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Simultaneous Equations – Linear & Non-Linear Graphically

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Presentation on theme: "Simultaneous Equations – Linear & Non-Linear Graphically"— Presentation transcript:

1 Simultaneous Equations – Linear & Non-Linear Graphically
– Higher – GCSE Questions These questions are the same format as previous GCSE exams. COPY means they use the exact same numbers as the original GCSE question. Otherwise, they are clone questions using different numbers. The worksheets are provided in a variety of sizes.

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 GCSE GCSE Edexcel Higher: June 2018 Paper 2, Q16
(a) On the grid, draw the graph of x2 + y2 = 20.25 1 (a) On the grid, draw the graph of x2 + y2 = 20.25 y y 6 6 4 4 2 2 -6 -4 -2 O 2 4 6 -6 -4 -2 O 2 4 6 x x -2 -2 -4 -4 -6 -6 (2) (2) (b) Hence find estimates for the solutions of the simultaneous equations x2 + y2 = 20.25 3x + y = 3 (b) Hence find estimates for the solutions of the simultaneous equations x2 + y2 = 20.25 3x + y = 3 (3) (3) (Total for Question 1 is 5 marks) (Total for Question 1 is 5 marks)

4

5 GCSE Edexcel Higher: June 2018 Paper 2, Q16 1
(a) On the grid, draw the graph of x2 + y2 = 20.25 y 6 4 2 -6 -4 -2 O 2 4 6 x -2 -4 -6 (2) (b) Hence find estimates for the solutions of the simultaneous equations x2 + y2 = 20.25 3x + y = 3 (3) (Total for Question 1 is 5 marks)

6 𝑥=0 𝑦=0 𝑦2= 20.25 𝑥2= 20.25 𝑦=4.5 𝑥=4.5 GCSE 𝑥 = 2.3 𝑦 = -3.8
Edexcel Higher: June 2018 Paper 2, Q16 1 (a) On the grid, draw the graph of x2 + y2 = 20.25 y 6 4 2 -6 -4 -2 O 2 4 6 x -2 -4 𝑥=0 𝑦2= 𝑦=4.5 𝑦=0 𝑥2= 𝑥=4.5 -6 (2) (b) Hence find estimates for the solutions of the simultaneous equations x2 + y2 = 20.25 3x + y = 3 𝑥 = 2.3 𝑦 = -3.8 𝑥 = -0.5 𝑦 = 4.5 (3) (Total for Question 1 is 5 marks)

7 tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!? Any feedback would be appreciated . Please feel free to


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