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Assessment # 4- Precalculus Diagnostic Assessment (Sample problems)
This is a sample of some of the types of problems you will find on the Precalculus
assessment given on specific Assessment dates. The actual assessment consists of 40
questions -you will have 60 minutes and will not be allowed to use a calculator. Print
this assessment and try the problems, without a calculator, giving yourself about 25
minutes. The answer key is at the end of the example assessment.
PLEASE NOTE: CALCULATORS ARE NOT ALLOWED AT ASSESSMENT TESTING. IT IS
BEST TO STUDY WITHOUT THE Am OF A CALCULATOR.
I.
Elementary operations with numerical and algebraic fractions
3x-2
2
x+2
x-2
-----=
3
(A)--
3x-4
(B)
-2-
x+2
2.
X
-4
X
xa+3
3t +4
(A)
-6
(B) --
x2-4x+4
3
9
9
(C) -
(E) There is no value of t satisfying this equation.
(D) -
2
4
Polynomials and polynomial equations
-4)+ 2(x-l)(x+
If (x-I)(x2
(A)x2-2
2) = (x-I)P,
(B)x2
then P =
(D)x2+2
(C)x(x+2)
(E)
2
and g(x)=I-x ,then
-3
(A)
(B)
-I
(C)
f(g(2))=
1
(D)
2
(E)
9
Trigonometry
sin
If
e=~
and 0 ~
5
e ~ 7r , then
e=
tan
2
3
5
4
(B) -
(A) -
2
4
(C) -
3
3
(D) -
(B) -
5
4
4
Logarithmic and exponential functions
log, 27
=
(A)
81
(B)
9
(C)
1
3
1
(D) -
(E) -
3
8.
(X+2)2
Functions
If f(x)=2x+5
7.
-4
= 2?
4
6.
X
3x(x-4)
(E) ---'---'!'"
Linear equations and inequalities
2t -I
5.
-4
2
xa-3
(B)
For what value of t does --
4.
(D)
Operations with exponents and radicals
(A)
3.
x(3x-IO)
3x
(C)-2-
9
Mathematical 'modeling - word problems
2
If -
1
4
2
5
is - of - ofa certain number, then that number is
3
15
(A) -
4
ANSWERS:
5
5
(B) -
(C) -
3
(I) D
(D) -
(3) B
(E) -
12
6
(2) A
5
(4) C
(5) B
4
15
(6) E
(7) C
(8) B