Question

Write an equivalent expression for 5(2x+y−3z) by modeling and by using the distributive property.

Modeling
ANSWERED
asked 2021-05-25
Write an equivalent expression for 5(2x+y−3z) by modeling and by using the distributive property.

Expert Answers (1)

2021-05-26
To find the equivalent expression using modeling, make a table with the terms of 2x+y−3z2x+y−3z along the top and 5 on the left. Then multiply each term of 2x+y−3z2x+y−3z with 5.
2x y −3z
5 10x 5y −15z
The equivalent expression is the sum of the products so the equivalent expression is 10x+5y−15z.
The Distributive Property states that a(b+c)=ab+aca(b+c)=ab+ac. Using the Distributive Property gives:
=5(2x)+5(y)+5(−3z) Distributive Property.
=10x+5y−15z Multiply.
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