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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 .

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

2 .

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

3 .

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

4 .

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

5 .

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

6 .

What is the correct answer when you factorize 4x²y³ + 8xy²?

4xy²(x + 2)

4xy²(xy + 2)

4xy²(xy + 4)

4xy²(y + 2)

7 .

What is the common factor in the terms x² -5x?

-5

x is a part of both x² and 5x

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 .

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)

10 .

What is the common factor in the terms 3x - 9?

3 is a part of both 3x and 9

Author: Frank Evans

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