Solving rational equations, algebra homework help

Solving rational equations questions with work shown. p. 554-564 # 9, 10, 12, 14, 16 , 20, 21 25, 26, 28, 29, 32

បបននៅកនញង
ations
Exercises
Solve each equation. Check your solutions.
res multiplying
s may introduce
ve the derived
Check all possible
31.5 –
4
32.43
x(x + 3)
18
33. +
중
n.
34. You travel 10 mi on your bicycle in the same amount
of time it takes your friend to travel 8 mion his
bicycle. If your friend rides his bike 2 mi/h slower
than you ride your bike, find the rate at which each
of you is traveling
5
.
ng Rational Expressions
Exercises
Simplify the sum or difference. State any restrictions on
the variable.
th different
the LCD. A
or or denominator
Sometimes you can
g the numerator
tional expressions.
6
Зах
27.
2
+
4.
28.
1
2
2 + 3x
Simplify the complex fraction.
2 – 3
29.
3 –
1
1
30.
* + y
4.
uations
Exercises
Solve each equation. Check your solutions.
uires multiplying
his may introduce
olve the derived
31.
for the graph of the
cribe any vertical or
noles.
-7 and a horizontal
ssions
Exercises
plest form when its
re polynomials that have
Simplify each rational expression. State any restrictions
on the variable.
2 + 10x + 25
23.
? + 9x + 20
on. State any restrictions on
12 21 = 24
24.
x2 + 7x + 12
zo
4.x2 – 2x
25.
x2 + 5x + 4
2011
+ 2x + 1
5
4)(x + 4)
3)(x + 5)
26. What is the ratio of the volume of a sphere to its
surface area?
5, X-3, and x 4
PowerAlgebra.com
Chapter 8 Chapter Review
555
ons
5
F11
oint of
Find any points of discontinuity for each rational
function. Sketch the graph. Describe any vertical or
horizontal asymptotes and any holes.
tical asymptote
1 – 1
19. y = (x + 2)(x – 1)
ole or a vertical
20. y =
-1
-1
the graph of f(x)
21. y
2x + 3
12 + 2
there is a
a and bare the
gree in P(x) and
22. The start-up cost of a company is $150,000. It
costs $.17 to manufacture each headset. Graph
the function that represents the average cost of a
headset. How many must be manufactured to result
in a cost of less than $5 per headset?
a there is no
EM
e graph of the
any vertical or
7 and a horizontal
ns
Exercises
Simplify each rational expression. State any restrictions
on the variable.
t form when its
ynomials that have
10
* + 9x + 20
23. 103= 20
5
10. z varies directly with x and inversely with y. When
x = 5 and y = 2, 2 = 10.
al Function Family
Exercises
unction has two parts called
k
+cis a translation of
b
y and c units vertically. It has
b and a horizontal asymptote
Graph each equation. Identify the x- and y-intercepts and
the asymptotes of the graph.
11. y = 1
12. y = 2
13. y = – 4
3
2 + 1. Identify the x-and
aptotes of the graph.
2
14. y
*+ 3 – 1
nptote is x = 2.
symptote is y = 1.
to the right and one unit up.
4 YA
Write an equation for the translation of y = that has the
given asymptotes.
15. x = 0, y = 3
16. * – 2, y – 2
17. x = 3, 4
18. X = 4,3
8
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X
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er Review
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