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Big Ideas Math Integrated I, 2016 View details

5. Rewriting Equations and Formulas

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Exercise 33 Page 41

Practice makes perfect

a To solve the formula for r, let's isolate r on one side.

S=L-rL

SubEqn

LHS-L=RHS-L

S-L=- rL

MultEqn

LHS * (-1)=RHS* (-1)

- S+L=rL

CommutativePropAdd

Commutative Property of Addition

L-S=rL

DivEqn

.LHS /L.=.RHS /L.

L-S/L=r

RearrangeEqn

Rearrange equation

r=L-S/L

b The list price of the shirt is given as $30. Its sale price is shown to be $18. In order to find the discount rate r, we should simply substitute these values into the formula we found in the previous exercise.

r=L-S/L

SubstituteII

S= 18, L= 30

r=30- 18/30

SubTerm

Subtract term

r=12/30

ReduceFrac

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

r=4/10

WriteDec

Write as a decimal