Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Graphs 7
18 practice questions
Practice questions
11–18 of 18
Question 11
4 marks · Normal
Answer and see the solution →The graph below shows the curve for .
Graph of \( y = x^2 - 4x + 2 \) on \( 0 \leq x \leq 5 \) (a)[2 marks]Use the graph to estimate the solutions of for .
(b)[2 marks]By drawing a suitable straight line on the graph, use it to solve the equation for .
Question 12
4 marks · Normal
Answer and see the solution →A student draws the graph of for .
Table of y-values x y -2 -1 -1 3 0 1 1 -1 2 3 3 19 Question 13
2 marks · Normal
Answer and see the solution →The graphs of and intersect at point A. This point has coordinates (1, 1).
Write down the solutions to the simultaneous equations:
Question 14
3 marks · Normal
Answer and see the solution →Use the graph of to solve the equation .
Give your solutions to one decimal place.
Question 15
3 marks · Normal
Answer and see the solution →A student is solving the equation graphically.
They draw the curve and the line and find that the graphs intersect at exactly one point.
Explain what this means about the solutions to the equation.
Question 16
2 marks · Hard
Answer and see the solution →The curve is drawn on a set of axes. Solve the equation by referring to the graph, and write down both solutions for .
Question 17
4 marks · Hard
Answer and see the solution →A student is asked to solve the equation by drawing suitable graphs.
Write down:
(a)[1 mark]Which two graphs the student must draw.
(b)[1 mark]Explain how the solutions can be found using these graphs.
(c)[2 marks]If the graphs intersect at one point only, estimate the solution for to one decimal place.
Question 18
4 marks · Hard
Answer and see the solution →Consider the simultaneous equations and .
Explain, step by step, how you would use graphs to solve these equations simultaneously, and write down the solution(s) for and .