Download Math 101 3rd Q Practice Problems

Math 101 – Third Quiz – Practice problems
1. Simplify as much as possible:
( ) ( 2x )
4 ( x y ) ⋅ 6 ( xy )
3 xy 2
2
3
2
2
2 2
= ?
2. Write in scientific notation: 2,400,000,000.
3. Write in scientific notation: .00000145
In problems 4 – 14, carry out the indicated operations.
4.
( 2x
5.
(x
2
3
) (
)
− 3x 2 + 2x − 6 − x 3 + 4x 2 − 2x − 1 = ?
)(
)
+ 3x x 2 − 2x + 4 = ?
6. (2x + 1)(2x – 1) = ?
7. (x + 5)(x – 9) = ?
8. (x + 3)3 = ?
9. (x+4)2 – (x + 2)2 = ?
4xy 3 + 2x 2 y 2 + 3x 3 y
10.
=?
xy
x2 − x − 6
11.
= ?
x−3
12.
x 3 + 4x 2 − 2x − 1
= ?
x +1
13.
x5 − 1
= ?
x −1
14. Solve for x:
x3 + 4x2 = 0
15. Solve for x: 4x2 – 81 = 0
16. Solve for x: x2 – 9x – 10 = 0
17. Solve for x: 3x2 = 11x + 4
18. One number is two more than three times another number. The product of the two number
is 33. Find the numbers.
19. The hypotenuse of a right triangle is 17" long. The difference of the other two sides is 7".
Find the other two sides.
20. Divide:
21. Add:
x 2 + x − 2 x 2 + 3x + 2
÷
= ?
x 2 + 2x − 3 x 2 + 4x + 3
1
1
= ?
+ 2
x +1 x −1
22. Subtract:
23. Solve for x:
x+3
x+3
= ?
− 2
x − 3x + 2 x − x − 2
2
x 3 25
+ =
2 x 4
24. Albert can do a job in 5 hours, and Andrea can do the same job in 3 hours. How long will it
take them to do the job working together?
25. A river has a current speed of 4 mph. A boat travels on the river 48 miles upstream, and
returns 48 miles downstream. The total time for the round trip is 5 hours. What is the speed
of the boat in still water?
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