1.1 Background Algebra

Question 1

How do you rewrite an expression as the product of multiple numbers or expressions?

Answer 1

Factorisation.

Question 2

Collecting Terms. (Terms can be collected to reduce the number of numbers and variables in the equation.)

Simplify the following:
2x + 4y - 5z - 5x - 9y + 2z + 4x - 7y + 8z = ?

Answer 2

2x - 5x + 4x +4y - 9y - 7y - 5z +2z + 8z

= x - 12y +5z

Question 3

Removing Brackets.

3(2x - 4y) - 4(x - 5y) = ?

Answer 3

= 6x - 12y - 4x + 20yk
= 2x - 12y + 20y
= 2x + 8y

Question 4

Multiplying Variables.

a x b = ?
y x y = ?

Answer 4

a x b = ab

y x y = y^2

Question 5

Fractions.

x/2 - 2y/10 + z/4 = ?

Answer 5

(The Common Denominator is 20)

= 10x/20 - 4y/20 + 5z/20
= (10x - 4y +5z)/20