A-level Mathematics/OCR/C1/Equations/Solutions

< A-level Mathematics < OCR < C1 < Equations

Manipulating Equations

Collecting Like Terms

2x
$4x^2$
$3x^3 + 5x$
$3zy + 2y + 2z$
$-x^2 + 4x^2y - 4xy^2 + 7xy$

Multiplication

$4x^2$
$18x^2y^2$
$36ab^2xz$
$60x^5y^4z^2$
${\sqrt{x^5}}$

Fractions

$x$
$\frac{7x}{12}$
$\frac{16xy}{15}$
$2x - y + z$
$\frac{x^2+y^2}{xy}$

Solving Equations

Changing the Subject of an Equation

Solve for x.
$x = \frac{y}{2}$
Solve for z.
$z = \frac{x - 8}{3}$
Solve for y.
$y = b^2$
Solve for x.
$x = \sqrt {y + 9}$
Solve for b.
$b = \frac{6y + 7z}{6}$

Solving Quadratic Equations

Find the Roots of:

$x = -2\ or\ 3$
$x = 7\ or\ \frac{3}{2}$
$x = 2\ or\ 3$
$x = -1\ or\ 0$
$x = -3\ or\ 4$

Simultaneous Equations

$a = 4, s = 2$
$c = \frac{2}{5}, d = 1$
$b = 7, g = 12$

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