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Algebra - Factorization

This Math quiz is called 'Algebra - Factorization' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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'Factorizing' a number means breaking it down into smaller objects, or factors, which when multiplied together give the original. With numbers it's easy but with letters it's a little more complex.

This Math quiz will give you plenty of practice.

1.
What is the correct answer when you factorize x2 -5x?
x(x - 5)
x(x + 5)
x(x2 - 5)
x(x2 + 5)
The common factor is placed outside the brackets
2.
Factorize the following expression into a pair of linear brackets x2 + 7x + 6
(x + 1)(x + 6)
(x - 1)(x + 6)
(x + 1)(x - 6)
(x - 1)(x - 6)
To check each of the answers it is necessary to multiply out the brackets. Remember that each term in each bracket is multiplied by each term in the other bracket
3.
Factorize the following expression into a pair of linear brackets x2 - 9x + 8
(x + 1)(x + 8)
(x +1)(x - 8)
(x -1)(x - 8)
(x -1)(x + 8)
After you have factorized several expressions you will begin to see patterns emerging that enable you to quickly arrive at the correct answer
4.
What is the common factor in the terms 3x - 9?
x
3
6
9
3 is a part of both 3x and 9
5.
Factorize the following expression into a pair of linear brackets x2 + 8x + 12
(x - 2)(x - 6)
(x - 2)(x + 6)
(x + 2)(x - 6)
(x + 2)(x + 6)
6.
What is the common factor in the terms x2 -5x?
2
5
-5
x
x is a part of both x2 and 5x
7.
What is the correct answer when you factorize 3x - 9?
3(x - 3)
3(x + 3)
x(3 - 3)
x(3 + 3)
The common factor is placed outside the brackets
8.
Factorize the following expression into a pair of linear brackets x2 - 5x - 6
(x - 1)(x - 6)
(x - 1)(x + 6)
(x + 1)(x - 6)
(x + 1)(x + 6)
9.
What is the correct answer when you factorize 4x2y3 + 8xy2?
4xy2(x + 2)
4xy2(xy + 2)
4xy2(xy + 4)
4xy2(y + 2)
10.
What are the highest common factors in 4x2y3 + 8xy2?
2 and x and y2
4 and x
4 and x and y2
4 and y
Author:  Frank Evans

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