Equivalent Expressions Review

The grouping of factors or addends does not change the product or sum; a ∙ (b ∙ c) = (a ∙ b) ∙ c and a + (b + c) = (a + b) + c

• Commutative Property
• Associative Property
• Distributive Property
• Zero Property

Tags

CCSS.3.OA.B.5

The product of any number and 0 is 0; a ∙ 0 = 0

• Distributive Property
• Identity Property of Addition
• Identity Property of Multiplication
• Zero Property

Tags

CCSS.3.OA.B.5

The order of factors or addends does not change the product or sum; a ∙ b ∙ c = c ∙ a ∙ b and a + b + c = c + a + b

• Commutative Property
• Associative Property
• Distributive Property
• Zero Property

Tags

CCSS.3.OA.B.5

The product of any number and 1 is itself; a ∙ 1 = a 

• Zero Property
• Identity Property of Addition
• Identity Property of Multiplication
• Commutative Property

Tags

CCSS.3.OA.B.5

a(b + c) = ab + ac AND a(b – c) = ab –ac 

• Zero Property
• Associative Property
• Identity Property of Addition
• Distributive Property

Tags

CCSS.6.EE.A.3

The sum of any number and 0 is itself; a + 0 = a

• Identity Property of Addition
• Commutative Property
• Zero Property
• Identity Property of Multiplication

Tags

CCSS.1.OA.B.3

Evaluate the expressions to determine if they are equivalent. What are the values and yes or no?
6a + 3 and 3 ⋅ 5 - a if a = 1

• 14 and 14; yes
• 9 and 14; no
• 9 and 12; no
• 9 and 15; no

Tags

CCSS.6.EE.A.2C

Evaluate the expressions to determine if they are equivalent. What are the values and yes or no?
m² + 15 ÷ b and 2m + b + 2 if m = 3 and b = 5

• 12 and 12; yes
• 20 and 15; no
• 6 and 10; no
• 15 and 15; yes

Tags

CCSS.6.EE.A.2C

Evaluate the expressions to determine if they are equivalent. What are the values and yes or no?
3x - x² and 4x ÷ 4 if x = 2

• 4 and 2; no
• 2 and 2; yes
• 1 and 1; yes
• 4 and 1; no

Tags

CCSS.6.EE.A.2C

Why are the expressions b + a + 3 and 3 + b + a equivalent?

• Associative Property
• Commutative Property
• Identity Property of Addition
• Distributive Property

Tags

CCSS.6.EE.A.3