Linear Equations (OCR GCSE Maths: Higher): Exam Questions

Solve   $\frac{5w-8}{3}=4w+2$

Solve  $\frac{4\left(8x-2\right)}{3x}=10$

Solve         $\frac{15-x}{5}=3x+11$

Solve      $7\left(k-3\right)=3k-5$

Solve   $\frac{7-3f}{4}=2$

Solve        $\frac{11-w}{4}=1+w$

Solve        $\frac{5-x}{2}=2x-7$

Solve.

$\frac{x}{x+6}=5$

$x=$..............................

Solve  $6x-5=\frac{4x-7}{2}$

Show clear algebraic working.

x = ......................................... 

Solve   $4-3x=\frac{5-8x}{4}$

Show clear algebraic working.

$x=$.............................

Solve $3(2x-5)=\frac{9-x}{2}$

Show clear algebraic working.

$x$ = ...................

Solve $\frac{5x-3}{4}=2x+3$

Show clear algebraic working.

$x=$ .............................................

Solve  $\frac{x+15}{3}=2\left(x+10\right)$

Solve $4(3x-2)=2x-5$

$x$ = ....................

Solve      $\frac{4x-1}{5}+\frac{x+4}{2}=3$

Solve                $\frac{x+1}{3}+\frac{2x+5}{4}=2$

Solve    $\frac{x+2}{3x}+\frac{x-2}{2x}=3$

Solve      $5\left(f-3\right)=f+10$

Solve   $\frac{h+7}{3}+\frac{2h-1}{2}=\frac{5}{6}$

Solve   $\frac{3x-2}{4}-\frac{2x+5}{3}=\frac{1-x}{6}$

Solve  $\frac{9a-7}{5}-\frac{3a-7}{4}=4.55$

Show clear algebraic working.

a = ...............................................

The functions $\mathrm{f}$and $\mathrm{g}$ are defined as

$\begin{array}{rcl}\mathrm{f}\left(x\right)& =& x^2+6\\ \mathrm{g}\left(x\right)& =& x–10\end{array}$

Solve the equation $\mathrm{fg}\left(x\right)=\mathrm{f}\left(x\right)$

Show clear algebraic working.

Solve $(2x+5{)}^2=(2x+3\left)\right(2x–1)$

$x=$ ......................................

Solve  $\frac{8-2x}{3}-\frac{2x-3}{2}=4$

Show clear algebraic working.

$x=$

Solve the equation.

$3(x-4)+\frac{x+2}{5}=6$   

$x$ = ..............................................