Manipulation of Formulae (Junior Cert Mathematics): Flashcards

Rearranging an equation to make a different variable the subject

A variable by itself on one side of the equation

Remove brackets, fractions, or square roots

Move all terms with wanted variable to LHS

Left-Hand Side where you want your variable

Factor out the variable if necessary

Divide both sides to isolate the variable

Reverse the operation (addition becomes subtraction)

Multiply every term on both sides

Square every term on both sides of the equation

$y = 6 - \frac{3x}{2}$

$x = \frac{5}{4}$

$h = \frac{A^2}{2}$

Expand the brackets, then solve by isolating the variable

$x = 5$