Algebra

Factorize Easy

100

Fully Factorise: 3x + 3y

3(x + y)

200

Fully Factorize 6x² - 15x

What is 3x(2x - 5)?

300

Fully Factorise: 6y - 24ya

6y(1 - 4a)

400

Fully factorize 20a²c - 30ac = 5ac ( 4a² - 6).

Spot the mistakes.

It should only be 4a and not 4a²

it should be 10ac(2a + 3) if fully factorized

500

Fully Factorise: 12xyz - 18xy

6xy(2z - 3)

Expand Easy

100

Expand and simplify 4(x − 1) + 3(2x + 5)

What is 10x + 11?

200

Fully Expand: 3x(2x - 4)

6x² - 12x

300

Fully Expand: (x + 3)(x + 2)

x² + 5x + 6

400

Fully Expand: (a - 9)²

a² - 18a + 81

500

Fully Expand: -2x(x + y - 3)

-2x² - 2xy + 6x

Find the HCF

100

The HCF of 3x² and 12x

What is 3x?

200

The HCF of 8ab² and 10ab

What is 2ab?

300

The HCF of 6c²d and 24cd²

What is 6cd?

400

The HCF of 14x³y and 56x²y²

What is 7x²y?

500

The HCF of 18x³ , 3x² and 6x

What is 2x?

Expand Hard

100

Fully Expand: (y - 4)(y + 7)

y² + 3y - 28

200

Expand and Simplify 2(7y − 3x) − 8(x − 4y)

What is 46y - 14x?

300

Fully Expand: (5y - 3j)(2j + 4y)

20y² - 6j² - 2jy

400

Fully Expand: (2a + 8)² 

What is 4a² + 64 + 32a? 

500

Expand and simplify (m − 3)(2m + 3) 

  

What is 2m² -3m - 9?

Factorize Hard

100

Factorize 7w² - 6x - wy

What is  w( 7w - 6 - wy)?

200

Factorize 11g²h + 22h²

What is 11h(g² + 2h)?

300

Explain why 8x + 3y cannot be factorized. 

There are no common factors between them.

400

Factorize -10w³z + 15w²z²  - 25wz²

What is 5wz( -2w² + 3wz - 5z)

500

Factorize 4xy² + 6xy + 2x²y

What is 2xy( 2y + 3 + x)?