Question

Match the expressions with the property used to generate 5y + 2y + 6 + 2.

Answer 1

The first one (5y + 2 + 6 +2y) is Commutative Property.

The second (6y - y + 2y + 10 - 4 + 2) is combining like-terms.

The last one is Distributive Property.

Explanation:

Answer 2

Hey there!

5y + 2y + 6 + 2

COMBINE the LIKE TERMS

= (5y + 2y) + (6 + 2)
= 7y + 8

Overall answer: 7y + 8

The QUESTION ANSWER:

Distributive property:

5y + 2(y + 3) + 2

Combining the like terms:

6y - y + 2y + 10 - 4 + 2

Commutative property:

5y + 2 + 6 + 2y

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FORMULAS: (for properties for addition)

COMBINING LIKE TERMS:

a + b + a + b

= 1a + 1b + 1a + 1b

= (1a + 1a) + (1b + 1b)

= 1a + 1a + 1b + 1b

= 2a + 2b
DISTRIBUTIVE PROPERTY:

a(b + c)

= a(b) + a(c)

= ab + ac

COMMUTATIVE PROPERTY:

a + b + c

= b + c + a

= c + b + a
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Good luck on your assignment & enjoy your day!

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)