Identifying Equivalent Expressions

Which property of operations was used to show these expressions are equivalent?
17y+4+12y= 4+12y+17y

• commutative property of multiplication

• commutative property of addition

• associative property of addition

Which expression is equivalent to 5 x 7h if using the commutative property?

• 7h x 5

• 35h

• 12h

• none of the above

Simplify the expression:
8(5 + w)

• 40 + w

• 40+8w

• 85 + 8w

• 13+8w

Rewrite using distributive property and GCF.
16 + 24

• 2(8+12)

• 3(5+8)

• 4(4+6)

• 8(2+3)

Simplify the expression: 5x + 2y - 3x + 4y

• 2x + 6y

• 5x + 2y

• -2x - 6y

• 8xy - 5

Identify which expression is equivalent to 4x + 3y - 2x + 5y

• 5x + 3y

• 3x + 8y

• 6x + 2y

• 2x + 8y

Determine which expression is equivalent to 5a + 2b - 3a + 4b

• 2a + 6b

• 2a - 6b

• 5a + 2b - 3a - 4b

• 7a + 6b

Check if the expressions 2x + 3y and 5x - 2y are equivalent by substituting x = 2 and y = 3

• Yes

• Maybe

• Not sure

• No

Verify the equivalence of the expressions 3a - 2b and a + 5b by substituting a = 1 and b = 2

• The expressions 3a - 2b and a + 3b are equivalent when a = 1 and b = 2.

• The expressions 3a - 2b and a - 5b are equivalent when a = 1 and b = 2.

• The expressions 3a - 2b and 2a + 5b are equivalent when a = 1 and b = 2.

• The expressions 3a - 2b and a + 5b are equivalent when a = 1 and b = 2.

Apply the distributive property to expand the expression: 3(2x - 4)

• 5x - 10

• 3x - 12

• 6x - 8

• 6x - 12