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

The video tutorial covers simplifying fractions by factorizing the numerator and denominator, focusing on the difference of squares and quadratic factorization. It explains the allocation of marks for such questions and emphasizes the importance of practice. The tutorial also demonstrates rearranging formulas, specifically making a variable the subject, using factorization techniques.

What is the result of factorizing the expression X^2 - 16?

• (X + 16)(X - 1)

• (X + 2)(X - 8)

• (X + 8)(X - 2)

• (X + 4)(X - 4)

Which pair of factors is used to factorize 2X^2 - 5X - 12?

• 2X - 4 and X + 3

• 2X - 3 and X + 4

• 2X + 3 and X - 4

• 2X + 4 and X - 3

How many marks are allocated for the factorization question discussed?

• One mark

• Two marks

• Four marks

• Three marks

What is the first step in rearranging the formula W = 15(t - 2V)/V to make V the subject?

• Divide both sides by 15

• Subtract 2V from both sides

• Multiply both sides by V

• Add 15 to both sides

After expanding the brackets in the formula rearrangement, what expression do you get?

• 15T - 30V

• 15T + 30V

• 15T - 2V

• 15T + 2V

What is the final expression for V after rearranging the formula?

• V = 15T / (W + 30)

• V = 15T / (W - 30)

• V = 15T / (W - 15)

• V = 15T / (W + 15)

Which step is crucial for earning a mark in the formula rearrangement process?

• Adding 30 to both sides

• Multiplying both sides by V

• Expanding the brackets

• Dividing by W + 30