LEVEL 3
INTERMEDIATE ALGEBRA TEST
TYPICAL QUESTIONS FROM COMPETENCY AREAS
Elementary Numeric and Algebraic Operations
c
2
d
c 2d
c2
c2
(A)
(B)
(C)
d 2
d
d
Rational Expressions
cd
1
1
d c
cd
(A)
dc
(B)
dc
cd
Exponents and Radicals
3 27
(A) 6
(B) 3 3
(D) c 2d
(E) c
(C) dc
(D) – dc
(E)
(C) 4 3
(D) 10 3
(E)
Linear Equations; Inequalities; Absolute Value
If 3x 2 y 8 and y x 1, then x
6
7
(A) –6
(B)
(C)
5
5
1
dc
30
(D)
9
5
(E) 2
(D)
3
4
(E)
Polynomials; Quadratic Equations
One of the roots of x 2 3 x 4 0 is
(B)
(A) –2
4
3
(C)
3
4
4
3
The Coordinate Plane and Graphing
Which of the following is an equation of a line with slope 3 and y-intercept –4 ?
1
(A) y x 4
(B) y 3x 4
(C) y 3x 4
3
(D) y 4 x 3
(E) y 4 x 3
Functions and Logarithms
If log10 x log10 y 3 , then xy
(A) 0.001
(B) 1.0
(C) 10
(D) 100
(E) 1000
Word Problems
A student who correctly answered 72 questions on a test received a score of 75%. How many questions were
on the test?
(A) 54
(B) 72
(C) 75
(D) 96
(E) 104
Answers: 1. A
2. C
3. C
4. E
5. B
6. B
7. E
8. D