Yalor y sus lingotes inlges

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MTH:140 PRACTICE FINAL EXAMINATION (Revised Nov. 2010) Factor completely: 24x2 + 8x +4 Factor completely: 25x2 + 10x +1 Factor completely: 16x2 – 16y2 Factor completely: 6x2 – x – 2 Factorcompletely: x3 + 8

1.

2.

3.

4.

5.

6.

Factor completely: x

3

2x2

3x 6

7.

Simplify:

3 8

32
5

8.

2x2 / 5 y 1 / 3 Simplify: b0 x 2 y

9.

Solve for x and writeyour answer in interval notation:

9

5

2x

6

10. 11.

Simplify:
3

1 2

Solve: (x – 1) 2 = 9

12.

The formula C

5 ( F 32) relates Fahrenheit and Centigrade Temperaturemeasures. Solve for F. 9

13.

How many ml. of distilled water must be added to 60 ml. of 70% alcohol solution to obtain a 60% solution?

14.

If f ( x) Then

2x2

f ( x b)
x2 x
2

15.Simplify:

4 3x 2

2x2 4x x 1

16.

Divide

3x3 x 2 3 by x 2

17.

Simplify:

4 x 2

4 x 2

18.

Simplify:
1 x x
1

x2
1 y y1

4x 3 x 1

19.

Simplify:

20. 21. 22.23. 24. 25. 26. 27.

Solve for x:

3x 1

3x 4
2 x 2 2 x 2

Perform the indicated operation: Solve for x: Solve for x: Solve for x: Solve for x:

2x a
2x 3 x 1 7

3a

2x2
4 x

x 3
x2

0

Find the domain for the following function: g ( x )

x 2 x2 9
7 1

Solve for x and write your answer in interval notation: 2x

28. 29.

Solve the system

x x

y y

1 1Write the equation of the line that passes through the points ( 1, 2) and (0, 5).

30.

The length of a rectangle is 2 more than 3 times its width. If the perimeter is 120 cm, what is the width ofthe rectangle? Draw the graph of y = 2 – x2

31.

32.

Write the equation of the line that passes through the point ( 1, 2) with slope 3. Write your answer in Standard Form.

33.

Solve thefollowing system:
1

3x y 7 2x 3y 7

34.

Simplify:

25

2

35.

Simplify:

3 12 2 27

36. 37.

Solve for x: Simplify:

2x 3
x 1 1 x
3 x 2

5

38.

Solve:

1 x 2...
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