# 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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0
Team One
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Team Three
15
Team Five
0
Team Two
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Team Four
0
Team Six
Topic 1
Determine the domain of the rational
function
2
y 2
2
y  2y  3
Topic 1
y ≠ -3, and y ≠ 1
Back to Board
Topic 1
Simplify by removing a
factor equal to 1
2
x 9
5 x  15
Topic 1
x 3
5
Back to Board
Topic 1
y  9 y  3y

2
2
y
y  y 6
2
2
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
Topic 1
x  4 x  16
2
( x  4)
2
Back to Board
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?
Topic 1
1
5 hr.
7
Back to Board
Topic 2
Determine the domain
of the rational function.
2
x  49
f ( x) 
( x  4)( x  1)
Topic 2
x ≠ -4, and x ≠ 1
Back to Board
Topic 2
Perform the indicated
operations and if
possible, simplify.
2
x
64

x 8 x 8
Topic 2
( x + 8)
Back to Board
Topic 2
5
7

2 3
4 2
6m n p 9mn p
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
Topic 2
( x  4 x  16)( x  6)
2
( x  2)
2
Back to Board
Topic 2
Simplify
4
4
x
9
9
x
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
Topic 3
t ≠ 3, and t ≠ -3
Back to Board
Topic 3
8 x  16
x

5x
5 x  10
3
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
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
Topic 3
y ( y  5)
y 3
Back to Board
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?
Topic 3
20 hr.
Back to Board
Topic 4
Divide
12 x  8x  x  4  4 x
3
2
Topic 4
1 1
3x  2 x  
4 x
2
Back to Board
Topic 4
Divide
( x  x  6)  ( x  2)
3
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
Topic 4
-145
Back to Board
Topic 4
Solve, if no solution
exists state this.
2
1
x

 2
x  2 x  4 x  2x  8
Topic 4
-3
Back to Board
Topic 4
3 2y
10
2y  3
 2

y  1 y 1 1  y
Topic 4
No Solution
Back to Board
Topic 5
15
f ( x)  2 x  ; f (a)  7
x
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
Topic 5
3
3 hr.
5
Back to Board
Topic 5
Divide
(64 x  8)  (4 x  2)
3
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
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
Topic 5
-1
Back to Board
Show Question
“Big Points”
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2
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explain the three cases
that have a domain
issue. Support each
case with an algebraic
example.
Big Points
x4
2
x
x 1
Back to Board
Big Board Facts
&copy; 2010 Jeff Ertzberger
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