1. = This set of tiles represents the equation 2x + 2 = 6. Solving Two-Step Equations xx 1 1 1 1 1 1 1 1 2x=6+ 2 © NorledgeMaths

2. = We can take 2 red unit tiles off both sides of the equation. Solving Two-Step Equations xx 1 1 1 1 1 1 1 1 2x=4 © NorledgeMaths

3. = We can share out the red tiles equally between the x tiles. Solving Two-Step Equations xx 1 1 1 1 x = 2 © NorledgeMaths

4. We could represent this algebraically as follows: Solving Two-Step Equations 2x + 2=6 - 2 2x=4 ÷ 2 x=2 Take off the 2 red tiles Share the red tiles out between the 2 x tiles. © NorledgeMaths

5. This set of tiles represents the equation 2x - 4 = 12. = Solving Two-Step Equations xx 1 11 1 1 1 1 2x = 12 - 4 1 1 1 1 1 1 © NorledgeMaths

6. We can add red +1 tiles to cancel out blue -1 tiles. Remember we must keep it balanced! = Solving Two-Step Equations xx 1 1 1 1 1 1 2x=16 1 1 1 1 1 1 1 1 We must add the same tiles on to both sides to keep the equation balanced. 1 1 11 1 1 © NorledgeMaths

7. We then share out the red tiles between the x tiles. = Solving Two-Step Equations xx 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 x = 8 © NorledgeMaths

8. We could represent this algebraically as follows: Solving Two-Step Equations 2x - 4=12 + 4 2x=16 ÷ 2 x=8 Add on 4 red tiles to cancel out the blues. Share the red tiles out between the 2 x tiles. © NorledgeMaths

9. Now solve these equations. You must show your method, and you can use the algebra tiles to help you. 1)2x + 1 = 17 2)4x + 3 = 23 3)5x + 7 = 17 4)5x + 6 = 21 5)5x + 7 = 17 6)3 + 4x = 23 7)4x + 7 = 19 8)4 + 5x = 34 9)7x + 6 = 34 10)10 + 4x = 26 11)2x – 4 = 20 12)3x – 7 = 14 13)5x – 4 = 26 14)3x – 6 = 9 15)3x – 2 = 10 16)6x – 1 = 29 17)5x – 5 = 45 18)7x – 12 = 9 19)3x – 8 = 22 20)8x – 4 = 84 Challenge: Write 3 equations of your own with the answer x = 5. © NorledgeMaths

10. Now solve these equations. You must show your method, and you can use the algebra tiles to help you. 1)2x + 1 = 17 2)4x + 3 = 23 3)5x + 7 = 17 4)5x + 6 = 21 5)5x + 7 = 17 6)3 + 4x = 23 7)4x + 7 = 19 8)4 + 5x = 34 9)7x + 6 = 34 10)10 + 4x = 26 11)2x – 4 = 20 12)3x – 7 = 14 13)5x – 4 = 26 14)3x – 6 = 9 15)3x – 2 = 10 16)6x – 1 = 29 17)5x – 5 = 45 18)7x – 12 = 9 19)3x – 8 = 22 20)8x – 4 = 84 Challenge: Write 3 equations of your own with the answer x = 5. x = 8 x = 5 x = 2 x = 3 x = 2 x = 5 x = 3 x = 6 x = 4 x = 12 x = 7 x = 6 x = 5 x = 4 x = 5 x = 10 x = 3 x = 10 x = 11 © NorledgeMaths