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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.
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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