Help your students prepare for their Maths GCSE with this free solving equations worksheet of 32 questions and answers
Solving equations involves rearranging equations to make the unknown the subject in order to work out the solution. To rearrange an equation we use the inverse operation.
There are a variety of different types of equations to solve. The simplest equations are linear one-step equations, two step equations and multi-step equations. Equations can involve fractions and require the use of order of operations to correctly find the unknown variable. Linear equations can also involve brackets which can expanded and they may include an unknown variable on both sides of the equations. Equations involving a square root or indices may be solved in a similar way, by rearranging to make the unknown the subject.
Solving equations also requires solving quadratic equations. Quadratic equations often have two different solutions and can be solved using several different methods. One method involves setting the quadratic expression equal to zero and factorising it into brackets. The solutions can be found by considering each factor being equal to zero. Another method is to solve quadratic equations using the quadratic formula where the coefficients of the different terms are substituted into the quadratic formula. The solutions can be written as surds or decimals. The final method is completing the square which requires careful algebraic manipulation to rearrange the quadratic equations to give two solutions. The solutions are often given in surd form.
There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.
Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.
Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.