Intro to Algebraic Properties

Determine which choice best shows the commutative property of multiplication.

• 1x1=1

• (1x7)+(1x6)=

• 1x7=7x1

• (1x7)x6=1x(7x6)

Simplify the expression:
8(5 + w)

• 40 + w

• 40+8w

• 85 + 8w

• 13+8w

3(2c - 5)

• 6c - 15

• 6c + 15

• 6c + 15

• -6c - 15

Which property is represented below?
15(1) = 15

• Identity

• Commutative

• Associative

• Inverse

Which is an example of the identity property of addition?

• 5 + 1 = 6

• 5 - 0 = 5

• 5 + 0 = 5

• 5 + 2 = 5

Complete the equation using the identity property.

5(1) = ___

• (1)5

• (5)1)

• 5

• 1

Finish the equation using the zero property

a(0) = ___

• a

• 1

• 0

• b

For any numbers a, b, and c, if a = b and b = c, then a = c.

• Transitive Property         

• Symmetric Property

• Reflexive Property

• Substitution Property

If 3a = 2b, and 2b = 4c, then _____

• Letters are hard...

• 2b = 3a

• 3a = 4c

• 4c = 2b

Which property is this? If a = b and a + 3b = 20, then b + 3b = 20.

• Transitive

• Distributive

• Substitution

• Commutative