Download presentation

Presentation is loading. Please wait.

Published byVictoria Baily Modified over 3 years ago

1
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 a(b - c) = ab - ac Example #1 5(x + 7) 5 x + 5 7 5x + 35

2
Example using the distributive property

3
Another Example

6
Example #2 3(m - 4) 3 m - 3 4 3m - 12 Example #3 -2(y + 3) -2 y + (-2) 3 -2y + (-6) -2y - 6

7
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) = 10 + 3x 4.6(3k - 4) = 18k - 24 Answer Now

8
A term is a 1) number, 2) variable, or 3) a product / quotient of numbers and variables. Example 5 m 2x 2

9
The coefficient is the numerical part of the term. Examples 1) 4a 4 2) y 2 1 3)

10
Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms.

11
Are these like terms? 1) 13k, 22k Yes, the variables are the same. 2) 5ab, 4ba Yes, the order of the variables doesnt matter. 3) x 3 y, xy 3 No, the exponents are on different variables.

12
Combining Like Terms

13
Which of the following is the simplified form of -4x + 7x ? 1.-4 2.3x 3.-3x 4.4 Answer Now

14
The above expression simplifies to: 5a and a are like terms and are like terms

15
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 Expressions 1) 5a + 7a

16
21a + 6b 6) 4d + 6a 2 - d + 12a 2 18a 2 + 3d 7) y 5) 13a + 8a + 6b

17
Which of the following is the simplified form of 5x - 4 - 7x + 14 ? Answer Now 1.-12x + 10 2.-2x + 10 3.2x - 18 4.12x – 18

18
If a triangle has sides 3x - 2, 5 - x and 2x - 5, what is the perimeter of the triangle? Answer Now 1.4x - 2 2.4x + 2 3.5x - 2 4.5x - 7

19
Which figure below models the simplification of - 4x - 5 + 7x + 7 using these tiles? Answer Now 1. 2. 3. 4.

20
Bonus! Which of the following is the simplified form of a + 3a - 4(9 - a) ? Answer Now 1.-36 2.3a - 36 3.8a - 36 4.8a + 36

Similar presentations

OK

Objective The student will be able to: use the distributive property to simplify expressions.

Objective The student will be able to: use the distributive property to simplify expressions.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on art and craft movement Ppt on conventional and non conventional resources Ppt on renewable energy and environment protection Ppt on first conditional exercises Ppt on input and output devices of computer download Ppt on wireless networks Ppt on conservation of environment quotes Ppt on life study of mathematician pascal Ppt on do's and don'ts of group discussion activities Ppt on seasons for kindergarten