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

The video tutorial explains how to solve the equation X^3 - X^2 = 30 using a trial and improvement method. The teacher starts with a trial value of 3.5 and adjusts it based on whether the result is too large or too small. The process involves refining the solution to two decimal places and ensuring the final answer is to one decimal place. The tutorial emphasizes the importance of showing all work and avoiding common mistakes, such as confusing trial results with the final answer. The video also outlines the marking scheme for the problem.

What is the initial trial value chosen for solving the equation X^3 - X^2 = 30?

• 3.0

• 3.25

• 3.5

• 4.0

After calculating with the trial value of 3.5, what was the result compared to the target value of 30?

• Not calculated

• Exact

• Too small

• Too big

Which trial value was found to be too small when refining the solution?

• 3.5

• 3.47

• 3.48

• 3.4

What is the final solution to the equation X^3 - X^2 = 30, rounded to one decimal place?

• 3.48

• 3.4

• 3.47

• 3.5

What is a common mistake students make when providing the final answer?

• Using the trial value instead of the result

• Not showing any calculations

• Not rounding to one decimal place

• Choosing a value outside the given range