Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 8
106 practice questions
Topics covered
Practice questions
41–50 of 106
Question 41
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 42
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 43
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 44
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 45
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 46
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 47
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 48
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 49
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 50
3 marks · Normal
Answer and see the solution →Use the graph of to solve the equation .
Give your solutions to one decimal place.