Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Graphs 7
18 practice questions
Practice questions
1–10 of 18
Question 1
1 mark · Easy
Answer and see the solution →Write down the number of intersection points of the graphs of the equations y = x^2 and y = x + 2.
Question 2
2 marks · Easy
Answer and see the solution →The graph of y = x^2 is drawn for −3 ≤ x ≤ 3. Use the graph to solve x^2 = 4. Write down all solutions.
Question 3
2 marks · Easy
Answer and see the solution →Explain how you would use a graph to solve the equation x^2 + 2 = 2x.
Question 4
3 marks · Easy
Answer and see the solution →The equations y = x^2 - 3 and y = 2x + 1 are drawn on the same set of axes.
(a)[1 mark]Write down the equation formed by setting the two expressions for y equal to each other.
(b)[1 mark]How many solutions are there to the simultaneous equations y = x^2 - 3 and y = 2x + 1?
(c)[1 mark]Explain what the points of intersection of these two graphs represent.
Question 5
3 marks · Easy
Answer and see the solution →Complete the table of values for the equation y = x^2 - x - 2.
Table of values for y = x^2 - x - 2 x y -2 -1 0 1 2 Question 6
2 marks · Easy
Answer and see the solution →The equations y = x^2 - 4 and y = 0 are drawn on the same axes. Solve these equations graphically and write down the solutions for x.
Question 7
1 mark · Easy
Answer and see the solution →Write down the solution to the equation as it would be found by looking for where the line meets on a graph.
Question 8
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 9
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 10
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.