Here is the first test of Algebraic
GREATNESS.

Below are 10 questions that are designed
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.


give it your best shot

1. 10x - 9x + 8x - 7x + 6x - 5x + 4x - 3x + 2x - x =
x
5
5x
10x

2. If x + y = 0, then x2 =
0
y2
-y2
-x2

3. I'm thinking of a number: Its square is greater than
25, and its cube is less than 125.  My number could equal

10
7
-5
-144

4. How many values of x satisfy
x2  - 4 = 0?
x-2   x-2


0
1
2
4

5. (x - x)(x2 - x)(x3 - x)(x4 - x)(x5 - x) =
x15 - x
x15 - x5
x10
0

6. SQR(x) + SQR(4x) + SQR(9x)
SQR(6x)
SQR(14x)
SQR(25x)
SQR(36x)

7. If (x + a)(x + 2) = x2 - x - 6 for all real numbers x,
then a =

3
-3
8
-8

8.I played the saxophone for as many hours as the number
of real values of x for which SQR(x) + 2 = 0.  I played the
saxophone for ? hours.

blow that horn baby
zero
one
two
four

9. x% of 1/x =
x
1
1/x
1/100

10. Multiply the reciprocal of a positive number by the opposite
of that same number. The product is

-1
0
1
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.

 

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