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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

5. Literal Equations and Formulas

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Exercise 37 Page 113

Apply inverse operations to isolate x.

x=ay/b+a

Practice makes perfect

To solve the given literal equation for x, we will use the Properties of Equality to apply inverse operations on the equation. Remember, only like terms can be combined.

x/a-1=y/b

LHS+1=RHS+1

x/a-1+1=y/b+1

Add terms

x/a=y/b+1

LHS * a=RHS* a

x/a* a=(y/b+1) * a

FracMultDenomToNumber

a/b* b = a

x=(y/b+1) * a

Distribute a

x = y/b* a + a

MoveRightFacToNum

a/c* b = a* b/c

x = y* a/b + a

Multiply

x=ya/b+a

CommutativePropMult

Commutative Property of Multiplication

x=ay/b+a

Subchapter links

Lesson Check p.112

Practice and Problem-Solving Exercises p.112-114

Standardized Test Prep p.114

Mixed Review p.114