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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 41 Page 170

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

n=0

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 left- and right-hand sides of the equation.

-5(4-3n)=10(n-2)

Distribute -5

-20+15n=10(n-2)

Distribute 10

-20+15n=10n-20

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

-20+15n=10n-20

LHS-10n=RHS-10n

-20+5n=-20

LHS+20=RHS+20

5n=0

.LHS /5.=.RHS /5.

5n/5=0/5

Calculate quotient

n=0

The solution to the equation is n=0.

Subchapter links

Communicate Your Answer p.165

Monitoring Progress p.167-168

Exercises p.169-170