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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

3. Solving Multi-Step Equations

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Exercise 49 Page 98

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

1.5 or 1 12

Practice makes perfect

To solve an equation, we should first gather all of the variable terms on one side of the equation 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-hand side of the equation.

8n-(2n-3)=12

Distribute -1

8n-2n+3=12

Subtract term

6n+3=12

LHS-3=RHS-3

6n=9

.LHS /6.=.RHS /6.

n=9/6

a/b=.a /3./.b /3.

n=3/2

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Write fraction as a mixed number

Write as a sum

n=2+1/2

Write as a sum of fractions

n=2/2+1/2

Calculate quotient

n=1+1/2

Rewrite 1+1/2 as 1 12

n=1 12

The proper notation for a mixed number makes our final solution n=1 12, which can also be written as n=1.5.

Subchapter links

Lesson Check p.97

Practice and Problem-Solving Exercises p.98-100

Standardized Test Prep p.100

Mixed Review p.100