Chapter 11 skill set
What does the first step to this solution look like?
x+2
3
15=2x-1
3(x+2)=(x-3)5
3(x-3)=(x+2)5
 15=(x+2)(x–3) 
=
x–3
5
What does the first step to this solution look like?
c-5
c
6c=2c-3
5c2=(c-5)(c+2)
c(x-5)=(c+2)5c
 6c=(c+2)(x–5) 
=
c+2
5c
Solve for x
x + 8
-1
x = -2
x = 6
x = 10
x = -10 
=
6
3
Solve for x
-8
48
x = -2
x = 2
x = -6
x = 6 
=
-12
x
Factor  x2 - 9
(x-9)(x+1)
(x-1)(x-9)
(x-3)(x+3) 
(x-3)(x-3)
Factor  x2 + 2x - 15
(x-15)(x+1)
(x-3)(x+5)
(x-5)(x+3) 
(x-1)(x-15)
Factor  3x2 - 9x + 15
3(x-1)(x+4)
(x-1)(x-5)
3x(x+5) 
3(x- 3x + 5)
This rational expression is equal to
(x+6)(x-3)
(x-3)(x+6)
2(x-3)(x+6)
(x+3)
x2-3
 1 
=
This rational expression is equal to
(x-8)(x+7)
(x+7)
      4x
x- 56
  4x2 - 32
4x(x-8)
=
4x(x-8)2(x+7)
-1
     4
Simplify this product
10
3
  28      19
   5
      6
25
9
=
3•9 = 10•25
75    90
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