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May 22nd

May 22nd

Directions: You should plan on finishing the exam in under 1 hour. Part of the needs of Calculus 1 are not only to know certain algebra and trigonometry topics, but be able to fairly quickly have them at your fingertips. The thread of calculus can easily be lost if you are struggling with the necessary background mathematics . Once you have taken your practice test, check your answers with the correct ones given on the reverse side of this sheet.

Once you have taken your practice test, check your answers with the correct ones given below, and then check the topical list to de termine your deficiencies .

1. If , then simplifies to :
A) sinx
B) cosx
C) cotx
D) secx
E) cscx

2. The ex pression simplifies to:

3. If , and a and b are any positive numbers , then is equivalent to:

4. The domain of

5. The angle 150 in radian measure is given by:

6. Solve for x:

A) x = − 2.2 B) x = 2 C) x = − 1 D) x = 1.1 E) None of these.

7. One solution to the equation is:

8. What is the number equal to?

A) .01 B) 10 C) 1000 D) .1 E) 100

9. If what is the compostion

10. Solve for x.

A) 1025 B) 21 C) 101 D) 99 E) None of these.

11. The function is not defined for:

12. In the right triangle shown, a = 8 and c = 10, find tan A

13. One solution to the equation

14. The expression simplifies to: (Ignore the domain change when simplified.)

15. Find the equation of the line through the two points (5,3) and (−1,6).

16. If the inverse function is:

17. is equivalent to:

18. The expression may be factored as :

19. The exact value of is

20. The expression is equivalent to:

Correct Solutions:

1) A 2) B 3) A 4) D 5) D 6) E 7) C 8) B 9) B 10) C
11) A 12) D 13) E 14) D 15) B 16) B 17) D 18) C 19) D 20) A

Question Related Topics
1) Basic definitions of trigonometric functions
2) Laws of exponents
3) Exponential functions, laws of exponents
4) Functions, solution of inequalities
5) Relationship between radians and degrees
6) Linear Equations
8) Exponents, roots
9) Composition of functions
10) Converting logarithmic equations to exponential equations
11) Basic definitions of trigonometric functions and their domains
12) Triangle trigonometry, Pythagorean Theorem
13) Solutions of Rational Equations
14) Simplifying compound fractions
15) Slope, Equations of a line
16) Finding inverses of functions.