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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

1. Writing Equations in Slope-Intercept Form

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Exercise 39 Page 170

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

y=1/4

Practice makes perfect

To solve an equation, 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. In this case, we need to start by using the Distributive Property to simplify the right-hand side of the equation.

-4y-10=4(y-3)

Distribute 4

-4y-10=4y-12

Now, we can continue to solve using the Properties of Equality.

-4y-10=4y-12

LHS+4y=RHS+4y

-10=8y-12

LHS+12=RHS+12

2=8y

.LHS /8.=.RHS /8.

2/8=8y/8

Calculate quotient

1/4=y

Rearrange equation

y=1/4

The solution to the equation is y= 14.

Subchapter links

Communicate Your Answer p.165

Monitoring Progress p.167-168

Exercises p.169-170