In this lesson we will learn how to substitute numbers into more complicated formulas. Rob uses real formulas and real examples from Science in this lesson. This lesson takes you to New Zealand where you will see Dolphins chasing boats and jumping out of the water, Mt Everest on a very cold day and to the Eiffel Tower in France.

The questions covered in this lesson are all real equations and real life examples: i) Using the formula $KE$ = $\frac{{mv}^2}{2}$, find the kinetic energy, $KE,\ $of a dolphin with a mass of 300kg and velocity of 15m/s. ii) Using the formula $F$ = $\frac{9}{5}^\circ{C}$ + 32, a warm day on Mt. Everest is -$10^\circ{C}$, convert this temperature into Fahrenheit. iii) Using the formula $t$ = $\sqrt{\frac{2h}{g}}$, calculate the time it takes a 2 pence to fall from the Eiffel Tower, $h$ = 325 and $g$ = 9.8

Substituting numbers into formula, part 1

Substituting numbers into formula, part 2

Introduction to Algebra

Simplifying Expressions

Simplifying Powers

Multiplying Out Brackets

Multiplying Out Double Brackets

Factorising into Single Brackets

Substituting Numbers into Formula

Rearranging Formula

Rearranging Formula when the Subject Appears Twice (Higher Only)

Sequences

Finding the nth Term of a Quadratic Sequence (Higher Only)

Solving Equations

Solving Equations Using Number Machines

Forming and Solving Linear Equations

Inequalities

Solving Inequalities

Direct Proportion

Inverse Proportion

Straight Line Graphs

Finding Gradients and Equations of Lines between 2 Points

Graphs of Inequalities (Higher Only)

Factorising Quadratics

Completing the Square (Higher Only)

Solving Quadratic Equations (Higher Only)

Forming and Solving Quadratic Equations (Higher only)

Quadratic Graphs (Higher Only)

Further Graphs

Solving Equations Using Graphs (Higher Only)

Simultaneous Equations

Simplifying Algebraic Fractions (Higher Only)

Solving Equations Containing Algebraic Fractions (Higher Only)

Transformations of Graphs (Higher Only)

Transformations of Trigonometric Graphs (Higher Only)

Trigonometric Graphs and Exact Values