ALGEBRA 1HELP

Warm Ups

1.) 2(-4)(-6)

2.) s2t ÷ 10 if s = -2 and t = 10

3.) (-3)2 - 42

4.) -52 ⁄ -13

5.) What is the multiplicative inverse of -⅗ ?

ALGEBRA 1HELP

ALGEBRA 1P GAME PLAN

Date 9/12/12 Thursday

Section / Topic

Notes: 1-7 Distributive Property

Goal Students will multiply expressions using the distributive property.

Algebra California Standard

0)

Homework Pg. 48 (1 – 19 odds)

Announcement •Chapter 1 Test Next Wednesday, 9/18

ALGEBRA 1HELP

A term is a…1) number,

2) variable, or

3) a product / quotient of numbers and variables.

Example

5

m

2x2

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The coefficient isthe numerical part of the term.

Examples1)4a

2) y2

3) 5x2

7

5

7

4

1

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Like Terms are terms with the same variable AND exponent.

To simplify expressions with like terms, simply combine the like terms.

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Are these like terms?

1) 13k, 22kYes, the variables are the same.

2) 5ab, 4ba

Yes, the order of the variables doesn’t matter.

3) x3y, xy3

No, the exponents are on different variables.

ALGEBRA 1HELP

Which of the following is the simplified form of -4x + 7x ?

1. -4

2. 3x

3. -3x

4. 4

Answer Now

ALGEBRA 1HELP

Distributive Property

ALGEBRA 1HELP

Which statement demonstrates the distributive property incorrectly?

1. 3(x + y + z) = 3x + 3y + 3z

2. (a + b) c = ac + bc

3. 5(2 + 3x) = 10 + 3x

4. 6(3k - 4) = 18k - 24

Answer Now

ALGEBRA 1HELP

Simplify 3(4m – 7).

3(4m – 7) = 3(4m) – 3(7) Use the Distributive Property.

= 12m – 21 Simplify.

The Distributive PropertyLESSON 1-7

Additional Examples

Quick Check

ALGEBRA 1HELP

Simplify –(5q – 6).

–(5q – 6) = –1(5q – 6) Rewrite the expression using –1.

= –1(5q) – 1(–6) Use the Distributive Property.

= –5q + 6 Simplify.

The Distributive PropertyLESSON 1-7

Additional Examples

Quick Check

ALGEBRA 1HELP

Relate:  –6  times the quantity 7 minus m  

Write: –6 • (7 – m)

Write an expression for “the product of –6 and the quantity 7

minus m.”

–6(7 – m)

The Distributive PropertyLESSON 1-7

Additional Examples

Quick Check

ALGEBRA 1HELP

Use the Distributive Property to simplify 26(98).

26(98) = 26(100 – 2) Rewrite 98 as 100 – 2.

= 26(100) – 26(2) Use the Distributive Property.

= 2600 – 52 Simplify.

= 2548

Quick Check

The Distributive PropertyLESSON 1-7

Additional Examples

ALGEBRA 1HELP

Find the total cost of 4 CDs that cost $12.99 each.

4(12.99) = 4(13 – 0.01) Rewrite 12.99 as 13 – 0.01.

= 4(13) – 4(0.01) Use the Distributive Property.

= 52 – 0.04 Simplify.

= 51.96

The total cost of 4 CDs is $51.96.

The Distributive PropertyLESSON 1-7

Additional Examples

Quick Check

ALGEBRA 1HELP

1. 3(2x - 5) + 2x

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2. 4(3x - 1) – (5x - 3)

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3. -(3x - y) + 4(x – 2y)

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4. 6(x + 2) + (5x - 1) - (3x - 4)

ALGEBRA 1HELP

ALGEBRA 1HELP

Multiple Choice

1. Simplify the expression:

m(3m + 4) - 2m2

A.-2m2 + 3m + 4

B. m2 + 6m

C. 3m2 + 4m

D. m2 + 4m

2. Simplify the expression:

(5p + 1) - (p + 3) + 2(3p -1)

A.10p – 4

B. 12p – 4

C. 10p + 6

D. 3p + 8

ALGEBRA 1HELP

Simplify each expression.

1. 11(299) 2. 4(x + 8) 3. – 3(2y – 7)

4. –(6 + p) 5. 1.3a + 2b – 4c + 3.1b – 4a

6. Write an expression for the product of and the quantity b minus .

3289 4x + 32 – 6y + 21

– 6 – p –2.7a + 5.1b – 4c

47

35

The Distributive PropertyLESSON 1-7

Lesson Quiz

47

35b –