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CLEP Pre - Calculus

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. y=cos(1/2x)+1
Period = 4pi - Up 1 - amplitude = 1
- sine
y'=((cosx)(2x+3)+(x²+3x+5)sinx)/ cos²x
v3/2

2. tan p/3
arcsec 1
v3
arcsec(-v2)
(e

3. log5(5x + 1) = log5(5) x=
(ln4)/2
1/2
4/5
-v3/3

4. 4=3e4n+1 n=
1
0
Period = 2pi - Amplitude = 2 - Vertical Shift up 3 - flip over the x-axis
arccos(

5. y=-2cos(3x)
Amplitude = 2 - Flip over the x-axis - Frequency = 3/2pi
y'(1/8)=0
y'(4)=25
y'=-2sin²x+2cos²x

6. tan 4p/3
-1
arcsin
v3
-v3

7. -p/3
arctan(-?v3)
-v2/2
U
arcsin(-

8. p/3
-v3
3n
arcsin(
arcsin

9. cos p/3
0
1/2
y'(1/8)=0
Period = 4pi - Up 1 - amplitude = 1

10. sin p/4
y'=2e^x
2/5
v2/2
e-1

11. tan 7p/6
v3/3
y'=x²e^x + 2xe^x
9
arccos 0

12. How could you affect the period of a graph made by a tuning fork?
Get a tuning fork with a different frequency.
(ln3)/3
y'=2p
arcsin(

13. log22³n
3n
v3
y'=2
-v3

14. cos 2p
x=3
1
arcsin(-3)
v3/2

15. The inverse of sine
v2/2
Arcsine
arcsec(-v2)
Period = pi - Amplitude = 2 - Horizontal Shift 3 left

16. log3x=4
e-1
x=81
-v2/2
-v3

17. tan 3p/4
Period = 2pi/3 - Amplitude = 2 - Phase Shift pi/3
-v3/2
-1
-v3

18. y=x²e^x

19. log216=x
arccos(-1)
(ln4)/2
1
x=4

20. Log4(x)-Log4(x-1)=1/2 x=
2
x=-3
y'=2e^x
arcsin

21. 10e³n-7=23 n=
Period = 2pi - Amplitude = 2 - Up three - Flips over the y-axis
-v3/3
The cofunction of sine
(ln3)/3

22. cos 7p/4
v3/3
-1/2
v2/2
(ln3)/3

23. sin 4p/3
Period = pi - Amplitude = 3 - Vertical Shift up 1
arctan(-1)
-v3/2
y'=2xe²

24. sin 11p/6
-1/2
x=-3
v3/2
y'=14x

25. 47n=64 n=
y'=sinp(2x+3)
arcsin(-
-1
3/7

26. y=2sin 2( x +3 )
Period = pi - Amplitude = 2 - Horizontal Shift 3 left
arcsin 2
arccos(-
-v2/2

27. y=sinp(x²+3x+5)

28. y=(x²+3x+5)/cosx

29. The reciprocal of the period
y'=((x²+3x+5)(cosx)-sinx(2x+3))/(x²+3x+5)²
arccos
frequency
arccos 1

30. sin 7p/4
1
arcsec(-v2)
arcsin(-1)
-v2/2

31. y=2sin(-x)+3
2
100/3
y'=2
Period = 2pi - Amplitude = 2 - Up three - Flips over the y-axis

32. cos 5p/6
-v3/2
arccos(
arcsin 1
y'=2xe²

33. y=7/(x²+9)

34. tan 5p/4
1
100/3
5
-1/2

35. Ln(x)=8 x=
1/2
e8
106/7
v2/2

36. p/4
arcsin
x=3
arccos(
y'=(-14x)/(x²+9)²

37. cos 3p/4
Period = 2pi - Amplitude = 2 - Up three - Flips over the y-axis
arcsin 2
-v2/2
e8

38. 5(6³n)=20 n =
infinite
-v3/3
(log64)/3
y'=e/(2vx)

39. tan p/6
y'=2p
y'=((cosx)(2x+3)+(x²+3x+5)sinx)/ cos²x
v3/3
y'=1/(2evx)

40. 0
arctan 0
arcsin 0
v3/2
v3

41. y=sinx / (x²+3x+5)

42. 4+Log(7x)=10 x=
100/3
arcsin(-
-1
106/7

43. p/4
The frequency of the tuning fork is smaller.
arctan 1
2
1

44. log327=x
v3/2
y'=e/(2vx)
Period = pi - Amplitude = 2 - Vertical Shift up 3
x=3

45. cosine
Period = 2pi/3 - Amplitude = 2 - Phase Shift pi/3
The cofunction of sine
1
arcsin(-1)

46. p/4
arctan(-?v3)
y'=2xe²
arcsin(
(ln3)/3

47. p/4
arcsec(v2)
1
arccos
arctan(-?v3)

48. Ln(x+1)²=2 x=
2
e-1
v3/2
arccos(-

49. p
arcsec(-1)
-1/2
Period = pi - Amplitude = 2 - Horizontal Shift 3 left
y'=x²e^x + 2xe^x

50. -p/6
arctan(-?v3)
-1
x=-3
Make the sound of the fork louder