Review Ch.6 Lessons 5-7

Review Ch.6 Lessons 5-7

Lesson 5

Properties

Commutative Property

The order in which two numbers are added or multiplied does not change the sum or product

Associative Property

The way in which three numbers are grouped when they are added or multiplied, does not change the product or sum.

Identity Property

The sum of a number and 0 is that number.

The product of a factor and 1 is the factor.

Multiple Choice

Which of the following properties describes the mathematical expression? 
5 * 1 = 5

• Associative
• Distributive
• Commutative
• Identity

Multiple Choice

This property tells us that you can move the parentheses when you are multiplying or adding and the answer will not change.

• Distributive

• Associative

• Commutative

• Identity

Multiple Choice

Associative Property states that for 3 or more numbers, their sum or product is always the same, regardless of their grouping.

• True

• False

Multiple Choice

Which property is shown here? 3+0=3

• Identity Property

• Distributive Property

• Commutative Property

• Associative Property

Multiple Choice

Are these two expressions equivalent?

6 + 3 and 3 + 6

• Yes, because of the associative property

• Yes, because of the commutative property

• Yes, because of the identity property

• No, these two expressions are not equivalent

Multiple Choice

Are these two expressions equivalent?

2 • (3 • 7) and (2 • 3) • 7

• Yes, because of the associative property

• Yes, because of the commutative property

• Yes, because of the distributive property

• No, these two expressions are not equivalent

Multiple Choice

Which property is used in the following expression?

(5 + 7) + 8 = 5 + (7 + 8)

• Identity Property

• Distributive Property

• Commutative Property

• Associative Property

Multiple Choice

Which property is used in the following expression?

(a x b) x c = a x (b x c)

• Identity Property

• Commutative Property

• Associative Property

• Distributive Property

Multiple Choice

Which is an example of the Associative Property of Addition?

• 9 + 0 = 9

• (3 + 8) + 5 = 3 + (8 + 5)

• 4 + 3 = 3 + 4

• 4 + (2 + 9) = (4 + 9) + 2

Multiple Choice

Which is an example of the Commutative Property?

• (4 + 8) + 7 = 4 + (8 + 7)

• 5 + 2 = 3 + 5

• 9 x 1 = 9

• 6 + 4 = 4 + 6

Lesson 6

Distributive Property

Distributive Property Review

a(b + c)

ab + bc... remember the outside number multiplies everything inside the parenthesis!

Distributive Property Review

Let's take a look at this problem:

3(a + 5)

[Step 1] 3 times a = 3(a)= 3a

[Step 2] 3 times 5= 3(5)= 15

[Step 3] Put it all together 3a + 15... all done!

Multiple Choice

How can 5(3 +2) be expressed using the distributive property?

• 5(3) x 5(2)

• (5 x 3) x (5 x 2)

• 5(3) + 5(2)

• (5 + 3) x (5+2)

Multiple Choice

How can 4(3 +9) be expressed using the distributive property?

• 4(3) + 4(4 + 9)

• 4(3) + 4(9)

• 4 + 9 = 9 + 4

• (4 + 3) x (4 + 9)

Multiple Choice

Solve.

4(5 + x)

• 20 + 4x

• 5 + 4x

• 20 + x

Multiple Choice

Solve: 6(m - 5)

• 6 - 30

• m - 5

• 6m - 30

• 6m + 30

Lesson 7

Equivalent Expressions

Equivalent Expressions

3x + 2x + 8 = 5x + 8

Multiple Choice

Simplify
14(b – 10).

• 4b
• b – 140
• 14b – 140
• 14b – 10

Multiple Choice

Simplify

5(-2t)

• 10

• 10t

• -10t

• 15

Multiple Choice

Simplify:

2x + 3x + 6

• 36x

• 5x + 6

• 11x + 6

• 11x

Multiple Choice

Simplify:

5 + 8x + 4

• 17x

• 8x + 9

• 9x + 8x

• 13x + 4

Multiple Choice

In the given expression, the v and the r are called the __________________.

15v - 13r

• terms

• exponents

• coefficients

• variables

Multiple Choice

In the given expression, the 4 and the 8 are the ________________ in the expression.

4r + 8u

• variables

• terms

• coefficients

• exponents