Intermediate Algebra (11th edition)

Perform each operation and express the answer in lowest terms.

Simplify each complex fraction.

27. 28. 29.

30.Solve the equation

31.Danielle can ride her bike 4 mph faster than her husband, Richard. If Danielle can ride
48 mi in the same time that Richard can ride 24 mi, what are their speeds?

Write each expression in simplest form, using only positive exponents. Assume that all vari-
ables represent positive real numbers.

36.Find the distance between the points and

37.Solve the equation

38.Express^61 - -^2 iiin standard form.

23 x- 8 =x-2.

1 - 4, 4 2 1 - 2, 9 2.

1

210 - 28

27 - 2/3 2316 x^2 y# 233 x^3 y 250 + 28

x+ 1

x- 3

=

4

x- 3

+6.

x-^1

y-x-^1

1

a

• 1
  b
  a
  b


• 
  

  b
  a

  
  


• 6
  x- 2
  8
  3 x- 6

1

x+y

+

3

x-y

y^2 +y- 12

y^3 + 9 y^2 + 20 y

,

y^2 - 9

y^3 + 3 y^2

CHAPTERS 1–8 Cumulative Review Exercises 493