Solving Linear Equations (Edexcel IGCSE Maths): Exam Questions

Solve $3 ( x - 2 ) = x + 7$

Solve $\frac{2-y}{5}=1$

Simplify $5x+4y+x-7y$

Solve $7 ( x + 2 ) = 7$

$x=3$

Work out the value of $4x^{2}$

Solve $5x+4=14+x$

Solve $4 ( x + 3 ) = 2 x + 8$

Solve $5 x - 6 = 3 ( x - 1 )$

Steve is asked to solve the equation $5 ( x + 2 ) = 47$

Here is his working.

$\begin{gathered} 5 ( x + 2 ) & = 47 \\ 5 x + 2 & = 47 \\ 5 x & = 45 \\ x & = 9 \end{gathered}$

Steve's answer is wrong.

What mistake did he make?

Solve $5(4--x)=7--3x$

Show clear algebraic working.

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

Solve $y=\frac{2y+1}{5}$

Show clear algebraic working.

$y=$

Solve $4x-13=17+8x$

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

Solve $5(x+3)=3x--4$ Show clear algebraic working.

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

Solve $10x=62.4--3x$

Solve $2x-4=27$

Solve $\frac{5w-8}{3}=4w+2$

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

Solve $\frac{15-x}{5}=3x+11$

Solve $7 ( k - 3 ) = 3 k - 5$

Solve $\frac{7-3f}{4}=2$

Solve $\frac{11-w}{4}=1+w$

Solve $\frac{5-x}{2}=2x-7$

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   $\frac{2x-2}{7}+\frac{3x+5}{2}=3$

Show clear algebraic working.

Solve $\frac{8x+2}{3}=2x+6$

Solve $4(3x-2)=2x-5$

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

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

Show clear algebraic working.

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

Show clear algebraic working.

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 $5 ( f - 3 ) = f + 10$

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 = ...............................................

Solve $(2x+5)^{2}=(2x+3)(2x--1)$

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

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

Show clear algebraic working.

$x=$

The functions $f$and $g$ are defined as

$\begin{gathered} \mathrm{f} ( x ) & = x^{2} + 6 \\ \mathrm{g} ( x ) & = x - 10 \end{gathered}$

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

Show clear algebraic working.

Solve the equation.

$3(x-4)+\frac{x+2}{5}=6$

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