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## Discussion

## Study Guides

## Practice Questions

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## Table of Contents

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### Distributive Property

- Understand all versions of the
*distributive property*. The basic version is: a(b + c) = ab + ac. But a can be on either the left or the right side of the parentheses. This property is used a lot in this course, so you need to understand it well. - Use the distributive property to simplify mental calculations involving multiplication, such as: 18(999) = 18(1000 – 1) = …
- The distributive property applies to algebraic expressions as well as numbers. Use it to simplify algebraic expressions.
- A
*term*is a product of numbers and variables.*Like terms*have the same variables to the same powers.

### Distributive Property

Use the Distributive Property to evaluate:

6(7 + 9)

6(7 + 9)

- 6 ×16

96

Use the Distributive Property to evaluate:

4(12 − 6 + 3)

4(12 − 6 + 3)

- 4(12) − 4(6) + 4(3)
- 48 − 24 + 12
- 24 + 12

36

Use the Distributive Property to evaluate:

2[(13 − 4) ×3]

2[(13 − 4) ×3]

- 2[3(13) − 3(4)]
- 2(39 − 12)
- 2(39) − 2(12)
- 78 − 24

54

Use the Distributive Property to multiply:

11(x + 7)

11(x + 7)

- 11x + 11 ×7

**11**

**x**

**+**

**77**

Use the Distributive Property to simplify:

5x(x − y + 2)

5x(x − y + 2)

- 5x(x) − 5x(y) + 5x(2)

**5**

**x**

^{2}−

**5**

**xy**

**+**

**10**

**x**

Use the Distributive Property to multiply:

6(7 − y)

6(7 − y)

- 6 ×7 − 6(y)

42 - 6y

Use the Distributive Property to simplify:

− 2t(9t − t

− 2t(9t − t

^{2})- − 2t(9t) − 2t( − t
^{2})

−

**18****t**^{2}**+****2****t**^{3}Use the Distributive Property to simplify:

7g

7g

^{2}(g^{3}+ 3g − h)- 7g
^{2}(g^{3}) + 7g^{2}(3g) − 7g^{2}(h)

**7**

**g**

^{5}

**+**

**21**

**g**

^{3}−

**7**

**g**

^{2}

**h**

Use the Distributive Property to evaluate:

8(6 − 7 + 4

8(6 − 7 + 4

^{2})- 8 ×6 − 8 ×7 + 8 ×4
^{2} - 8 ×6 − 8 ×7 + 8 ×16
- 48 − 56 + 128
- − 8 + 128

120

Use the Distributive Property to multiply:

10x(5x/6)

10x(5x/6)

- [10x(5x)/10x(6)]
- [(50x
^{2})/10x(6)]

[(

**50****x**^{2})/(**60****x**)]*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

### Distributive Property

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- Distributive Property Statements 0:23
- Moving Forward
- Rule for Subtraction
- Reverse Order
- Several Numbers
- Example 1: Evaluate Using Distributive Property 2:56
- Example 2: Multiply Using Distributive Property 4:10
- Example 3: Simplify Using Distributive Property 4:59
- Example 4: Simplify Using Distributive Property 7:03

0 answers

Post by Libo Zhang on May 7, 2017

You accidentally wrote 3 instead of 7 in example 1

1 answer

Last reply by: Dr Carleen Eaton

Fri Aug 2, 2013 6:44 PM

Post by Jeremy Canaday on August 1, 2013

Where did the + sign come in on example 4? I got -12y(5th) - (-)18y(3rd) + -21y(3rd) for my answer

0 answers

Post by Arvind Ganesh on May 11, 2013

whichis equall to -12

1 answer

Last reply by: Dr Carleen Eaton

Mon May 13, 2013 12:23 AM

Post by Arvind Ganesh on May 11, 2013

-3*4 is not equall to 12

It is equall to -1*3*4

1 answer

Last reply by: Arvind Ganesh

Wed May 29, 2013 4:46 PM

Post by Arvind Ganesh on February 20, 2013

hi

1 answer

Last reply by: Dr Carleen Eaton

Thu Dec 13, 2012 7:43 PM

Post by jeeyeon lim on December 13, 2012

on example 4, when you were simplifying -3y squares multiplied by 4y cubed, isnt the answer supposed to be -12y to the fifth power?

1 answer

Last reply by: Dr Carleen Eaton

Mon Aug 22, 2011 11:50 PM

Post by Corinne Lee on August 2, 2011

i think in the beginning of the video, she said poperty