Transcript Lesson 2.5 and 2.7 -Distributive Property
Lesson 2.5 and 2.7
-Distributive Property -Combining Like Terms -Square Roots
Set Up Vocabulary!
FRONT BACK 1) Variable 2) Algebraic Expression 3) Power 4) Base 5) Exponent 6) Reciprocal 7) Multiplicative Identity 8) Equivalent Expression 9) Distributive Property 10) Terms 11) Coefficient 12) Constant Term 13) Like Terms 14) Square Root 15) Perfect Square
Vocabulary
Equivalent Expressions
: Two expressions that have the same value Ex: 3(x + 2) and 3(x) + 3(2)
Distributive Property
: A property that can be used to find the product of a number and a sum or difference.
Ex: 3(x + 2) and 3x + 6
Distributive Property Use the distributive property to write and equivalent expression.
6 ( 2
x
1 ) 5 (
x
3 ) ( 3
y
7 ) 2 8 ( 2 4
n
) (
n
9 )( 4 ) 11 ( 2
y
) 4
x
( 2
x
3 ) 2
y
(
y
6 ) 7
m
( 3 4
m
)
More Vocabulary… 2
x
4
x
7
Terms
: The parts of an expression that are added together
Coefficient
: The number part of a term with a variable part
Constant Term
: Has a number part but no variable part
Like Term
: Terms that have the same variable parts
Combining Like Terms Simplify the expression 2
x
5
x
3
x
12
x
y
7
y
n
13
n
4 4
x
7 2
x
3 12
n
8 5 8
n
6 10
n
2 19
w
3
w
Distributing then combining… Simplify the expression 3 ( 2
x
4 ) 5 2 ( 7
x
2 ) 12
x
2 ( 7
x
2 ) 12
x
2
x
4 (
x
6 ) 6
Vocabulary Continued…
Square Root
: If b ² = a, then b is a square root of a.
Perfect Square
: A number that is a square of an integer
Square Roots Evaluate the expression.
9 36 4 144 225 400 100 324