There is one basic rule that always applies to all equations. Figure 2: Equation scale for \scriptsize 2x+3=5 This is called a linear equation because the exponent on the \scriptsize x is \scriptsize 1. Now, if we have the expression \scriptsize 2x+3 on the left-hand side and the expression \scriptsize 5 on the right-hand side, the equation would be \scriptsize 2x+3=5 and the equation scale would look like Figure 2. We can think of the left-hand side and the right-hand side of the equation as being balanced (see Figure 1). In this way, we are told that the value of whatever is on the left-hand side of the equal sign is equal in value to whatever is on the right-hand side of the equal sign. In an equation, two mathematical expressions are equal to each other. What does the word ‘equal’ mean? What does it mean if we put two expressions on either side of an equal sign? Solving simple linear equationsīefore we start solving equations, let’s pause and think for a moment about what an equation is. You may already be familiar with how to solve equations, but just in case you are not, this unit is going to start from the very beginning by asking, ‘what is an equation?’. Here is a short self-assessment to make sure you have the skills you need to proceed with this unit. Work through Subject outcome 2.2, Unit 3 if you need to revise this. Work through Subject outcome 2.2, Unit 2 if you need to revise this. Work through Subject outcome 2.2, Unit 1 if you need to revise this. Solve equations with a single variable that is squared (quadratic equations) by factorisation.īefore you start this unit, make sure you can:.Solve equations with a single variable which are called linear equations.National Curriculum (Vocational) Mathematics Level 2īy the end of this unit you will be able to: Financial Maths: Use simple and compound interest to explain and define a variety of situations Financial Maths: Plan and manage personal and household finances Unit 3: Frequency polygons and line graphs Statistical and probability models: Represent data effectively Unit 3: Measures of dispersion of ungrouped data Unit 2: Measures of central tendency of ungrouped data Statistical and probability models: Calculate central tendencies and dispersion of data Space, shape and measurement: Solve problems by constructing and interpreting trigonometric models Space, shape and measurement: Solve problems by constructing and interpreting geometrical models Space, shape and measurement: Use and apply transformations to plot co-ordinates Unit 1: Plotting points on the Cartesian plane Space, shape and measurement: Use the Cartesian co-ordinate system to derive and apply equations Space, shape and measurement: Calculate perimeter, surface area and volume in two- and three-dimensional geometrical shapes Space, shape and measurement: Measure and calculate physical quantities
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