Solving linear equations with unknowns on both sides

Solving equations of the form a(ex+b)=c(fx+d)

Solving equations of the form a(x+b)=c(x+d)

Solving equations of the form ax+b=cx+d where 2<|a-c|<13

Solving equations of the form ax+b=cx+d where |a-c|=2

Solving three step linear equations.

Solving two step linear equations including a division.

Covering 1-3 step linear equations but not introducing brackets or an unknown on both sides.

Solving two step equations.

One step equations - just multiplication.

One step equations - just division.

One-step equation solving - just adding.

This question tests the student's ability to solve simple linear equations by elimination. Part a) involves only having to manipulate one equation in order to solve, and part b) involves having to manipulate both equations in order to solve. 

Simultaneous equations with at least one non-linear equation

Adding algebraic fractions with linear expressions in the numerators

Questions for practising algebraic methods for solving linear simultaneous equations

Solving a pair of linear simultaneous equations, giving answers as integers or fractions.

Solving a pair of linear simultaneous equations, giving answers as integers or fractions.

Solving a pair of linear simultaneous equations, giving answers as integers or fractions.

Solving a pair of linear simultaneous equations, giving answers as integers or fractions.

Given the following three vectors $\textbf{v}_1,\;\textbf{v}_2,\;\textbf{v}_3$ Find out whether they are a linearly independent set are not. Also if linearly dependent find the relationship $\textbf{v}_{r}=p\textbf{v}_{s}+q\textbf{v}_{t}$ for suitable $r,\;s,\;t$ and integers $p,\;q$.

This exercise will help you rearrange a linear equation to find the value of a given variable

Given a linear or a quadratic function and asked whether it is continuous. Part of HELM Book 2.4.

Find the unit vectors in the direction of four 3-dimensional vectors. Three of the vectors are given, and the fourth is expressed as a linear combination of two of the other vectors.

Calculating several linear combinations of three 3-dimensional vectors. 

Calculating several linear combinations of three 2-dimensional vectors. 

Find the unit vectors in the direction of four 2-dimensional vectors. Three of the vectors are given, and the fourth is expressed as a linear combination of two of the other vectors.

Solve linear equations with unknowns on one. Including brackets and fractions. Solutions may require rounding.

Solve linear equations with one unknown. Including brackets and fractions.

Solve linear equations with unkowns on both sides. Including brackets and fractions.