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MAC 1105 Sample Test P College Algebra Chapter P In problems 1

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MAC 1105
College Algebra
Sample Test P
Chapter P
In problems 1 - 9, do as indicated.
1. Simplify: 5 в€’ 6[7 в€’ (3a в€’ 4)]
вЋ› в€’20w12 y 7 вЋћ
2. Simplify: вЋњ
16 в€’5 вЋџ
вЋќ 10w y вЋ 3. Evaluate:
16
в€’
1
4
(2y )
1/ 5
4. Simplify:
3
4
y 3/10
4 3 8 + 8 + 3 16 в€’ 64
5. Simplify:
6. Rationalize the denominator:
7. Simplify:
3
16x8 y 4
8. Find the product: ( xy 2 в€’ 4) 2
In problems 9 - 15, factor completely.
9. x3 + 2 x 2 в€’ 49 x в€’ 98
10. x 4 в€’ 81
11. 36 x 2 + 84 x + 49
12. 2 x3 + 250
13. x 2 + 10 x + 25 в€’ 36 y 2
1/7/2010
5
2 в€’3
In problems 14 - 16, perform the indicated operations and simplify:
14.
xв€’2 x+2
в€’
x в€’ 1 x2 в€’ 1
15.
(
16.
)
8 x 3 в€’ 27 y 3 Г·
8 x 2 + 12 xy + 18 y 2
2x в€’ 3y
xв€’3
3
xв€’
xв€’2
17.
The weekly cost, in thousands of dollars, for producing x stereo headphones is
30 x + 50 . The weekly revenue, in thousands of dollars, for selling x stereo
headphones is 90x 2 в€’ x . Write a polynomial in standard form for the weekly
profit, in thousands of dollars, for producing and selling x stereo headphones.
18.
The time, in seconds, that it takes an object to fall a distance d, in feet, is given by
the algebraic expression
d
. Find how long it will take a ball dropped from the
16
top of a building 320 feet tall to hit the ground. Write the answer in simplified
radical form.
1/7/2010
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