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DISTRIBUTIVE PROPERTY!

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by

Alex LauQuan

on 27 September 2013

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Transcript of DISTRIBUTIVE PROPERTY!

DISTRIBUTIVE PROPERTY AND COMBINING LIKE TERMS!
Definition Of Distributive Property:
A property indicating a way in which multiplication is applied to basic operations of two or more variables in which each term inside a set of parentheses can be multiplied by a number outside the parentheses.
EXAMPLE: 3(x+5)
VOCAB WORDS!
Coefficient:
A number or symbol multiplied with a variable or an unknown quantity in an algebraic term, (example 4 in the term 4x, or x in the term x(3 + 7).)
Terms:
A number (constant term), a variable (algebraic term), or a combination of numbers or variables that are added to form an expression.
Given the problem 2x + 5, the terms are 2x and 5.
Given the problem 2x – 5, the terms are 2x and –5.
Definition For Like Terms
Like Terms:
Terms in an expression that have the same variable raised to the same power.
(example:)
4x and 3x = like terms
8x and 2 squared= NON-like terms
Here is a better example of like terms and unlike terms...
Simplify:

Solve, or to work the problem until there are no other smaller answers until there are no more numbers
Distributive Property:
EXAMPLE:

2(5x + 3)
2
(
5x + 3
)

=
2
(
5x
)

+
2
(
3
)
= 10x + 6
step 1.) Take the number to the left.
step 2.) Take the number then times it by each number inside the parenthesis.
(don't forget to add your variable!)
step 3.) Get you answer!
Combining Like Terms
EXAMPLE:
3x
+
2y
+
4x
+
8
+
y
7x
+
3x
+
8
2y + y = 3y
4x + 3x = 7x

(
)
BY: ALEX LAUQUAN
Now we will use the distributive property first, then combine like terms second.
1. Simplify 6(5 + n) – 2n.
6(5 + n) – 2n
distributive Property
6
(5) +
6
(n) – 2n
multiply
30 + 6n - 2n
Combine coefficients 6n – 2n = 4n
30 + 4n
Now you guys try a couple:
Simplify:
1.) 4(3x + 6) + 7x
2.) 6(x + 5) + 3x
3.) 5(2x - 3) + 4x
4.) 7(5n - 1) - 2n
5.) 9c + 12c + 16c - 10a + 16a
6.) 2b - 17a + 18b - 10a - 17a + 10b
BONUS:
-7(22x + 17) + 39x + =6 - 4 + 3 - 54x +7
HOMEWORK OR IN SCHOOL WORK: Distributive Property And Combining Like Terms

Use Distributive Property to simplify each expression.

1.) 7 (1 - 8n)
2.) -8 (b + 3) 6.) -6 (3x - 9)
3.) -6 (9 - 9c) 7.) -10 (a + 2)
4.) -9 (n + 6) 8.) -4 (4 + 3p)
5.) 5(n - 10) - 9

Use Distributive Property AND Combining Like Terms to simplify each expression.


9.) 6 (x + 2) - 2 11.) 7 (3 - 6v)
10.) 4n (7 - 6n) 12.) -5 (a - 6) + 2a

Use Distributive Property AND Combining Like terms to simplify each expression.

13.) 7 (5n - 8) + 6 (4 + 6n) 15.) -4 (1 - 8n) - 4 (8n + 4)
14.) -3 (a + 2) - 3 (5a + 7) 16.) 5 (-3p + 7) + 5 (p - 1)

If you want to try:

17.) 9 (m + 8) + 11 (3m + 4)
18.) 7 (-12x - 3) + 10 (6x + 7)



Which ones are like terms?
4x:7x
3y:7b
1/3xy:-2xy
24b:24c
YES
NO
YES
NO
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