1. Changing the Subject of a Formula – Function Machines – Bingo Method
Students should choose nine answers from the grid and place them
randomly into a 3x3 square in their book.
You may want to pause your display and choose questions
according to difficulty during the game.
Depending on time, students could win with
a line, an X, or a ‘full house’ (all).

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. Changing the Subject of a Formula using Funtion Machines
BINGO! 45 54 23 82 37 12 76 25 91
Changing the Subject of a Formula using Funtion Machines

4. Choose your numbers… 𝑥= 5𝑦−1 4 𝑥=5𝑦+4 𝑥=3𝑦2−4 𝑥= 4𝑦−5 2 𝑥= 𝑦+5 4 𝑥=3𝑦
𝑥= 𝑦+5 4
𝑥=3𝑦
𝑥= 2𝑦−4
𝑥=3𝑦+6
𝑥=5𝑦−10
𝑥= 𝑦−4
𝑥= 𝑦 5
𝑥= 𝑦−1 5
𝑥= 𝑦−4 3
𝑥=2𝑦2+5
𝑥=2𝑦−5
𝑥= 𝑦+3
Draw a 3x3 grid in your book.

5. Choose your numbers… 5𝑦−1 4 5𝑦+4 3𝑦2−4 4𝑦−5 2 𝑦+5 4 3𝑦 2𝑦−4 3𝑦+6 5𝑦−10
𝑦 5
𝑦−1 5
𝑦−4 3
2𝑦2+5
2𝑦−5
𝑦+3
Draw a 3x3 grid in your book.

6. Make 𝑥 the subject of this formula.
𝑦= 𝑥 3 𝑥 ÷3 𝑦 𝑥 ×3 𝑦
𝑥=3𝑦

7. Make 𝑥 the subject of this formula.
𝑦=5𝑥 𝑥 ×5 𝑦 𝑥 ÷5 𝑦
𝑥= 𝑦 5

8. Make 𝑥 the subject of this formula.
𝑦=3𝑥+4 𝑥
× 3
+ 4 𝑦 𝑥
÷ 3
− 4 𝑦
𝑥= 𝑦−4 3

9. Make 𝑥 the subject of this formula.
𝑦=5𝑥+1 𝑥 ×5
+ 1 𝑦 𝑥 ÷5
− 1 𝑦
𝑥= 𝑦−1 5

10. Make 𝑥 the subject of this formula.
𝑦= 𝑥+5 2 𝑥
+ 5 ÷2 𝑦 𝑥
− 5 ×2 𝑦
𝑥=2𝑦−5

11. Make 𝑥 the subject of this formula.
𝑦= 𝑥−4 5 𝑥
− 4 ÷5 𝑦 𝑥
+ 4 ×5 𝑦
𝑥=5𝑦+4

12. Make 𝑥 the subject of this formula.
𝑦= 𝑥 5 +2 𝑥 ÷5
+ 2 𝑦 𝑥 ×5
− 2 𝑦
𝑥=5𝑦−10

13. Make 𝑥 the subject of this formula.
𝑦= 𝑥 3 −2 𝑥 ÷3
− 2 𝑦 𝑥
× 3
+ 2 𝑦
𝑥=3𝑦+6

14. Make 𝑥 the subject of this formula.
𝑦=𝑥2+4 𝑥 𝑆𝑞
+ 4 𝑦 𝑥
𝑆𝑞𝑅
− 4 𝑦
𝑥= 𝑦−4

15. Make 𝑥 the subject of this formula.
𝑦=𝑥2−3 𝑥 𝑆𝑞
− 3 𝑦 𝑥
𝑆𝑞𝑅
+ 3 𝑦
𝑥= 𝑦+3

16. Make 𝑥 the subject of this formula.
𝑦= 2𝑥+5 4 𝑥 ×2
+ 5 ÷4 𝑦 𝑥 ÷2
− 5 ×4 𝑦
𝑥= 4𝑦−5 2

17. Make 𝑥 the subject of this formula.
𝑦= 4𝑥+1 5 𝑥 ×4
+ 1 ÷5 𝑦 𝑥 ÷4
− 1 ×5 𝑦
𝑥= 5𝑦−1 4

18. Make 𝑥 the subject of this formula.
𝑦= 𝑡+4 3 𝑥
+ 4 ÷3
𝑆𝑞𝑅 𝑦 𝑥
− 4
× 3 𝑆𝑞 𝑦
𝑥=3𝑦2−4

19. Make 𝑥 the subject of this formula.
𝑦= 𝑡−5 2 𝑥
− 5 ÷2
𝑆𝑞𝑅 𝑦 𝑥
+ 5 ×2 𝑆𝑞 𝑦
𝑥=2𝑦2+5

20. Make 𝑥 the subject of this formula.
𝑦= 𝑥2+4 2 𝑥 𝑆𝑞
+ 4 ÷2 𝑦 𝑥
𝑆𝑞𝑅
− 4 ×2 𝑦
𝑥= 2𝑦−4

21. Make 𝑥 the subject of this formula.
𝑦=4𝑥2−5 𝑥 𝑆𝑞 ×4
− 5 𝑦 𝑥
𝑆𝑞𝑅 ÷4
+ 5 𝑦
𝑥= 𝑦+5 4

23. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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