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Coordinate Geometry (Advanced)

Build confidence with coordinate geometry (advanced) through short revision prompts and exam-style checks.

Focus points
Review the core ideas in coordinate geometry (advanced).
Solve routine questions with clear working and good notation.
Apply the topic in short exam-style questions.
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Question lineup

Mark each one done as you go — finish them all to claim your chips.

100 revision prompts
Question 1OpenStax College Algebra (paraphrased practice)
Solve carefully: Find the equation of the line perpendicular to y = 2x - 3 passing through (4, 1).
Question 2OpenStax College Algebra (paraphrased practice)
Show full working for: Find the distance between (-2, 5) and (4, -3).
Question 3OpenStax College Algebra (paraphrased practice)
Answer this exam-style prompt: Find the equation of the line perpendicular to y = 2x - 3 passing through (4, 1).
Question 4OpenStax College Algebra (paraphrased practice)
Write down the key method, then solve: Find the distance between (-2, 5) and (4, -3).
Question 5OpenStax College Algebra (paraphrased practice)
Work this out and simplify your final answer: Find the equation of the line perpendicular to y = 2x - 3 passing through (4, 1).
Question 6OpenStax College Algebra (paraphrased practice)
Set out your steps clearly for: Find the distance between (-2, 5) and (4, -3).
Question 7OpenStax College Algebra (paraphrased practice)
Find the answer and state your method for: Find the equation of the line perpendicular to y = 2x - 3 passing through (4, 1).
Question 8OpenStax College Algebra (paraphrased practice)
Complete this revision check: Find the distance between (-2, 5) and (4, -3).
Question 9OpenStax College Algebra (paraphrased practice)
Solve and check your result for: Find the equation of the line perpendicular to y = 2x - 3 passing through (4, 1).
Question 10OpenStax College Algebra (paraphrased practice)
Use accurate notation to answer: Find the distance between (-2, 5) and (4, -3).
Question 11OpenStax College Algebra (paraphrased practice)
Solve carefully: Find the equation of the line perpendicular to y = 2x - 3 passing through (4, 1).
Question 12OpenStax College Algebra (paraphrased practice)
Show full working for: Find the distance between (-2, 5) and (4, -3).
Question 13OpenStax College Algebra (paraphrased practice)
Answer this exam-style prompt: Find the equation of the line perpendicular to y = 2x - 3 passing through (4, 1).
Question 14OpenStax College Algebra (paraphrased practice)
Write down the key method, then solve: Find the distance between (-2, 5) and (4, -3).
Question 15OpenStax College Algebra (paraphrased practice)
Work this out and simplify your final answer: Find the equation of the line perpendicular to y = 2x - 3 passing through (4, 1).
Question 16OpenStax College Algebra (paraphrased practice)
Set out your steps clearly for: Find the distance between (-2, 5) and (4, -3).
Question 17OpenStax College Algebra (paraphrased practice)
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 18OpenStax College Algebra (paraphrased practice)
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 19OpenStax College Algebra (paraphrased practice)
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 20OpenStax College Algebra (paraphrased practice)
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.
Question 21OpenStax College Algebra (paraphrased practice)
Create a similar coordinate geometry (advanced) question of your own and solve it fully.
Question 22OpenStax College Algebra (paraphrased practice)
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 23OpenStax College Algebra (paraphrased practice)
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 24OpenStax College Algebra (paraphrased practice)
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 25OpenStax College Algebra (paraphrased practice)
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.
Question 26OpenStax College Algebra (paraphrased practice)
Create a similar coordinate geometry (advanced) question of your own and solve it fully.
Question 27OpenStax College Algebra (paraphrased practice)
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 28OpenStax College Algebra (paraphrased practice)
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 29OpenStax College Algebra (paraphrased practice)
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 30OpenStax College Algebra (paraphrased practice)
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.
Question 31OpenStax College Algebra (paraphrased practice)
Create a similar coordinate geometry (advanced) question of your own and solve it fully.
Question 32OpenStax College Algebra (paraphrased practice)
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 33OpenStax College Algebra (paraphrased practice)
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 34OpenStax College Algebra (paraphrased practice)
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 35OpenStax College Algebra (paraphrased practice)
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.
Question 36OpenStax College Algebra (paraphrased practice)
Create a similar coordinate geometry (advanced) question of your own and solve it fully.
Question 37OpenStax College Algebra (paraphrased practice)
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 38OpenStax College Algebra (paraphrased practice)
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 39OpenStax College Algebra (paraphrased practice)
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 40OpenStax College Algebra (paraphrased practice)
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.
Question 41OpenStax College Algebra (paraphrased practice)
Create a similar coordinate geometry (advanced) question of your own and solve it fully.
Question 42OpenStax College Algebra (paraphrased practice)
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 43OpenStax College Algebra (paraphrased practice)
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 44OpenStax College Algebra (paraphrased practice)
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 45OpenStax College Algebra (paraphrased practice)
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.
Question 46OpenStax College Algebra (paraphrased practice)
Create a similar coordinate geometry (advanced) question of your own and solve it fully.
Question 47OpenStax College Algebra (paraphrased practice)
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 48OpenStax College Algebra (paraphrased practice)
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 49OpenStax College Algebra (paraphrased practice)
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 50OpenStax College Algebra (paraphrased practice)
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.
Question 51OpenStax College Algebra (paraphrased practice)
Create a similar coordinate geometry (advanced) question of your own and solve it fully.
Question 52OpenStax College Algebra (paraphrased practice)
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 53OpenStax College Algebra (paraphrased practice)
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 54OpenStax College Algebra (paraphrased practice)
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 55OpenStax College Algebra (paraphrased practice)
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.
Question 56OpenStax College Algebra (paraphrased practice)
Create a similar coordinate geometry (advanced) question of your own and solve it fully.
Question 57OpenStax College Algebra (paraphrased practice)
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 58OpenStax College Algebra (paraphrased practice)
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 59OpenStax College Algebra (paraphrased practice)
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 60OpenStax College Algebra (paraphrased practice)
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.
Question 61OpenStax College Algebra (paraphrased practice)
Create a similar coordinate geometry (advanced) question of your own and solve it fully.
Question 62OpenStax College Algebra (paraphrased practice)
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 63OpenStax College Algebra (paraphrased practice)
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 64OpenStax College Algebra (paraphrased practice)
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 65OpenStax College Algebra (paraphrased practice)
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.
Question 66OpenStax College Algebra (paraphrased practice)
Create a similar coordinate geometry (advanced) question of your own and solve it fully.
Question 67OpenStax College Algebra (paraphrased practice)
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 68OpenStax College Algebra (paraphrased practice)
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 69OpenStax College Algebra (paraphrased practice)
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 70OpenStax College Algebra (paraphrased practice)
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.
Question 71OpenStax College Algebra (paraphrased practice)
Create a similar coordinate geometry (advanced) question of your own and solve it fully.
Question 72OpenStax College Algebra (paraphrased practice)
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 73OpenStax College Algebra (paraphrased practice)
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 74OpenStax College Algebra (paraphrased practice)
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 75OpenStax College Algebra (paraphrased practice)
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.
Question 76OpenStax College Algebra (paraphrased practice)
Create a similar coordinate geometry (advanced) question of your own and solve it fully.
Question 77OpenStax College Algebra (paraphrased practice)
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 78OpenStax College Algebra (paraphrased practice)
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 79OpenStax College Algebra (paraphrased practice)
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 80OpenStax College Algebra (paraphrased practice)
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.
Question 81OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Create a similar coordinate geometry (advanced) question of your own and solve it fully.
Question 82OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 83OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 84OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 85OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.
Question 86OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Create a similar coordinate geometry (advanced) question of your own and solve it fully.
Question 87OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 88OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 89OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 90OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.
Question 91OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Create a similar coordinate geometry (advanced) question of your own and solve it fully.
Question 92OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 93OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 94OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 95OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.
Question 96OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Create a similar coordinate geometry (advanced) question of your own and solve it fully.
Question 97OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Explain which rule or property is most important in coordinate geometry (advanced) and illustrate it with a worked example.
Question 98OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Write one easier and one harder coordinate geometry (advanced) question, then solve both.
Question 99OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Describe a common mistake students make in coordinate geometry (advanced) and correct it with an example.
Question 100OpenStax College Algebra (paraphrased practice) / Free Online Revision extended practice
Turn one of today’s coordinate geometry (advanced) questions into a short word problem and solve it.