Mathematics Exam Examples Math Diagnostic Testing Project (Mdtp) Page 2
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1
2Math Diagnostic Testing Project
(MDTP)
Level 4 - Pre - Calculus Competency
Level 3 - Intermediate Algebra Competency
This exam measures how well you understand the material
This exam measures how well you understand the material
covered in a precalculus course (40 questions -
covered in an intermediate algebra course (45 questions -
60 minutes). Possible placements are Math 3A, 2 or take
45 minutes). Possible placements are Math 11, 124, 112, 7,
lower test.
8, 10, 253, 205 or take lower test.
Elementary Operations with Numerical and Algebraic
Elementary Numeric and Algebraic Operations
Fractions
(1)
c
+ 2 =
d
(1) 3x - 2
-
2
=
A) c + 2d
B) c + 2
C) c + 2
D) c + 2d
x + 2
x - 2
d
d + 2
d
A)
3
B) 3x - 4 C)
3x
D) x(3x - 10)
Rational Expressions
x + 2
x
- 4
x
- 4
x
- 4
2
2
2
(2) c - d =
Operations with Exponents and Radicals
1/d - 1/c
(2) x
=
3a + 2
A) c - d/dc
B) dc/(c - d)
C) cd
D) - cd
x
2a - 1
Exponents and Radicals
A) x
B) x
C) x
D) x
a + 3
a - 3
5a - 1
a + 1
(3) 3 + 27 =
A) 6
B) 3 3
C) 4
3
D) 10 3
Linear Equations and Inequalities
Linear Equations; Inequalities; Absolute Value
(3) For what value of t does
2t - 1
= 2?
(4) If 3x + 2y = 8 and y = x - 1, then x =
3t + 4
A) -6
B) 6/5
C) 7/5
D) 2
A) - 6
B) - 9/4
C) 3/2
D) 9/4
Polynomials; Quadratic Equations
Polynomials and Polynomial Equations
(5) One of the roots of
(x - 2) (3x + 4) = 0 is
(4) if (x - 1) (x
- 4) + 2(x - 1)(x + 2) = (x - 1)P, then P =
2
A) - 2
B) - 4/3
C) - 3/4
D) 3/4
A) x
- 2
B) x
C) x(x + 2)
D) x
+ 2
2
2
2
The Coordinate Plane and Graphing
(6) Which of the following is an equation of a line slope 3
Functions
and a y-intercept -4 ?
y = _________
(5) If f(x) = 2x +5 and g(x) = 1 - x
, then f(g(2)) =
2
A) 1/3x - 4
B) 3x -4
C) 3x + 4
D) 4x + 3
A) -3
B) -1
C) 1
D) 2
E) 9
Functions and Logarithms
Trigononmetry
(7) if log
x + log
y = 3, then xy =
10
10
(6) if sin θ = 3/5 and 0 < θ < π/2 , then tan θ =
A) 0.001
B) 1.0
C) 10
D) 1000
A) 3/2
B) 4/3
C) 5/4
D) 4/5
E) 3/4
Word Problems
(8) A student who correctly answered 72 questions on a
Logarithmic and Exponential Functions
test received a score of 75%. How many question were
(7) log
27 =
3
on the test?
A) 81
B) 9
C) 3
D) 1/3
E) 1/9
A) 54
B) 72
C) 75
D) 96
Word Problems
(8) if 2/3 is 1/2 of 4/5 of a certain number, then that
Although this is a placement test, to give the
number is
student a current reflection of their abilities,
A) 15/4
B) 5/3
C) 5/6
D) 5/12
E) 4/15
no preparation is expected.
Additional suggestions to review math problems
Students may take the same math level to challege
* Review math books used for a specific level in the college bookstore.
placement after 3 months.
* Look at GED, CBEST or GRE review books at public bookstores
* Ask L.A.P. for help to review, if currently in courses.
You may take a different level test with no time restric-
* Web Site:
tions. Read College's catalog for more information.
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