GCSE Secondary Maths Age 13-17 - Algebra: Algebra - Explained

The video tutorial explains how to solve an algebraic fraction problem by combining terms and simplifying expressions. It starts with an introduction to the problem, followed by detailed steps to combine the first two terms and then the result with a third term. The tutorial emphasizes the importance of having a common denominator and carefully expanding brackets. The final section provides the solution and explains the marking scheme, highlighting the importance of understanding algebraic fractions.

What is the form of the single fraction that combines the given algebraic expressions?

• aX + b / X^2 + 9

• aX + b / X^2 - 9

• aX^2 + b / X + 9

• aX^2 + b / X - 9

When combining the first two terms, what is the resulting expression?

• X + 8 / X + 3

• X - 8 / X - 3

• X - 8 / X + 3

• X + 8 / X - 3

What is the common denominator used when combining the first two terms with the third term?

• X^2 - 9

• X^2 + 9

• X + 3

• X - 3

What is the expression for the numerator after expanding X - 8 bracket X + 3?

• X^2 - 5X + 24

• X^2 + 5X + 24

• X^2 - 5X - 24

• X^2 + 5X - 24

What is the final value of A in the expression aX + b?

• 3

• 4

• 5

• 6

What is the final value of B in the expression aX + b?

• -18

• -24

• -42

• -9

How many marks are awarded for correctly expanding both sets of brackets?

• 2 marks

• 4 marks

• 1 mark

• 3 marks