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# Various Algebra Problems

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Write in simplest form
1) 5x - 20
___________
7x - 28

2) 9x^10
_________
63x^18

Multiply
3) 7x^2 16
____ * ____
4 x^4

4) 2x - 4 3x
_____ * _____
x^2 - 4x 2 - x

Divide
5) 2x - 6 5x - 15
_______ &#61624; _______
21 12

Add. Express your answer in simplest form.
6) x^2 18x + 80
_____ + _______
x+8 x + 8

Subtract. Express your answer in simplest form.
7) 3x x
____ - _____
18 18

Subtract. Write your answer in simplest form..
8) 10 1
____ - ____
y-2 y+1

Solve
9) x-2 1
_____= ____
4 2

10) x 1 x-11
____ - __ = _____
7 2 2

11) If one-half a number is subtracted from five-sixths of the number, the difference is 6. Find the number.

12) A car uses 9 gallons of gasoline on a trip of 315 miles. At that rate, how much gasoline will a trip of 595 miles require?

Simplify
13) 4
__
16
_________

8
__
20

Simplify

14) 3
___ + 1
x - 5
________________
4
1 - -----
x-5

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#### Solution Summary

Various Algebra Problems are resolved.

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