Math 1010 review

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Topic
One
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Topic
Two
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Topic
Three
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Topic
Four
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Topic
Five
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Team One
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Team Three
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Team Five
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Team Two
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Team Four
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Team Six
Topic 1
Determine the domain of the rational
function
2
y 2
2
y  2y  3
Show Answer
Topic 1
y ≠ -3, and y ≠ 1
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Topic 1
Simplify by removing a
factor equal to 1
2
x 9
5 x  15
Show Answer
Topic 1
x 3
5
Back to Board
Topic 1
y  9 y  3y

2
2
y
y  y 6
2
2
Show Answer
Topic 1
( y  3)( y  3)
y ( y  2)
Back to Board
Topic 1
x  64
x  16

3
2
x  64 x  4 x  16
3
2
Show Answer
Topic 1
x  4 x  16
2
( x  4)
2
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Topic 1
Meg can arrange the books for
a book sale in 9 hr. Kelly can
set up for the same book sale
in 12 hr. How long would it
take them working together,
to set up for the book sale?
Show Answer
Topic 1
1
5 hr.
7
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Topic 2
Determine the domain
of the rational function.
2
x  49
f ( x) 
( x  4)( x  1)
Show Answer
Topic 2
x ≠ -4, and x ≠ 1
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Topic 2
Perform the indicated
operations and if
possible, simplify.
2
x
64

x 8 x 8
Show Answer
Topic 2
( x + 8)
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Topic 2
5
7

2 3
4 2
6m n p 9mn p
Show Answer
Topic 2
15np  14m
2 4 2
18m n p
Back to Board
Topic 2
x  4 x  12 x  4

2
3
x  6 x  8 x  64
2
2
Show Answer
Topic 2
( x  4 x  16)( x  6)
2
( x  2)
2
Back to Board
Topic 2
Simplify
4
4
x
9
9
x
Show Answer
Topic 2
4
9
Back to Board
Topic 3
Determine the domain
of the rational function
t  3t  2
f ( x)  2
t 9
2
Show Answer
Topic 3
t ≠ 3, and t ≠ -3
Back to Board
Topic 3
8 x  16
x

5x
5 x  10
3
Show Answer
Topic 3
2
8x
25
Back to Board
Topic 3
Divide and if possible,
simplify
4a  1 2a  1

2
a 4 2a
2
Show Answer
Topic 3
2a  1

a2
Back to Board
Topic 3
Multiply and , if
possible, simplify
y  10 y  25 y  3 y

2
y 9
y 5
2
2
Show Answer
Topic 3
y ( y  5)
y 3
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Topic 3
Cody’s swimming pool can be
filled in 12 hr. if water enters
through a pipe alone, however his
son Arron had drained the pool
and forgot to take the hose out.
When the hose is draining it takes
30 hr. to empty the pool. If the
water is entering through the pipe
and draining from the hose, how
long will it take to fill the pool?
Show Answer
Topic 3
20 hr.
Back to Board
Topic 4
Divide
12 x  8x  x  4  4 x
3
2
Show Answer
Topic 4
1 1
3x  2 x  
4 x
2
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Topic 4
Divide
( x  x  6)  ( x  2)
3
Show Answer
Topic 4
( x  2 x  3)
2
Back to Board
Topic 4
Solve if no solution
exists, state this.
60 18 40
 
t 5 t
t
Show Answer
Topic 4
-145
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Topic 4
Solve, if no solution
exists state this.
2
1
x

 2
x  2 x  4 x  2x  8
Show Answer
Topic 4
-3
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Topic 4
3 2y
10
2y  3
 2

y  1 y 1 1  y
Show Answer
Topic 4
No Solution
Back to Board
Topic 5
15
f ( x)  2 x  ; f (a)  7
x
Show Answer
Topic 5
3
 ,5
2
Back to Board
Topic 5
Chandra can embroider logos
on a team’s sweatshirts in 6
hr. Traci, a new employee
needs 9 hr. to complete the
same job. Working together,
how long will it take them to
do the job
Show Answer
Topic 5
3
3 hr.
5
Back to Board
Topic 5
Divide
(64 x  8)  (4 x  2)
3
Show Answer
Topic 5
1
16 x  8 x  4, x  
2
2
Back to Board
Topic 5
2
V
2g

solve for h
2
R
Rh
Show Answer
Topic 5
2
2R g
h
2
V
Back to Board
Topic 5
Simplify
y
2y

2
2
y 4 y  y6
2y
y
 2
2
y  y6 y 4
Show Answer
Topic 5
-1
Back to Board
Show Question
“Big Points”
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2
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4
5
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8
9
In your own words,
explain the three cases
that have a domain
issue. Support each
case with an algebraic
example.
Show Answer
Big Points
x4
2
x
x 1
Back to Board
Big Board Facts
© 2010 Jeff Ertzberger
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