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WARM UP 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 4

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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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Page 1: WARM UP

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

Page 2: WARM UP

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

Page 3: WARM UP

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

Page 4: WARM UP

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

Page 5: WARM UP

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

Page 6: WARM UP

2.6 The Distributive Property

Today’s ObjectiveSimplify expressions using the distributive

property.

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DistributionWhat operation happens here?

3(x + 2)

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DefinitionDistributive Property

A number outside parenthesis must be multiplied by everything inside

Ex. 3(x + 2) = 3(x) + 3(2)

=3x + 6Keyword = SHARED

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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.

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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

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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!!!!!

Page 12: WARM UP

Distributive Property• Think of it like this…Ex. 3(2x +3y – 4) = ???

3 (2x + 3y – 4)

Page 13: WARM UP

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!!!!!

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Distributive Property

EXAMPLE 12(x + 5)

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Distributive Property

EXAMPLE 28(1 + 2x)

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Distributive Property

EXAMPLE 35(x + 3)

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Distributive Property

EXAMPLE 4(2x + 6)3

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Distributive Property

EXAMPLE 52(x – 5)