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

Emily-Jane Bray

Emily-Jane Bray

Answered question

2021-05-25

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

Answer & Explanation

yunitsiL

yunitsiL

Skilled2021-05-26Added 108 answers

To find the equivalent expression using modeling, make a table with the terms of 2x+y3z2x+y3z along the top and 5 on the left. Then multiply each term of 2x+y3z2x+y3z with 5.
2xy3z
510x5y15z
The equivalent expression is the sum of the products so the equivalent expression is 10x+5y15z.
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+5y15z Multiply.

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