Algebra Demystified 2nd Ed

Chapter 2 IntroduCtIon to VarIables 51

deMYstiFied / algebra deMYstiFied / HuttenMuller / 000-0 / Chapter 2

EXAMPLES
Write the expression as the product of a whole number or fraction and a
variable expression. The appropriate rule is written next to the problem.

xxx x

3

1

31

1

31

1

3

= ⋅

⋅

=⋅= a

bb

=⋅^1 a

331

1

3

1

1 3 1

xxxx

= ⋅

⋅

=⋅=⋅^ a

b

a

b

=⋅^1

7

8

71

8

7

8

1

xxx

= ⋅

⋅

=⋅ a

bc

a

bc

=⋅^1

7

8

7

81

7

8

xx= ⋅ x

⋅

= ab

c

a

c

=⋅b

xx+ = ⋅+ x

⋅

(^1) =+
2
11
21
1
2
()() 1 a
bb
=⋅^1 a
2
1
21
11
2
1
1
1
2 1
xx+ xx 1
= ⋅
⋅+
=⋅

• =


• 
  

  
  
  
  
  
  
  ()
  a
  b
  a
  b
  =⋅^1
  PRACTICE
  Separate the factor having a variable from the rest of the fraction.

  
  

1.^4
5

x=

2.^7
15

y=

3.^3
4 t

=

4.^11
12 x

5. x− 43 =
   6.^5
   74 ()x− 1

7.^10
21 x+

=

EXAMPLES
Write the expression as the product of a whole number or fraction and a

PRACTICE
Separate the factor having a variable from the rest of the fraction.