Welcome to Algebra.

The quiz will randomly run 20 questions from Algebra which you have to answer in 10 minutes.

After 10 minutes, your quiz will automatically be submitted and scored.

You can retake the quiz as many times as you want and a different set of questions will be given. The answers will also be randomly arrange.

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1.
The sum of two numbers is 21 and their product is 108. Find the sum of their reciprocals.

2.
A 50 meter cable is divided into two parts and formed into squares. If the sum of the areas is 100 sq. meter, find the difference in length?

3.
If a =b, the b = a. This illustrates which axiom in algebra?

4.
Ana is 5 years older than Beth. In 5 years, the product of their ages is 1.5 times the product of their present ages. How old is Beth now?

5.
The roots of a quadratic equation are 1/3 and ¼. What is the equation?

6.
Find the sum of the first term of the geometric progression 2,4,8,16,…

7.
Determine B such that 3x + 2y – 7 = 0 is perpendicular to 2x – By + 2 = 0

8.
Ten less than four times a certain number is 14. Determine the number

9.
Find the ratio of an infinite geometric series if the sum is 2 and the first term is ½

10.
If 16 is 4 more than 4x, find x-1

11.
Find the coordinates of the point P(2, 4) with respect to the translated axis with origin at (1, 3

12.
A piece of wire is shaped to enclose a square whose area is 169 sq cm. It is then reshaped to enclose a rectangle whose length is 15 cm. The area of the rectangle in sq. meteris

13.
Ana is 5 years older than Beth. In 5 years, the product of their ages is 1.5 times the product of their present ages. How old is Beth now

14.
In the equation ÿ=mx+b, m represents the

15.
Determine x, so that: a, 2x + 4, 10x – 4 will be a geometric progression

16.
Mary is 24. She is twice as old as Ann was when Mary was as old as Ann now. How old is Ann now?

17.
When a certain polynomial p(x) is divided by (x-1), remainder is 12. When the same polynomial is divided by (x-4), the remainder is 3. Find the remainder when the polynomial is divided by (x-1)(x- 4)

18.
Q=25 when t=0. Q=75 when t=2. What is Q when t=6?

19.
Pedro can paint a fence 50% faster than Juan and 20% faster that Pilar and together they can paint a given fence in 4 hours. How long will it take Pedro to paint the same fence if he had to work alone?

20.
The sum of the digits of a two digit number is 11. If the digits are reversed, the resulting number is seven more than twice the original number. What is the original number?

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