test 1algebra

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.

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.