Algebra Demystified 2nd Ed

50 algebra De mystif ieD

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

PRACTICE

Find the product.

1.^4
9

2

7

x⋅=

2.^2
3

6

x 5

⋅=y

3.^18
19

2

11

x

x

4.^5
9

4

3

xy⋅=

SOLUTIONS

1.^4
9

2

7

8

63

xx⋅=

2.^2
3

6

5

26

35

22

5

4

x 5

yy

x

y

x

y

x

⋅=⋅

⋅

= ⋅

⋅

3.^18
19

2

11

18 2

19 11

18 2

19 11

36

209

x

x

x

x

⋅=⋅

⋅

= ⋅

⋅

=

4.^5
9

4

3

20

27

xy⋅=xy

At times, especially in calculus, students need to separate a variable from

the rest of the fraction. This involves writing the fraction as a product of two

fractions, or of one fraction and a whole number, or of one fraction and a vari-

able. The steps we follow are the same as in multiplying fractions—only in

reverse. For the following practice problems, we will use one of the following

properties to separate the variable from the rest of the fraction.

a

b

a

b

=⋅^1

a

bb

=⋅^1 a

ab

c

a b

c

a

c

=⋅=⋅b

a

bc

a

bc

a

bc

=⋅ =⋅^11

PRACTICE

Find the product.

✔SOLUTIONS