INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith

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• ## Related Books

### 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 ×16
96
Use the Distributive Property to evaluate:
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[3(13) − 3(4)]
• 2(39 − 12)
• 2(39) − 2(12)
• 78 − 24
54
Use the Distributive Property to multiply:
11(x + 7)
• 11x + 11 ×7
11x + 77
Use the Distributive Property to simplify:
5x(x − y + 2)
• 5x(x) − 5x(y) + 5x(2)
5x25xy + 10x
Use the Distributive Property to multiply:
6(7 − y)
• 6 ×7 − 6(y)
42 - 6y
Use the Distributive Property to simplify:
− 2t(9t − t2)
• − 2t(9t) − 2t( − t2)
18t2 + 2t3
Use the Distributive Property to simplify:
7g2(g3 + 3g − h)
• 7g2(g3) + 7g2(3g) − 7g2(h)
7g5 + 21g37g2h
Use the Distributive Property to evaluate:
8(6 − 7 + 42)
• 8 ×6 − 8 ×7 + 8 ×42
• 8 ×6 − 8 ×7 + 8 ×16
• 48 − 56 + 128
• − 8 + 128
120
Use the Distributive Property to multiply:
10x(5x/6)
• [10x(5x)/10x(6)]
• [(50x2)/10x(6)]
[(50x2)/(60x)]

*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.

### 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