Question

100 points and brainlyest
Part 2 - Writing Equivalent Expressions - You will now use mathematical properties to create two expressions that are equivalent to Sara’s expression.
Property Used
Original/Changed Expression
New expression with property used
Commutative Property of Addition (rearrange the added terms in the parentheses to group like terms together.)
5(2j + 3 + j)

Combine Like terms after rearranging them
(put your answer from the previous row here)

Distributive Property of multiplication over addition (multiply the number outside the parentheses)
(put your answer from the previous row here)
(Use this final expression that you write in this box on the next slide.)

Answer 1

Answer:

Commutative Property of Addition: to change the order of numbers in an addition or multiplication operation does not change the sum or the product.

New expression with property used: 5(2j + j + 3)

Combine like terms:  when combining like terms, add their coefficients

The like terms are 2j and j.  Add their coefficients: 2 + 1 = 3, which means that the combination of like terms is 3j.

New expression with property used:  5(3j + 3)

Distributive Property of multiplication over addition: multiplying a sum by a number gives the same result as multiplying each added term by the number and then adding the products together.

So 5(3j + 3) = 5 · 3j + 5 · 3 = 15j + 15

New expression with property used:  15j + 15