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 4p/3
y'=cosx(2x+3) - sinx (x²+3x+5)
Amplitude = 2 - Flip over the x-axis - Frequency = 3/2pi
-v3/2
Period = 2pi/3 - Vertical Shift up 3 - Amplitude = 3 - flipped over the x and y axis.


2. -p/4
arcsec(-2)
arcsin(-
arcsec(-1)
arctan(-1)


3. cos 2p
1
-v2/2
arccos(
arccos(-1)


4. y=2e^x+p²

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5. y=sinx(x²+3x+5)

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6. tan p/6
-v3/2
Period = pi - Amplitude = 3 - Vertical Shift up 1
v3/3
-1


7. 4=3e4n+1 n=
0
y'=sinp(2x+3)
-1
infinite


8. p/4
-v3/2
arccos(
v3
x=81


9. undefined
arcsin(-3)
1/2
arcsin 2
arccos(


10. log216=x
x=-3
y'=14x
x=4
y'=(2x+3)sinx+cosx(x²+3x+5)


11. y=7(x²+9)

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12. cosine
The cofunction of sine
arctan(-1)
Period = pi - Amplitude = 2 - Horizontal Shift 3/2 left
1


13. If the period of the graph of a tuning fork is larger
y'(1/8)=0
The frequency of the tuning fork is smaller.
(ln3)/3
v3/3


14. 3p/4
-1/2
arccos(-2)
no solution
arcsec(-v2)


15. 2p/3
arcsec(-2)
arctan(-?v3)
arccos(-
2/5


16. p/2
arcsin 1
Period = pi - Amplitude = 2 - Horizontal Shift 3 left
ln5+1
v2/2


17. -p/3
1
x=6
arcsin(-
v3


18. sin 3p/2
2/5
period
-1
v3/2


19. sin p/4
2/5
y'=-2sin²x+2cos²x
v2/2
arccos 0


20. sin 7p/6
-v3/2
-1/2
2/5
y'=(-14x)/(x²+9)²


21. cos 4p/3
x=81
1
v3/3
-1/2


22. sin 5p/6
1/2
y'=2xe²
y'=sinp(2x+3)
y'=-2sin²x+2cos²x


23. p/4
arcsin(
y'=((cosx)(2x+3)+(x²+3x+5)sinx)/ cos²x
arcsec(-2)
x=4


24. 3³n=27 n=
y'=x²e^x + 2xe^x
-1
3n
1


25. sin 11p/6
1
-1/2
-v3/2
y'=cosx(2x+3) - sinx (x²+3x+5)


26. cos p/4
-v3/2
arcsin 2
v3/2
v2/2


27. -p/6
1
-v2/2
x=-3
arctan(-?v3)


28. How could you affect the period of a graph made by a tuning fork?
y'(1/8)=0
Get a tuning fork with a different frequency.
Period = 2pi - Amplitude = 2 - Up three - Flips over the y-axis
2


29. What is the base of log5125?
3n
5
arcsin(
y'=cosx(2x+3) - sinx (x²+3x+5)


30. y=2cos(3x+pi)
3n
Amplitude = 2 - Flip over the x-axis - Frequency = 3/2pi
Period = 2pi/3 - Amplitude = 2 - Phase Shift pi/3
v3/2


31. 4+Log(7x)=10 x=
arcsec 2
-1/2
period
106/7


32. y=-1/x+2x

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33. 0
0
2/5
Period = pi - Amplitude = 2 - Horizontal Shift 3/2 left
arccos 1


34. The time it takes to complete on cycle of a triginometric graph
arccos(-
period
Period = pi - Amplitude = 2 - Horizontal Shift 3 left
x=3


35. log5(5x + 1) = log5(5) x=
x=125
4/5
y'(1/8)=0
U


36. -p/4
arctan(-1)
arcsec(-2)
1/2
-v3


37. y=cosx(x²+3x+5)

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38. p
1/2
arctan(?v3)
100/3
arcsec(-1)


39. 10e³n-7=23 n=
arcsin 1
(ln3)/3
-v3
Get a tuning fork with a different frequency.


40. How could you affect the amplitude of a graph made by a tuning fork?
arccos(-1)
- sine
9
Make the sound of the fork louder


41. Log4(x)-Log4(x-1)=1/2 x=
arctan(-1)
e8
arcsec(v2)
2


42. sin 7p/4
-v2/2
-1/2
y'=x²e^x + 2xe^x
arcsin 1


43. tan 11p/6
arccos(
arcsin(-3)
v3/2
-v3/3


44. sin 5p/4
(e
-v2/2
arccos
U


45. log3 (5x + 7) = 2 x=
2/5
frequency
arccos(-1)
v2/2


46. p/6
Period = 2pi - Amplitude = 2 - Up three - Flips over the y-axis
-v3/2
-1
arcsin


47. y=cos(1/2x)+1
Period = 4pi - Up 1 - amplitude = 1
v3/2
The frequency of the tuning fork is smaller.
Arcsine


48. 5p/6
arccos(
arccos(-
-v2/2
1


49. cos 3p/4
arctan(?v3)
-v3/3
-v2/2
arccos(-2)


50. Ln(x+1)²=2 x=
e-1
v3
-v3/3
1/2