Year 9

Representing simultaneous equations graphically (Part 1)

Year 9

Representing simultaneous equations graphically (Part 1)

Lesson details

Key learning points

  1. In this lesson, we will learn how to solve simultaneous equations graphically by plotting them and identifying their point of intersection.

Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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5 Questions

Q1.
What are the equations of the lines in the graph?
An image in a quiz
y = -4x + 2 and y = x - 1
Correct answer: y = 4x - 2 and y = -x - 1
y = 4x - 2 and y = -x + 1
y = 4x + 2 and y = x - 1
Q2.
Estimate the point of intersection for the lines in the graph.
(-0.2, - 1.2)
(-0.2, 1.2)
Correct answer: (0.2, -1.2)
(0.2, 1.2)
Q3.
How would you change y = 4x - 2 in order to increase the x-ordinate of the point of intersection?
Decrease the gradient or increase the y-intercept.
Correct answer: Decrease the gradient or the y-intercept.
Increase the gradient or decrease the y-intercept.
Increase the gradient or the y-intercept.
Q4.
How would you change y = 4x - 2 in order to increase the y-ordinate of the point of intersection?
Decrease the gradient or increase the y-intercept.
Decrease the gradient or the y-intercept.
Increase the gradient or decrease the y-intercept.
Correct answer: Increase the gradient or the y-intercept.
Q5.
How would you change y = -x - 1 in order to decrease the x-ordinate of the point of intersection?
Decrease the gradient or increase the y-intercept.
Correct answer: Decrease the gradient or the y-intercept.
Increase the gradient or decrease the y-intercept.
Increase the gradient or the y-intercept.

5 Questions

Q1.
Fill in the gaps: We can use ____ to solve simultaneous equations.
Correct answer: Graphs
Knowledge
Numbers
Terms
Q2.
What are the coordinates of the points of intersection for y = x + 5 and y = -2x - 1?
(-2, -3)
Correct answer: (-2, 3)
(2, -3)
(2, 3)
Q3.
Use a graph to solve y = x + 5 and y = -2x - 1 simultaneously.
x = -2, y = -3
Correct answer: x = -2, y = 3
x = 2, y = -3
x = 2, y = 3
Q4.
Create equations for the following statements: "I'm thinking of 2 numbers that have a sum of 3", "I'm thinking of 2 numbers. I triple the first number and add the second to get -1".
x + y = 3, 2x + y = -1
Correct answer: x + y = 3, 3x + y = -1
y = -x + 3, y = 3x - 1
y = x + 3, y = 3x - 1
Q5.
Find the values of x and y that are true for both of the following statements: "I'm thinking of 2 numbers that have a sum of 3", "I'm thinking of 2 numbers. I triple the first number and add the second to get -1".
x = -2, y = -5
Correct answer: x = -2, y = 5
x = 2, y = -5
x = 2, y = 5