Algebra

Factorise Single Brackets

100

Fully Factorise: 3x + 3y

3(x + y)

200

Fully Factorise: 15 + 3m

3(5 + m)

300

Fully Factorise: 6y - 24ya

6y(1 - 4a)

400

Fully Factorise: 8y - 32a

8(y - 4a)

500

Fully Factorise: 12xyz - 18xy

6xy(2z - 3)

Expand Single Brackets

100

Fully Expand: x(x + 5)

x² + 5x

200

Fully Expand: 3x(2x - 4)

6x² - 12x

300

Fully Expand: 4x(2y - 5x)

8xy - 20x²

400

Fully Expand: -3q(q - 3)

-3q² + 9q

500

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

-2x² - 2xy + 6x

Factorise Double Brackets

100

Fully Factorise: x² + 5x + 6

(x + 3)(x + 2)

200

Fully Factorise: x² + 9x + 20

(x + 5)(x + 4)

300

Fully Factorise: b² - 4b + 3

(b - 3)(b - 1)

400

Fully Factorise: y² - 10y + 24

(y - 6)(y - 4)

500

Fully Factorise: a² + 7a - 18

(a + 9)(a - 2)

Expand Double Brackets

100

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

x² + 5x + 6

200

Fully Expand: (x + 10)(x + 3)

x² + 13x + 30

300

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

y² + 3y - 28

400

Fully Expand: (a - 9)(a - 9)

a² - 18a + 81

500

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

20y² - 6j² - 2jy

Rearranging Formulas

100

Solve for x: x + 5 = 10

x = 5

200

Solve for x: 2x - 3 = 3

x = 3

300

Solve for x: 3x/6 = 5

x = 10

400

Solve for x: x² + 12 = 37

x = 5

500

Solve for x: 2(x + 7)/3 = 7

x = 7