Problem solving with graphical representations

Quiz by Oak National Academy: KS3 Maths (2)

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6 questions

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Q1
The diagram shows the lines $y=2x-1$ and $y=5-x$ . The point A will help you find the solution to the __________ equations $y=2x-1$ and $y=5-x$ .
non-linear
simultanous
quadratic
intersecting
30s
Q2
Sam plots the graphs of $y=3x+1$ and $y=3x-4$ on the same coordinate grid. How many points will lie on both lines?
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30s
Q3
The linear equations $y = 2x -9$ and $y = 3 − x$ intersect at the point with coordinates (4, -1). What is the solution to the equation $2x-9=3-x$ ?
$y=4$
$x=4$
$y=-1$
$x=-1$
30s
Q4
Use the graph to solve the simultaneous equations $y=2x-1$ and $y=5-x$ .
$x=1$ , $y=1$
$x=2$ , $y=3$
$x=-2$ , $y=7$
$x=3$ , $y=2$
$x=7$ , $y=-2$
30s
Q5
The diagram shows 6 points and the the lines $y=2x-1$ and $y=5-x$ . Which points satisfy the inequality $y<5-x$ ?
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Sorting
30s
Q6
The diagram shows 6 points and the the lines $y=2x-1$ and $y=5-x$ . The point that is the region $y>5-x$ and $y>2x-1$ is ______.
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30s

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