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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

4. Perimeter and Area in the Coordinate Plane

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Exercise 41 Page 412

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

x=1

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 multiplying both sides of the equation by 2 to reduce the fraction.

x+1/2=4x-3

LHS * 2=RHS* 2

x+1/2* 2=(4x-3)2

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Simplify

FracMultDenomToNumber

a/2* 2 = a

x+1=(4x-3)2

Distribute 2

x+1=8x-6

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

x+1=8x-6

LHS-x=RHS-x

x+1-x=8x-6-x

Subtract terms

1=7x-6

LHS+6=RHS+6

1+6=7x-6+6

Add terms

7=7x

.LHS /7.=.RHS /7.

7/7=7x/7

Calculate quotient

1=x

Rearrange equation

x=1

Subchapter links

Communicate Your Answer p.405

Monitoring Progress p.406-409

Exercises p.410-412