Graphically solving two linear graphs that intersect

Quiz by Oak National Academy: KS3 Maths (2)

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6 questions

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Q1
The point where the lines $y=2x+4$ and $y=2-x$ meet is called the ______.
variable
intersection
solution
answer
30s
Q2
Izzy plots the graphs of $y=2x+1$ and $y=3x-2$ on the same coordinate grid. How many points will lie on both lines?
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30s
Q3
The linear equations $y = 2x + 5$ and $y = 2 − x$ intersect at the point with coordinates (−1, 3). What is the solution to the equation $2x+5=2-x$ ?
$x=-1$
$x=3$
$y=3$
$y=-1$
30s
Q4
Use the graph to solve the simultaneous equations $y=2x-1$ and $y=3x-2$ .
$x=2$ , $y=3$
$x=1$ , $y=1$
$x=3$ , $y=2$
$x=7$ , $y=-2$
$x=-2$ , $y=7$
30s
Q5
The diagram shows 6 points and the the lines $y=2x-1$ and $y=5-x$ . Which points satisfy the inequality $y>2x-1$ ?
D, E and F
C and D
A and D
A and C
A, B and C
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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