Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Graphs 7
18 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
2 marks · Normal
Answer and see the solution →The graph below shows the curve for .
Graph of \( y = x^2 \) for \( x \) from \( -3 \) to \( 3 \). Question 2
3 marks · Normal
Answer and see the solution →Use a graph to solve the equation for between -3 and 3.
State what two graphs you would draw and explain how their intersection gives the solution.
Question 3
3 marks · Normal
Answer and see the solution →Two graphs are drawn: and .
Explain how you would use these graphs to solve the equations:
a)
b)
Show clear reasoning.
Question 4
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 5
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 6
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 7
3 marks · Normal
Answer and see the solution →Use the graph of to solve the equation .
Give your solutions to one decimal place.
Question 8
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.