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WARM UP. 4. MENTAL MATH Use mental math to solve the equation. (Lesson 1.4) 6 + x = 8 x – 7 = 4 8 – x = 4 3x = 15 (x)(2) = 24 X ÷ 6 = 2. WARM UP. 3. MENTAL MATH Use mental math to solve the equation. (Lesson 1.4) 6 + x = 8 x – 7 = 4 8 – x = 4 3x = 15 (x)(2) = 24 X ÷ 6 = 2. - PowerPoint PPT Presentation
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WARM UPMENTAL MATH Use mental math to solve the equation. (Lesson 1.4)
1. 6 + x = 8
2. x – 7 = 4
3. 8 – x = 4
4. 3x = 15
5. (x)(2) = 24
6. X ÷ 6 = 2
4
WARM UPMENTAL MATH Use mental math to solve the equation. (Lesson 1.4)
1. 6 + x = 8
2. x – 7 = 4
3. 8 – x = 4
4. 3x = 15
5. (x)(2) = 24
6. X ÷ 6 = 2
3
WARM UPMENTAL MATH Use mental math to solve the equation. (Lesson 1.4)
1. 6 + x = 8
2. x – 7 = 4
3. 8 – x = 4
4. 3x = 15
5. (x)(2) = 24
6. X ÷ 6 = 2
2
WARM UPMENTAL MATH Use mental math to solve the equation. (Lesson 1.4)
1. 6 + x = 8
2. x – 7 = 4
3. 8 – x = 4
4. 3x = 15
5. (x)(2) = 24
6. X ÷ 6 = 2
1
MENTAL MATH Use mental math to solve the equation. (Lesson 1.4)
1. 6 + x = 8
2. x – 7 = 4
3. 8 – x = 4
4. 3x = 15
5. (x)(2) = 24
6. X ÷ 6 = 2
WARM UP 0
2.6 The Distributive Property
Today’s ObjectiveSimplify expressions using the distributive
property.
DistributionWhat operation happens here?
3(x + 2)
DefinitionDistributive Property
A number outside parenthesis must be multiplied by everything inside
Ex. 3(x + 2) = 3(x) + 3(2)
=3x + 6Keyword = SHARED
Distributive PropertyThink of it like this…
Ex. 3(x + 2) = ???
3(x + 2)
3x + 32
** 3 is the candy.We must share the candy with everyone.That is, we must share 3 with x & 2.
Distributive Property• Think of it like this…Ex. -10(x + 9) = ???
-10(x + 9)Uh oh! Don’t lose the negative sign as you distribute the spotlighted number!!
-10(x) + -10(9)-10x + -90
-10x - 90
Distributive Property• Think of it like this…Ex. -5(x – 7) = ???
-5 (x – 7)Make sure you know where your negative signs are in this problem!!!!!
Distributive Property• Think of it like this…Ex. 3(2x +3y – 4) = ???
3 (2x + 3y – 4)
Distributive Property• Think of it like this…Ex. -5(2x – y) = ???
-5 (2x – y)Make sure you know where your negative signs are in this problem!!!!!
Distributive Property
EXAMPLE 12(x + 5)
Distributive Property
EXAMPLE 28(1 + 2x)
Distributive Property
EXAMPLE 35(x + 3)
Distributive Property
EXAMPLE 4(2x + 6)3
Distributive Property
EXAMPLE 52(x – 5)