*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 *x*^{2} - 9*x* + 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

2.

Factorize the following expression into a pair of linear brackets *x*^{2} - 5*x* - 6

(*x* - 1)(*x* - 6)

(*x* - 1)(*x* + 6)

(*x* + 1)(*x* - 6)

(*x* + 1)(*x* + 6)

3.

What are the highest common factors in 4*x*^{2}*y*^{3} + 8*x**y*^{2}?

2 and *x* and *y*^{2}

4 and *x*

4 and *x* and *y*^{2}

4 and *y*

4.

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

3

6

9

3 is a part of both 3*x* and 9

5.

Factorize the following expression into a pair of linear brackets *x*^{2} + 8*x* + 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 *x*^{2} -5*x*?

2

5

-5

7.

What is the correct answer when you factorize *x*^{2} -5*x*?

The common factor is placed outside the brackets

8.

What is the correct answer when you factorize 3*x* - 9?

3(*x* - 3)

3(*x* + 3)

The common factor is placed outside the brackets

9.

Factorize the following expression into a pair of linear brackets *x*^{2} + 7*x* + 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

10.

What is the correct answer when you factorize 4*x*^{2}*y*^{3} + 8*x**y*^{2}?

4*x**y*^{2}(*x* + 2)

4*x**y*^{2}(*x**y* + 2)

4*x**y*^{2}(*x**y* + 4)

4*x**y*^{2}(*y* + 2)

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