This involves substituting the given values in the expression and solve carefully

Ex: given that a = 3, b = 2 and c = 3

(ab)² / c = (3*2)² / 3 = 4

The distributive property

It is very in the signification of algebraic expressions. It states that for every variables x, y and z

x(y + z) = xy + xz

(x + y)z = xz + yz

x(y - z) = xy – xz

2(l + w) = 2l + 2w

4(2l + 3l) = 8l + 12l = 20l

Addition of algebraic terms

This is done by bringing together like terms

Ex: simplify

a) 16u + 4u = (16 + 4)u = 20u

b) 4a + 3b – 2a + b = (4 - 2)a + (3 + 1)b = 2a + 4b

c) 3a² – 2a² + a² = (3 – 2 + 1)a² = 2a²

d) 3a + 2c + ab – 4c = 3a + ab + 2c – 4c = a(3 + b) + c(-2)

Multiplication of algebraic quantities

a * a = a²

5b * 3b = (5 * 3) (b * b) = 15b²

cd * c = c * c * b = c²b

-e * 2f² = -2ef²

Addition and subtraction of algebraic fractions

Ex: simplify

 3u+5b4- a-3b2

3a+5b-2(a-3b)        = 3a+5b-2a+6b4 = a+11b4