Exercise 34 Page 782

Solve for the variable by using the inverse operations.

Practice makes perfect

To solve the proportion, we can start by using the Multiplication Property of Equality.

0.2/a=1.8/18

MultEqn

LHS * a=RHS* a

0.2/a* a=1.8/18* a

b/a* a= b

0.2=1.8/18* a

MoveRightFacToNum

a/c* b = a* b/c

0.2=1.8a/18

MultEqn

LHS * 18=RHS* 18

0.2*18=1.8a/18*18

FracMultDenomToNumber

a/18* 18 = a

0.2*18=1.8a

Multiply

3.6=1.8a

Now, let's use the Division Property of Equality to fully isolate a.

3.6=1.8a

DivEqn

.LHS /1.8.=.RHS /1.8.

3.6/1.8=1.8a/1.8

MovePartNumRight

a* b/c=a/c* b

3.6/1.8=1.8/1.8a

ExpandFrac

a/b=a * 10/b * 10

36/18=18/18a

CalcQuot

Calculate quotient

12=a

RearrangeEqn

Rearrange equation

a=2

Subchapter links

Guided Practice p.778

Independent Practice p.779-780

H.O.T. Problems p.780

Standardized Test Practice p.780-782

Extra Practice p.781

Common Core Review p.782

Exercise 34 Page 782

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