4.05 Simplify, factorise and manipulate equations

What does factorising mean in the context of engineering mathematics?

• Putting into brackets

• Solving equations

• Multiplying terms

• Dividing coefficients

What is essential to be able to factorise an expression?

• Each term must contain a variable

• The expression must include a subtraction

• The terms outside the bracket must be exactly the same

• All terms must be divisible by the number 2

When rearranging a formula, what might you need to do with the value you want to find?

• Isolate it on one side of the equation

• Multiply it by 100

• Add it to each term

• Divide it by the coefficient

In the given examples, what mathematical operation is frequently used to rearrange formulas?

• Factorising

• Subtracting a constant

• Multiplying by a coefficient

• Dividing by a variable

What is the result of rearranging the formula to make F the subject in Example 2?

• TF = TC + 32

• TF = (180(TC))/100 + 32

• TF = (TC - 32) * 180/100

• TF = TC * 100/180 + 32

How do you make 'x' the subject in Example 4?

• x = (5y - 6)/hy

• x = hy/(5y - 6)

• x = (5y)/(hy + 6)

• x = 5y/(hy + 6)

What is the final step in rearranging the formula in Example 5?

• Cubing the entire equation

• Subtracting F from both sides

• Multiplying by 3

• Dividing by -3

What common factor is identified in the factorising example?

• x and y

• 9 and y

• 45 and 27

• 9 and x

What is the purpose of rearranging formulas in engineering?

• To isolate a specific variable

• To simplify the calculation

• To convert all constants to variables

• To eliminate all variables

What type of mathematics is considered essential for engineering and manufacturing according to the text?

• GCSE maths

• Essential mathematics

• Everyday maths

• Physics