Naming Properties in Algebra Problem Solving

Name the property.
7 + (11 + 10) = (7 + 11) + 10

• Associative Property
• Commutative Property
• Distributive Property
• Identity Property

Which of the following is an example of Commutative Property of Addition ?

• 4 + 2 = 7 + 4

• (9 + 8) + 5 = 9 + (8 + 5)

• 3 + 9 = 9 + 3

• 6 • 1 = 6

The additive identity property is shown in which of the following?

• 4 + (-4) = 0

• 1/4 • 4 = 1

• 0 + 1/4 = 1/4

• 4 • 1 = 4

Are these two expressions equivalent?
5(3+2) and 5•3 + 5•2

• 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

Which of the following shows the Identity Property of Multiplication

• 5 • 0 = 0

• 8 • 3 = 3 • 8

• 12 • 1 = 12

• 8 + 0 = 8

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 exquivalent

Are these two expressions equivalent?
5(3+2) and 5•3 + 5•2

• 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

Are these two expressions equivalent?
(-2+3)+6 = -2+(3+6) 

• 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

71 + 0 = 71 is an example of

• The Commutative Property

• The Identity Property of Addition

• The Associative Property

• The Identity Property of Multiplication

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

• Associative Property
• Commutative Property
• Inverse Property
• Identity Property