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Big Ideas Math: Modeling Real Life, Grade 8 View details

4. Rewriting Equations and Formulas

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Exercise 7 Page 27

Apply inverse operations to isolate C.

C=5/9F-160/9

Practice makes perfect

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

F=9/5C+32

SubEqn

LHS-32=RHS-32

F-32=9/5C+32-32

SubTerm

Subtract term

F-32=9/5C

We want to eliminate the coefficient of C, which is equal to 95. In order to do that, let's multiply both sides of the equation by the reciprocal of that fraction.

F-32=9/5C

MultEqn

LHS * 5/9=RHS* 5/9

(F-32)5/9=(9/5C)5/9

RearrangeEqn

Rearrange equation

(9/5C)5/9=(F-32)5/9

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Simplify left-hand side

CommutativePropMult

Commutative Property of Multiplication

9/5(5/9)C=(F-32)5/9