OS102 Underpinning Maths 2: Working with Equations 1

These flashcards cover key concepts related to equations, density, and the rules for manipulating simple equations in mathematics.

What is an equation?

An equation is a short-hand way of showing how two or more quantities are related, usually expressed in symbolic form.

What does density refer to in mathematics?

Density is defined as the mass per unit volume of a substance.

How is density mathematically represented?

Density (ρ) is represented as ρ = m/V, where m is mass and V is volume.

What do you do when you know 'b' and 'c' in the equation a = b + c?

You can solve for 'a' when 'b' and 'c' are known.

What is the basic rule for solving equations on both sides?

You can add or subtract anything as long as you treat both sides of the equation in the same way.

What happens to a term when it moves from one side of an equation to the other?

A + term becomes a - term and vice versa.

In the equation a = b + c, what is the equivalent of a - c?

a - c = b.

What is the purpose of practicing with equations?

Practice helps to reinforce understanding and mastery of how to manipulate equations.

What does multiplying or dividing by a number do in an equation?

It must be applied consistently on both sides of the equation to maintain equality.

In the equation a = bc, what happens if you move 'b' to the other side?

You will divide 'a' by 'b', resulting in a/b = c.