Solving Simultaneous Equations Graphically: Foundation Tier Practice - Worksheets, Questions and Revision

9 original exam-style questions - 3 pages of questions with a full mark scheme - free printable PDF.

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5.12F Solving Simultaneous Equations Graphically: Foundation Tier Practice

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 55 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Work out the coordinates of the intersection of the lines y = 2x + 1 and y = x + 3.
(Total for Question 1 is 1 mark)
2
A graph shows the lines y = -x + 4 and y = 1/2 x + 1. Work out the x-coordinate of their intersection.
(Total for Question 2 is 2 marks)
3
On a grid, the line L1 has equation y = 3 and the line L2 has equation x = 4. Give the coordinates of their intersection point.
(Total for Question 3 is 1 mark)
4
The graphs of y = 2x - 1 and y = -x + 5 are drawn on the same axes. Show how to find the intersection by solving the two equations and give the intersection coordinates.
(Total for Question 4 is 3 marks)
5
Two straight lines are drawn from a shop example: the cost y for buying x items from shop A is modelled by y = 5x + 2 (pounds), and from shop B by y = 4x + 6 (pounds). Use algebra to find how many items make the same cost in both shops, and state that cost.
(a)Work out the number of items x for which the cost is the same in both shops.(2)
(b)State the common cost in pounds.(2)
(Total for Question 5 is 4 marks)
6
A student draws two lines on graph paper: y = x + 2 and y = -2x + 8. They think the intersection is at x = 3. Use substitution to check whether x = 3 is correct and state the correct intersection coordinates.
(a)Substitute x = 3 into both equations and show whether the y-values are equal.(2)
(b)Solve algebraically to find the correct intersection coordinates.(2)
(Total for Question 6 is 4 marks)
7
Two lines are drawn on a graph: y = 0.5x + 1 and y = 0.5x + 4. Explain whether these lines intersect. Give the reason.
(Total for Question 7 is 2 marks)
8
On the same axes, the lines y = 6 and y = x + 2 meet. Work out the x-coordinate where they meet and give the intersection point.
(Total for Question 8 is 2 marks)
9
The lines y = 3x - 2 and y = x + 4 intersect. Work out the coordinates of the point of intersection.
(Total for Question 9 is 2 marks)
Mark scheme · 5.12F Solving Simultaneous Equations Graphically: Foundation Tier Practice

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9