Maths genie solving equations

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We can use inverse operations to solve an equation: The opposite of adding is subtracting The opposite of multiplying is dividing. To get b by itself we need to get rid of the 5 At the moment b is multiplied by 5, the opposite of multiplying by 5 is dividing by 5. To get c by itself we need to get rid of the 4 At the moment c is divided by 4, the opposite of dividing by 4 is multiplying by 4. Sometimes the answer to an equation is not a whole number. In these cases we can leave our answer as a fraction. When the unknown what we are working out appears on both sides of the equation, the first step is to get them on the same side.

Maths genie solving equations

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Solving linear equations means finding the value of the variable s given in the linear equations. It has a degree of 1 or it can be called a first-degree equation. Sometimes, we may have to find the values of variables involved in a linear equation. When we are given two or more such linear equations, we can find the values of each variable by solving linear equations. There are a few methods to solve linear equations.

Maths genie solving equations

Here we will learn about forming and solving equations, including how to form linear equations from situations and solve them and how to form quadratic equations and solve them. Forming and solving equations is when we are given a mathematical situation which is, or can be, described using algebraic expressions. We can use the algebraic expressions and information about the situation to form an equation. We can then solve the equation to find the solution. To do this we need to understand the situation and be able to write about it using algebraic expressions. Form an expression for P in terms of x. We can then solve the equation to find the value of x, by using inverse operations. An expression is a number of algebraic terms combined by adding, subtracting, multiplying and dividing whereas an equation sets two expressions equal to each other. Includes reasoning and applied questions. Forming and solving equations is part of our series of lessons to support revision on solving equations.

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Gradients of Straight Line Graphs. Repeated Percentage Change. Sin Cos and Tan Graphs. Solving Inequalities. Simultaneous Equations Linear. Email address. Sign Up Now. Rules of Indices. Reverse Percentages. Cosine Rule.

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Differentiation with Graphs. Unit and Conversion. Parallel Lines. Repeated Percentage Change. Nets of 3D Shapes. Fractions and Recurring Decimals. Grouped Frequency Tables. Select your exam board:. Surface Area of 3D Shapes. Your personal data will be used to support your experience throughout this website, to manage access to your account, and for other purposes described in our privacy policy. Expanding Single Brackets. Proof Higher. Learn an entire GCSE course for maths, English and science on the most comprehensive online learning platform. Set Notation.