Transcript Document
Equations One and two step equations © Rosemary Vellar 1 step x+4=7 Instructions for use x4=7 There are 8 worked examples shown in this 4 x = 12 x =4 5 2 step 2x+1=7 3x1=5 x 1=3 2 PowerPoint plus additional graded exercises. A red dot will appear top right of screen to proceed to the next slide. You can either click on the navigation bar to the left of screen to go straight to one of the worked examples or use the buttons below. x +4=0 3 Golden rule Previous example Next example Graded exercises 1 step 2 step © Rosemary Vellar 1 step Golden rule x+4=7 x4=7 4 x = 12 x =4 5 2 step 2x+1=7 What you do to Think of the equation as having two sides. The left hand side (LHS) and the right hand side (RHS). LHS one side of an x 1 5 equation you 3x1=5 must do to the x 1=3 2 other side. The equals sign separates the two sides of the equation. x +4=0 3 Golden rule RHS Previous example Next example Graded exercises 1 step 2 step © Rosemary Vellar 1 step 1 step or 2 steps? x+4=7 x4=7 4 x = 12 x =4 5 2 step An equation is described as 1 step if one operation is required to find the solution. An equation is described as 2 step if two operations are required to find the solution. 2x+1=7 3x1=5 x 1=3 2 x +4=0 3 Golden rule Previous example Next example Graded exercises 1 step 2 step © Rosemary Vellar 1 step x+4=7 Question Solve the equation x + 4 = 7 x4=7 Your aim is to get x by itself Method 4 x = 12 x =4 5 2 step 2x+1=7 Start by writing the equation. x+4=7 Step 1 Subtract 4 from both sides of the equation. Remember equals 0 the golden rule! 3x1=5 x 1=3 2 To do this you must eliminate +4 Finish off by simplifying your answer. x +4=0 3 Golden rule Previous example Next example x+4 = 7 4 4 x= 3 Graded exercises 1 step 2 step equals 3 © Rosemary Vellar 1 step x+4=7 Question Solve the equation x 4 = 7 x4=7 Your aim is to get x by itself Method 4 x = 12 x =4 5 2 step 2x+1=7 3x1=5 x 1=3 2 To do this you must eliminate 4 Start by writing the equation. Step 1 Add 4 to both sides of the equation. Remember equals 0 the golden rule! Finish off by simplifying your answer. x +4=0 3 Golden rule Previous example Next example x4=7 x4 = 7 +4 +4 x = 11 Graded exercises 1 step 2 step equals 11 © Rosemary Vellar 1 step x+4=7 Question Solve the equation 4x = 12 x4=7 Method To do this you must undo 4 Your aim is to get x by itself 4 x = 12 x =4 5 2 step 2x+1=7 Start by writing the equation. 4 x = 12 Step 1 Divide both sides of the equation by 4. Remember 3x1=5 the golden rule! x 1=3 2 Finish off by simplifying your answer. x +4=0 3 Golden rule Previous example Next example 4 x 12 4 4 4 x 12 4 4 x 3 Graded exercises 1 step 2 step © Rosemary Vellar ss 1 step x+4=7 x4=7 Question x Solve the equation 5 4 To do this you must undo 5 Method 4 x = 12 x =4 5 2 step 2x+1=7 x 4 5 Start by writing the equation. Step 1 Multiply both sides of the equation Remember by 5. the golden rule! 3x1=5 x 1=3 2 Your aim is to get x by itself 5 Finish off by simplifying your answer. x +4=0 3 Golden rule Previous example x 5 4 5 5 Next example x 45 5 x 20 Graded exercises 1 step 2 step © Rosemary Vellar 1 step x+4=7 Question Solve the equation 2 x + 1 = 7 x4=7 Method 4 x = 12 x =4 5 2 step 2x+1=7 3x1=5 2x 1 7 1 1 2x 6 2 2 Step 1: Subtract 1 from both sides of the equation and simplify. Step 2: Divide both sides of the equation by 2 and simplify. x 3 Check your solution: x 1=3 2 23+1=7 x +4=0 3 Golden rule Previous example Next example Graded exercises 1 step 2 step © Rosemary Vellar 1 step x+4=7 Question Solve the equation 3 x 1 = 5 x4=7 Method 4 x = 12 x =4 5 2 step 2x+1=7 3x1=5 3x 1 5 +1 +1 3x 6 3 3 Step 1: Add 1 to both sides of the equation and simplify. Step 2: Divide both sides of the equation by 3 and simplify. x 2 Check your solution: x 1=3 2 321=5 x +4=0 3 Golden rule Previous example Next example Graded exercises 1 step 2 step © Rosemary Vellar 1 step x+4=7 x4=7 Question x 1 3 Solve the equation 2 Method 4 x = 12 x =4 5 2 step 2x+1=7 3x1=5 x 1 3 2 +1 +1 x 2 42 2 Step 1: Add 1 to both sides of the equation and simplify. Step 2: Multiply both sides of the equation by 2 and simplify. x 8 Check your solution: x 1=3 2 x +4=0 3 Golden rule Previous example Next example 8 1 3 2 Graded exercises 1 step 2 step © Rosemary Vellar 1 step x+4=7 x4=7 Question x 40 Solve the equation 3 Method 4 x = 12 x =4 5 2 step 2x+1=7 3x1=5 x 40 3 4 4 x 3 4 3 3 Step 1: Subtract 4 from both sides of the equation and simplify. Step 2: Multiply both sides of the equation by 3 and simplify. x 12 Check 12 your 40 solution: 3 x 1=3 2 x +4=0 3 Golden rule Previous example Next example Graded exercises 1 step 2 step © Rosemary Vellar 1 step x+4=7 x4=7 Last slide 4 x = 12 x =4 5 2 step 2x+1=7 3x1=5 Use the navigation buttons to repeat selected slides or to go to the graded exercises. x 1=3 2 x +4=0 3 Golden rule Previous example Next example Graded exercises 1 step 2 step