Math (algebra)

What does 'reverse Bodmas' refer to in solving equations?

It means to address addition and subtraction first before moving other terms across the equation.

What should you do if you have an exponent and brackets on one side of the equation?

Move the exponent first before addressing other operations.

When solving expressions like (a + b)^2, how should it expand?

It expands to a^2 + 2ab + b^2, not a^2 + b^2.

What is the order of operations when solving equations according to BODMAS/BIDMAS?

Brackets, Orders (Powers and Roots), Division and Multiplication, Addition and Subtraction.

What must you do to maintain equality when performing operations on both sides of an equation?

You must perform the exact same operation on both sides.

What does it mean to combine like terms in an expression?

It means to group and simplify terms with the same variable or constant.

What is the first step when beginning to solve an equation?

Simplify both sides of the equation as much as possible using BODMAS/BIDMAS rules.

Why is it important to check your solution after solving an equation?

To confirm that the derived solution satisfies the original equation.

What happens to the sign of an exponent when moving it across the equation?

The sign must be adjusted accordingly (e.g., a^{1/5} becomes a^5).

How does multiplication distribute over addition or subtraction in an expression?

It multiplies each term inside the brackets separately (e.g., a(b + c) = ab + ac).