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NRICH: Graph Area

Can you find the area between this graph and the x-axis, between x=3 and x=7?

What is the area between the lines y=2x−6, x=3, x=7 and the x-axis?

This problem is adapted from the World Mathematics Championships

You can find more short problems, arranged by curriculum topic, in our short problems collection.

Age 11 to 14

STEAM Topics Resource Audience Grade Level Tags
Math Topics
Algebra & Pre-Algebra, Functions & Graphs
Middle School, High School
6th Grade, 7th Grade, 8th Grade, 9th Grade
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NRICH (University of Cambridge)

NRICH provides thousands of free online mathematics resources for ages 3 to 18, covering all stages of early years, primary and secondary school education – completely free and available to all.

https://nrich.maths.org/
NRICH: Topics in Secondary Mathematics
NRICH (University of Cambridge)

Do you enjoy thought-provoking questions? If so, this is the place for you.

https://nrich.maths.org/9196

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