The University of North Carolina at Pembroke  
Participants in Mathematics Contest

HomeDegrees
Faculty and Staff
Mathematics Contest
Student AwardsInteresting Links
Contact Us

Department of Mathematics and Computer Science
Mathematics Contest

Algebra I Sample Test

1.Which of the following is the equation of a line that is perpendicular to the line whose equation is 3x - 9y = 4?

(A) 3y = x + 2 (B) x - 3y = 5 (C) 3x + y = -2 (D) x + 3y = 7 (E) none of these

2.The numerator and denominator of a fraction are in the ratio 2:3. If 6 is subtracted from the numerator, the result will be a fraction that has a value 2/3 that of the original fraction. What is the numerator of the fraction?

(A) 4 (B) 6 (C) 9 (D) 18 (E) 27

3.Let R = gT - 4. If T = 8 when R = 16, find R when T = 10.

(A) 11 (B) 14 (C) 20 (D) 21 (E) none of these

4.The gas tank of a car can hold g gallons. If a gallons were removed when the tank was full, what part of the contents of the tank were removed?
(A) g - a      (B) g/a       (C) a/g      (D) (g - a)/a      (E) (g - a)/g

5. If one minus the reciprocal of (1 - x) equals the reciprocal of (1 - x), then x equals:

(A) -2        (B) -1        (C) 0.5        (D) 2       (E) 3

6.One form of the multiplicative inverse of : is?

(A) (B)

(C) (D)

(E)

8. What will my percentage increase for the next two years be if I get a 5% increase in salary next year and a 6% increase the following year?

(A) 5.5% (B) 11% (C)11.3% (D) 11.7% (E) 12%

9.A girl has $2.73 in pennies, nickels, dimes, quarters, and half dollars. If she has an equal number of each kind, then the total number of coins she has is:

(A) 3 (B) 5 (C) 9 (D) 10 (E) 15


Check your answers





































Answers


1. C, 2.D, 3.D, 4.C, 5.B, 6.A, 7.E 8.C, 9.E

     
The University of North Carolina at Pembroke Updated: Friday, November 16, 2007
© 2001 The University of North Carolina at Pembroke
Department of Mathematics & Computer Science
PO Box 1510
Pembroke, NC 28372-1510
Phone: 910.521.6244
Fax: 910.522.5755
Email: mathcs@uncp.edu