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:
Scroll Down for Correct Answers
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
7) Quadratic 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.
17) Exponents, Adding fractions
18) Factoring, Difference of cubes ,( should also know difference of squares and
sum of cubes )
19) Evaluation of trigonometric functions.
20) Laws of logarithms
