Algebra Demystified 2nd Ed

52 algebra De mystif ieD

deMYstiFied / algebra deMYstiFied / HuttenMuller / 000-0 / Chapter2

SOLUTIONS

1.^45 xx=^451 ⋅⋅ =⋅= 514 x^45 x
2.^7
15

7

15 1

7

15 1

7

15

yy= ⋅ y y

⋅

=⋅=

3.^3
4

31

4

3

4

1

ttt

= ⋅

⋅

=⋅

4.^11
12

111

12

11

12

1

xxx

= ⋅

⋅

5. xx 4 −^3 =^13 ⋅−() 41 ⋅ =− 41 ()x^3
   6.^5
   74 1

51

74 1

5

7

1

()()xx− 41 x

= ⋅

⋅−

=⋅

−

7.^10
21

10 1

12 1

10 1

xx+ 21 x

= ⋅

⋅+

=⋅

() +

Fraction Division and Compound Fractions

Division of fractions with variables can become multiplication of fractions by

inverting the second fraction. Because compound fractions are really only

fraction division problems, we can rewrite the compound fraction as fraction

division and then as fraction multiplication.

EXAMPLE

Simplify the compound fraction.

(^45)
3
4
53
4
5
312
x 5
x
xx
=÷=⋅=
PRACTICE
Simplify the compound fraction.

1. (^1532)
   6 x

2.

(^914)
(^217)
x

EXAMPLE

Simplify the compound fraction.

PRACTICE

Simplify the compound fraction.

✔SOLUTIONS