ALGEBRA

Like Terms

100

Simplify the Equation

4m + 6m + 3

= 10m + 3

200

Simplify the Equation 

4x + 5 + 3x -  2

= 7x + 3

300

Simplify the Equation

12x + 8y + 3x + 6y

= 15x + 14y

400

Simplify the Equation

3x - 2 (x + 3) = 4x - 7

= x = 1/3

500

Simplify the Equation

-20y + 15 = 2 - 16y + 11

= 1/2 = y

Expressions

100

Solve the expression

3x = 27

= 9

200

Solve the expression

2p(3pq - 5qt)

= 6p²q - 10pqt

300

Simplify the Expression 

9y + 6 - 7y - 3

=2y + 3

400

Solve the expression

-2/5y(10y - 3)

= -4y² + 6/5y

500

Solve the expression

(-8a³b²c) x (-2ab²c³)

= 16a³b⁴c⁴

Expanding Brackets

100

Expand the brackets

(x+2)(x+1)

= x^{2 +} 3x + 2

200

Expand the brackets and Simplify

5(4X+7)-2(3-6X)

= 32X+49

300

Expand the brackets and simplify

3(b - 8) + 9(b + 6) - 2b

= 10b + 30 

400

Expand the brackets

A² (2b - a) - a (3b² - a²)

= 2a²b - 3ab²

500

Expand the brackets

2(n - 1)(2n - 1) + (3n - 1)(n + 1) = 21

n = -10/7

Factorising

100

Factorise 

7x + 14

= 7(x + 2)

200

Factorise 

y² - 9y

= y(y - 9)

300

Factorise

21w²z - 77wx 

=7w(3wz - 11x)

400

Factorise

X² - 2x - 8

= (x + 2)(x - 4)

500

Factorise

x² - 9

= (x+3)(x−3)

Factorising Negative Terms

100

Factorise the following:

x²-5x+6

(x-2)(x-3)

200

Factorise the following:

x²+4x-5

(x+5)(x-1)

300

Factorise the following:

2x² + 5x - 3

(x+3)(2x-1)

400

Factorise the following:

2x²-6x-8

(2x+2)(x-4)

500

Factorise the following:

6x² - 17x + 12

(3x-4)(2x-3)