Maths Workout – Solving Equations 
           
          Solving Equations by Inspection 1                                                      Level 2 
          Solve a simple equation of the form x-2=5 by inspection 
                   1.  Demo: Solve an equation by inspection 
                   2.  Solve a simple equation of the form x+2=5 by inspection 
           Tasks   3.  Solve a simple equation of the form x+2=5 by inspection, some negative answers 
                   4.  Solve a simple equation of the form x-2=5 by inspection 
                   5.  Solve a simple equation of the form x-2=5 by inspection, some negative answers 
           
          Solving Equations by Inspection 2                                                      Level 2 
          Solve a simple equation of the form 2x=6, x/2=5 by inspection 
                   1.  Demo: Solve an equation by inspection  
                   2.  Solve a simple equation of the form 2x=6 by inspection  
                   3.  Solve a simple equation of the form 2x=6 by inspection, including some negative 
           Tasks      answers  
                   4.  Solve a simple equation of the form x/2=3 by inspection  
                   5.  Solve a simple equation of the form x/2=3 by inspection, including some negative 
                      answers 
           
          Solving Equations by Inspection 3                                                      Level 2 
          Solve a simple equation by inspection (x+4=12, 2x=4, x/2=5) 
           Tasks   1.  Solve a simple equation by inspection  
                   2.  Solve a simple equation by inspection 
           
          Solving Equations Using Formal Methods                                                 Level 3 
          Solve a simple equation of the form 2x+3=10, 6(x-3)=12 using formal methods 
           Tasks   1.  Demo: Solve a simple equation of the form 2x+3=10, 6(x-3)=12 using formal methods 
           
          Completing Simple Equations 1                                                          Level 3 
          Complete the solution to a simple equation of the form 2x+3x=10, 2x+1=7, x/2+3=5 
                   1.  Complete the solution to a simple equation of the form 2x+3x=10, 6x-3x=9 
                   2.  Complete the solution to a simple equation of the form 5x=2x+9 
           Tasks   3.  Complete the solution to a simple equation of the form 2x+1=7 
                   4.  Complete the solution to a simple equation of the form 2x-1=7 
                   5.  Complete the solution to a simple equation of the form x/2+1=7 
                   6.  Complete the solution to a simple equation of the form x/2-1=7 
           
          Completing Simple Equations 2                                                          Level 4 
          Complete the solution to a simple equation of the form 3(x+4)=15, 3(x+1)=x-8, 
          3(x+1)=3(x-8) 
                   1.  Complete the solution to a simple equation of the form 2(x+1)=8 
                   2.  Complete the solution to a simple equation of the form 2(x-1)=8 
           Tasks   3.  Complete the solution to a simple equation of the form 4x+1=2x+9 
                   4.  Complete the solution to a simple equation of the form 4(x+1)=2(x+3) 
                   5.  Complete the solution to a simple equation of the form 4(x-1)=2(x+3) 
                   6.  Complete the solution to a simple equation of the form -4(x-1)=2(x-3) 
           
                               Maths Workout – Solving Equations 
         Solving Simple Equations 1                                                    Level 3 
         Solve a simple equation of the form 2x+3x=10, 2x+1=7 
                 1.  Solve a simple equation of the form 2x+3x=10, 6x-3x=9 
          Tasks  2.  Solve a simple equation of the form 3x=-2t+10 
                 3.  Solve a simple equation of the form 3x+1=10 
                 4.  Mixed examples from tasks 1 to 3 
          
         Solving Simple Equations 2                                                    Level 4 
         Solve a simple equation of the form x/2+3=5, 3(x+4)=15, 3(x+1)=x-8, 3(x+1)=-3(x-8) 
                 1.  Solve a simple equation of the form x/2+3=10, x/2-3=9 
                 2.  Solve a simple equation of the form 2(x+1)=8, 2(x-1)=-5 
                 3.  Solve a simple equation of the form -2(x+1)=8, -(x-1)=5 
          Tasks  4.  Solve a simple equation of the form 4x+1=-2x-9 
                 5.  Solve a simple equation of the form 2(x+1)=8x+1, 2(x-1)=-8x+1 
                 6.  Solve a simple equation of the form -2(x+1)=8x+1, -(x-1)=-8x+1 
                 7.  Solve a simple equation of the form 4(x-1)=2(x+2) 
                 8.  Solve a simple equation of the form -4(x-1)=-2(x+2) 
          
         Solving Equations 1                                                           Level 4 
         Solve a simple equation of the form 2(x+1)=8, 2(x-1)=-5 
                 1.  Complete the solution to an equation of the form 4x+1=2x+9 
                 2.  Solve an equation of the form 4x+1=-2x-9 
          Tasks  3.  Using an equation to solve a problem 
                 4.  Solve a simple equation of the form 2(x+1)=8, 2(x-1)=-5 
                 5.  Solve a simple equation of the form -2(x+1)=8, -(x-1)=5 
          
         Solving Equations 2                                                           Level 4 
         Solve an equation of the form -4(x-1)=-2(x+2) 
                 1.  Complete the solution to an equation of the form 4(x+1)=2(x+3) 
                 2.  Complete the solution to an equation of the form 4(x-1)=2(x+3) 
          Tasks  3.  Complete the solution to an equation of the form -4(x-1)=2(x-3) 
                 4.  Solve an equation of the form 4(x-1)=2(x-2) 
                 5.  Solve an equation of the form -4(x-1)=-2(x+2) 
          
         Solving Equations 3                                                           Level 4 
         Solve an equation of the form 4(x-1)+3x=2(x+2)+3 
                 1.  Solve an equation of the form 4(x-1)+3=2(x+2) 
                 2.  Solve an equation of the form 3-4(x-1)=2(x+2) 
          Tasks  3.  Solve an equation of the form 3-4(2x-1)=2(5x+2) 
                 4.  Solve an equation of the form 4(x-1)+3x=2(x+2) 
                 5.  Solve an equation of the form 4(x-1)+3x=2(x+2)+3 
          
                                  
                               Maths Workout – Solving Equations 
          
         Solving Equations 4                                                          Level 4 
         Solve an equation of the form 2(x-2)+3(4-x)+3(x-2)=3(x+1)+4(x-1)+4 
                 1.  Solve an equation of the form 2(x-2)+3x-3(x-2)=3(x+1)-4(x-1)+4 
          Tasks  2.  Solve an equation of the form 2(x-2)+3(4-x)+3(x-2)=3(x+1)+4(x-1)+4 
                 3.  Solve equations of the form 2(x-2)+3(4-x)+3(x-2)=3(x+1)+4(x-1)+4 
          
         Solving Equations with Fractions 1                                           Level 5 
         Solve an equation with a fraction by multiplying both sides by the denominator 
                 1.  Demo: Solve an equation with a fraction by multiplying both sides by the denominator 
                 2.  Complete the solution to an equation of the form x/2+1=7 
          Tasks  3.  Complete the solution to an equation of the form x/2-1=7 
                 4.  Solve an equation of the form x/2+3=10, x/2-3=9 
                 5.  Complete the solution to a equation of the form (x+-1)/2=7, ½(x+-2)=8 
          
         Solving Equations with Fractions 2                                           Level 5 
         Solve an equation with a fraction by multiplying throughout by the denominator 
                 1.  Demo: Solve an equation with a fraction by multiplying throughout by the denominator 
          Tasks  2.  Solve an equation of the form (x+-1)/2+1=7, ½(x+-2)+x=8 
                 3.  Solve an equation of the form (x+-1)/x+1=x+1 ½(x+2)+x=2-3 
          
         Solving Equations with Fractions 3                                           Level 5 
         Solve an equation with up to 3 different denominators 
                 1.  Demo: Solve an equation with fractions by multiplying throughout by the LCM of the 
          Tasks     denominators 
                 2.  Solve an equation with up to 2 different denominators 
                 3.  Solve an equation with up to 3 different denominators 
          
         Solving Problems with Equations 1                                            Level 5 
         Solve a problem using algebraic modelling 
                 1.  Solve a problem using an equation 
                 2.  Solve a problem using an equation 
          Tasks  3.  Solve a problem using an equation  
                 4.  Solve a problem using an equation  
                 5.  Solve a problem using an equation  
                 6.  Solve a problem using an equation  
          
         Solving Problems with Equations 2                                            Level 5 
         Solve a problem using algebraic modelling 
                 1.  Solve a problem using an equation 
                 2.  Solve a problem using an equation 
          Tasks  3.  Solve a problem using an equation  
                 4.  Solve a problem using an equation  
                 5.  Solve a problem using an equation  
                 6.  Solve a problem using an equation 
          
                                   Maths Workout – Solving Equations 
          Trial & Improvement                                                                    Level 5 
          Find an approximate solution to an equation by trial and improvement 
                   1.  Demo: Find an approximate solution to an equation by trial and improvement (1 dp) 
                   2.  Find an approximate solution to an equation by trial and improvement (1 dp) 
                   3.  Demo: Find an approximate solution to a more complex equation by trial and 
                      improvement (1 dp) 
           Tasks   4.  Find an approximate solution to an equation by trial and improvement (1 dp) 
                   5.  Demo: Find an approximate solution to an equation by trial and improvement (2 dp) 
                   6.  Find an approximate solution to an equation by trial and improvement (2 dp) 
                   7.  Solve a problem by trial and improvement 
                   8.  Solve a problem by trial and improvement