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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

Cumulative Practice

Exercise 9 Page 38

Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.

B

We want to find out which value of y makes the given equation true. 3y+8=7y+11 To do so, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality.

3y+8=7y+11

LHS-3y=RHS-3y

3y+8-3y=7y+11-3y

Subtract terms

8=4y+11

LHS-11=RHS-11

8-11=4y+11-11

Subtract terms

-3=4y

.LHS /4.=.RHS /4.

-3/4=4y/4

MoveNegNumToFrac

Put minus sign in front of fraction

- 3/4=4y/4

Calculate quotient

- 0.75=y

Rearrange equation

y=- 0.75

Therefore the correct answer is B.

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