 3

The Distributive Property 5(x + 7) 5 x x + 35 Example 1 : 3(m - 4) 3 m m - 12 Example #2

-2(y + 3) -2 y + (-2) 3 -2y + (-6) -2y - 6 Example #3

Which statement demonstrates the distributive property incorrectly? 1.3(x + y + z) = 3x + 3y + 3z 2.(a + b) c = ac + bc 3.5(2 + 3x) = x 4.6(3k - 4) = 18k - 24 Answer Now

stopper Period 4

Bonus! Which of the following is the simplified form of a + 3a - 4(9 - a) ? Answer Now a a a + 36

D.P. with Addition 3(x + 2) = Use the Distributive Property: 3(x) + 3(2)= Now multiple: 3x + 6 This your answer

Practice 2(x + 5)= 2(5 + x)= x(2 +5)=

D.P. with Subtraction Example: Apply the Distributive Property 3(1 –y)= Multiply, and keep the subtraction sign 3(1) – 3(y) Your answer 3 – 3y

Practice 2(x –5) = 3(5 –x) = (x –5)3 =

Summary Question The most important things to remember when doing the distributive property is …….