algebra test2

Here is the second test of Algebraic
GREATNESS.

Here are 10 problems to sharpen your thinking skills.	Very few people will get all ten correct the first time. If you get six correct, that is a great start.
Use paper and pencil and calculator as you like.	Be sure to check your answers at the end to see which ones you missed, and try to figure out what you did wrong. It is figuring out these mistakes that will make you stronger mentally.

1. If the lengths of the sides of a quadrilateral are
SQR(1), SQR(9), SQR(9), and SQR(8), then the
perimeter of the quadrilateral is
SQR(1+9+9+8)
9SQR(2)
7 + 2SQR(2)
18SQR(2)

2. For what integer x is 17(x + 3) a positive prime?
-2
0
2
1998

3. If a square's perimeter is 36x, then its area is
24x
24x²
36x²
81x²

4. 999 999 999 999²- 999 999 999 998² =
888 888 888 887
999 999 999 997
1 888 888 888 887
1 999 999 999 997

5. Of the following, which is closest in value to SQR(216)?
SQR(214)
SQR(215)
SQR(217)
SQR(218)

6. (x+1)(x+2)(x+3)(x+4) = (x² + 5x + 4) x ?
x²+ 5x + 6
x² + 4x + 3
x² + 3x + 2
x² + 2x + 1

7. Of the following, which must be true whenever x¹⁹⁹⁸ = y¹⁹⁹⁸ ?
x^999 = y^999
x^1997 = y^1997
x^1999 = y^1999
x^2000 = y^2000

8. The x-intercepts of 2x - 4y = 16 and ? are the same.
4x - 2y = 16
2x + 4y = 16
4y - 2x = 16
2y + 4x = 16

9. The expressions 2n+1, 2n+3, and 2n+5 are all positive primes if
n = 0 only
n = 1 only
n = 0 or 1
n = 2

10. If the roots of x² + ax + 12 = 0 are integers, then a is not
-13
-8
-7
-2

Score =
Correct answers:

When you have mastered this test, try the next one.

If you want to buy some test like this that are a lot longer:

Nine books of tests are available, Grades 4,5, & 6 (Volumes 1,2, & 3),
Grades 7 & 8 (Volumes 1, 2, & 3), High School (Volumes 1, 2, & 3), for
$12.95 each volume ($16.95 Canadian), from Math League Press,
P.O. Box 720, Tenafly, N.J. 07670.