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. sin p/2
-v3/2
y'=((cosx)(2x+3)+(x²+3x+5)sinx)/ cos²x
y'=((x²+3x+5)(cosx)-sinx(2x+3))/(x²+3x+5)²
1


2. log3x=4
e-1
x=81
v3/2
x=3


3. sin 5p/6
y'(1/8)=66
arcsec(-v2)
2
1/2


4. sin 11p/6
-v3
Period = pi - Amplitude = 2 - Vertical Shift up 3
infinite
-1/2


5. p/3
2
y'=2p
arcsec 2
infinite


6. -p/3
x=-3
arccos(-
y'=7/x³
arctan(-v3)


7. sin 5p/4
v2/2
106/7
-v2/2
y'=((cosx)(2x+3)+(x²+3x+5)sinx)/ cos²x


8. y = -2 sin ( x ) + 3
arctan(-?v3)
Period = 2pi - Amplitude = 2 - Vertical Shift up 3 - flip over the x-axis
arcsec(v2)
y'=((x²+3x+5)(cosx)-sinx(2x+3))/(x²+3x+5)²


9. 21=5e^(x-1) - 4 n=
y'=e/(2vx)
ln5+1
2
y'=7/x³


10. 2p/3
-v3/2
arctan 1
arcsec(-2)
Period = 2pi - Amplitude = 2 - Vertical Shift up 3 - flip over the x-axis


11. y=v(x)/e

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12. p/3
-v3/2
0
arccos(-1)
arcsin(


13. log5(5x + 1) = log5(5) x=
y'=2p
4/5
y'=14x
-1/2


14. 5(6³n)=20 n =
Period = pi - Amplitude = 3 - Vertical Shift up 1
(log64)/3
y'=sinp(2x+3)
v2/2


15. tan 5p/6
1
-v3/3
arccos(
3n


16. tan 5p/4
Period = pi - Amplitude = 2 - Horizontal Shift 3/2 left
1
arccos(-1)
x=125


17. Ln(x+1)²=2 x=
v3
e-1
2
x=-3


18. Log2(2x+5)=Log2(x+6) x=
Amplitude = 2 - Flip over the x-axis - Frequency = 3/2pi
arctan 0
arctan(v3)
1


19. y=ev(x)

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20. undefined
The cofunction of sine
x=-3
arcsin(-3)
y'=sinp(2x+3)


21. p/2
Period = 2pi/3 - Amplitude = 2 - Phase Shift pi/3
arctan(-v3)
arccos 0
y'=(2x+3)sinx+cosx(x²+3x+5)


22. y=2cos(3x+pi)
v3/2
-v2/2
1/2
Period = 2pi/3 - Amplitude = 2 - Phase Shift pi/3


23. p/3
x=3
arctan(v3)
y'(1/8)=66
Amplitude = 2 - Flip over the x-axis - Frequency = 3/2pi


24. log28=x
1
x=3
y'=((x²+3x+5)(cosx)-sinx(2x+3))/(x²+3x+5)²
Period = 4pi - Up 1 - amplitude = 1


25. cos 5p/6
The cofunction of sine
arcsin(-3)
100/3
-v3/2


26. 11=3e²n-1 n=
The frequency of the tuning fork is smaller.
v3/2
arctan(-?v3)
(ln4)/2


27. How do you calculate the amplitude from a set of sinusoidal data?
(log64)/3
e8
arcsin 2
Take the highest minus the lowest value and divide by 2


28. cos p
-1
100/3
-v3/2
arctan 0


29. sin 3p/2
arcsec 2
arcsec(-v2)
-1
y'=1/(2evx)


30. tan 7p/4
-1
1
arccos
y'=x²e^x + 2xe^x


31. cos 2p
-1/2
v2/2
1
arcsec 1


32. p/4
y'=cosx(2x+3) - sinx (x²+3x+5)
U
arcsin(
- sine


33. y=x²e^x

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34. y=2e^x+p²

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35. -p/4
Get a tuning fork with a different frequency.
arcsin(-
arctan(?v3)
-v2/2


36. sec 0
1
y'(1/8)=66
y'=2xe²
y'=e/(2vx)


37. p/3
arccos
y'=x²e^x + 2xe^x
arccos(v3)
(e


38. y=7(x²+9)

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39. lne³n
3n
2
9
e-1


40. p
arccos(-2)
arccos(-1)
Take the highest minus the lowest value and divide by 2
y'=((x²+3x+5)(cosx)-sinx(2x+3))/(x²+3x+5)²


41. y=x²e²

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42. y=(x²+3x+5)/cosx

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43. The reciprocal of the period
-v3/2
frequency
v2/2
(log64)/3


44. log216=x
arctan 0
v3
x=4
-1


45. cos 4p/3
1
arctan 1
v3/3
-1/2


46. undefined
-v3/2
The cofunction of sine
arcsec 1
arccos(v3)


47. 7Log(3x)=14 x=
100/3
U
arccos(-
arcsec(v2)


48. y=100vx

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49. -p/6
100/3
x=3
arctan(v3)
arctan(-?v3)


50. 0
106/7
arctan 0
(ln3)/3
y'(4)=25