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Transcript

This icon indicates the slide contains activities created in Flash. These activities are not editable. This icon indicates teacher’s notes in the Notes field. For more detailed instructions, see the Getting Started presentation. 1 of 6 © Boardworks Ltd 2011 Linear equations Linear equations are the easiest type of equation to solve because the unknown is not raised to any power other than 1. We can solve linear equations by rearrangement. We must do the same operation on both sides of the equals sign. For example: Add 19 to both sides: Example 2: Divide both sides by 7: 2 of 6 x – 19 = – 8 x = 11 7x = 42 x=6 © Boardworks Ltd 2011 Linear equations When more than one operation is performed on the unknown we need to solve the equation in several steps. For example, subtract 5 from both sides: divide both sides by 4: 4x + 5 = 29 4x = 24 x=6 Check that 4 × 6 + 5 is equal to 29 in the original equation. 3 of 6 © Boardworks Ltd 2011 Equations with unknowns on both sides In some cases the unknown appears on both sides of the equals sign. For example: 8x – 2 = 2x + 1 We need to work systematically to get the unknowns on the left and the numbers on the right. Remember to perform the same operations on both sides. unknowns add 2 to both sides: subtract 2x from both sides: divide both sides by 6: 4 of 6 numbers 8x – 2 = 2x + 1 8x = 2x + 3 6x = 3 x = 0.5 © Boardworks Ltd 2011 Equation solving 3 5 of 6 © Boardworks Ltd 2011 Scales 6 of 6 © Boardworks Ltd 2011