Algebra II Sample Test

1. Given: = 3xy. Find xy²

(A) 3/2 (B) 4 (C) 8 (D) 16 (E) 64

2. If a man walks W miles in H hours, and then rides R miles in the same length of time, what is his average rate for the entire trip?

(A) (R + W)/H      (B) 2(R + W)/H

(C) (R + W)/2H      (D) H/(R -W)

(E) (RW -H)/2

3. Arrange a, b, and c in descending order of value, given that:

(A) a, b, c (B) b, c, a (C) a, c, b (D) c, b, a (E) c, a, b

4. Which of the following is equivalent to: x(x - 1) < x

(A) x < 1 (B) x < 2 (C) x < 0 (D) 0 < x < 2 (E) none of these

5. One-half of the student body at Cetco School study French, and one-third of the others study Spanish. The remaining 300 do not study any foreign language. How many students are there in this school?

(A) 260 (B) 550 (C) 900 (D) 1350 (E) 1800

6. Given that x and y are real numbers,

let S(x, y) = x² - y². Find S(3, S(3, 4)).

(A) -40 (B) -7 (C) 40 (D) 49 (E) 56

7. If a + b + c + d is a positive number, a minimum of x of the numbers a, b, c, and d must be positive, where x is equal to:

(A) 0 (B) 1 (C) 2 (D) 3 (E) 4

8. A silo is filled to capacity with W pounds of wheat. Rats eat r pounds of wheat per day. After 25 days, what percent of the silo's capacity have the rats eaten?

(A) 25r / W (B) 25r / 100W

(C) 2500(r / W) (D) r / W

(E) r / 25W

9.If x is a real number, then the quantity (1 - ½x½)(1 + x) is positive if and only if:

(A) ½x½ < 1 (B) x < 1 (C) ½x½> 1
(D) x < -1 (E) x < -1 or -1 < x < 1

10.The expression: cannot be evaluated for x = -1 orx = 2. For other values of x, this expression:

(A) takes on many different values
(B) has a value greater than 2 or less than -1
(C) always has a value between -1 and 2
(D) has just the value 1
(E) has just the value 2

Check your answers

Answers

1.C, 2.C, 3.D, 4.D, 5.C, 6.A, 7.B, 8.C, 9.E, 10.E