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MTH:140 PRACTICE FINAL EXAMINATION
(Revised 04/04)
- Factor completely: 24x
2
A) (6x + 4) (4x + 1) C) 4 (3x + 1) (2x + 1) E) none of these
B) 4 (6x
2
- 2x + 1) D) can’t be factored
- Factor completely: 25x
2
A) can’t be factored C) 16 (x + y) (x – 1) E) none of these
B) (5x + 1) (5x + 1) D) 5 (5x
2
- Factor completely: 16x
2
2
A) (4x + y) (4x – y) C) (2x + y) (8x – y) E) none of these
B) 16 (x + y) (x – y) D) can’t be factored
- Factor completely: 6x
2
A) (6x + 1) (x – 2) C) (3x – 2) (2x + 1) E) none of these
B) can’t be factored D) (3x + 2) (2x – 1)
- Factor completely: x
3
A) (x + 2) (x
2
3
E) none of these
B) (x + 2) (x
2
- 2x + 4) D) can’t be factored
- Simplify: 8
A)
B) 2.8 C) 2 D)
E) none of these
- Simplify:
4
8
x
x
A) x
4
B) x
2
C) 2 D) 4 E) none of these
- Simplify:
2
2
1
3 2 1
ab c a b c
A)
c
a b
2
B)
2 1
a bc
C)
c
a b
2
5
2
D)
c
a b
2
3
2
E) none of these
- Rationalize and simplify:
3
A)
B)
3
C)
3
D)
3
E) none of these
- Simplify:
A)
B)
C)
D)
E)
none of these
- Solve: (x – 1)
2
A) 4, 6 B) 4, –2 C) 8 D) 10 E) none of these
12. The formula ( 32 )
C F relates Fahrenheit and Centigrade Temperature measures. Solve for F.
A)
F C
B)
F C
C)
F C
D)
C
F
E)
none of these
- How many ml. of distilled water must be added to 60 ml. of 70% alcohol solution to obtain a 60% solution?
A) 20 ml. B) 5 ml. C) 15 ml. D) 10 ml. E) none of these
2
f ( x ) 2 x
f ( x b )
A)
2 2
2 x 2 xb b
B) 2 x b C)
2
2 x b D)
2 2
2 x b E) none of these
2
2
2
x
x x
x x
x
A) 8 B)
C) –8 D)
2 x
E) none of these
- Divide 3 3 2
3 2
x x byx
A) 3 7 14 , 31
2
x x R B) 2 4 7 , 11
2
x x R C) 3 5 10 , 14
2
x x R D)
2
x x R
E) none of these
x x
A)
2
x
x
B) 8 C) 0 D) 8x E) none of these
- Simplify:
2
x
x x
- Solve for x:
2 x 7 1
A) x < 4 B) 3 < x < 4 C) 4 < x < 3 D) x < 3 or x > 4 E) none of these
- Find the x-coordinate of the solution:
x y
x y
A) 0 B) 2 C) -1 D) 1 E) none of these
- Write the equation of the line that passes through the points (1, 2) and (0, 5).
A)
y x
B)
y 3 x 5 C)
y 3 x 5 D)
y 7 x 5 E) none of these
- Which of the following equations is not linear (a straight line)?
A)
x y 2 B)
y 4 C)
xy 2
D) x 3 E) All are linear
- Choose the correct graph of
2
y 2 x
E) none of these
- Give the x-coordinate of the following system:
x y 7
x y 3
A) x = 5 B) x=3 C) x = 0 D) x=-5 E) none of these
- Give the y-coordinate of the following system:
2x 3y 7
3x y 7
A) y = 3 B) y=-1 C) y = 2 D) y=0 E) none of these
2
1
A) 5i B) -5i C)
5i D) - 5 E) none of these
- Simplify: 3 12 2 27
A) 15 i B) 2 3 C) 6 3 D) 3 6 E) none of these
- Solve for x:
2 x 3 5
A) x 4 or x 1 B) 1 x 4 C) x 4 or x 1 D) x 1 or
x
E) None of these
x
x
A)
2
x
x
B)
x
x
C)
x
D)
x
x
E) none of these
- Solve:
2
x
x
x x
A) 4 B) –2 C) 2 D) –4 E) none of these
- Factor completely using integers:
4 2
4 x 16 x
A)
2 2
x x
B)
2 x 4 x 2 x 4 x
2 2
C) 2 2 x x x 2 x 2 D)
2 2
x x
E) none of these
- Rationalize the denominator and simplify:
x
x
, x > 0
A)
x
x x
B)
x
x
C) 5 D)
x
x x
E)
none of these
- Solve for x: 2x (5x + 7) < (4 2x)
A) x > 3 B) x > 11 C) x < 3 D) x > -11 E) none of these
- Solve for x: x
2
A)
hours B)
hours C)
hours D)
hours E) none of
these
Answer Key
1. B
2. B
3. B
4. C
5. B
6. A
7. A
8. C
9. D
10. A
11. B
12. B
13. D
14. C
15. D
16. A
17. A
- E (x + 3)
19. D
20. B
21. D
22. C
23. A
24. E
25. B
26. D
27. B
28. D
29. B
30. C
31. C
32. D
33. B
34. D
35. E –
36. A
37. A
- E - 2, extraneous
39. C
40. D
41. D
42. A
43. D
44. B
45. C
46. D
47. E -1+
48. E
i
49. C
50. D
