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Big Ideas Math Integrated I, 2016 View details

5. Rewriting Equations and Formulas

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Exercise 24 Page 40

Practice makes perfect

a The penny size d of a nail can be described with the following literal equation, in which n is the length of a nail.

d=4n-2 Solving the equation for n means isolating n on one side. Let's do it!

d=4n-2

AddEqn

LHS+2=RHS+2

d+2=4n-2+2

AddTerms

Add terms

d+2=4n

DivEqn

.LHS /4.=.RHS /4.

d+2/4=n

RearrangeEqn

Rearrange equation

n=d+2/4

b To find the lengths of nails we can take 3, 6, and 10 and substitute those values for d into the equation from Part A.

d	d+2/4	n
3	3+2/4	5/4
6	6+2/4	2
10	10+2/4	3

If the penny size is 3, the length of a nail is 54 inches. If the penny size is 6, the length of a nail is 2 inches. A penny size of 10 corresponds to a length of 3 inches.