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Common Algebra and Graph Errors

This document provides feedback on common errors made on algebra and other math problems. It lists 50 different errors across various math topics like algebra, equations, graphing, lines, and circles. Students are advised to practice skills like factorizing, completing the square, using indices/surds/fractions correctly, showing working, checking solutions, using the right equations, drawing diagrams, and labeling graphs.

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53 views2 pages

Common Algebra and Graph Errors

This document provides feedback on common errors made on algebra and other math problems. It lists 50 different errors across various math topics like algebra, equations, graphing, lines, and circles. Students are advised to practice skills like factorizing, completing the square, using indices/surds/fractions correctly, showing working, checking solutions, using the right equations, drawing diagrams, and labeling graphs.

Uploaded by

api-218296145
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Problem Sheet 1 Feedback Sheet

1. someone stole all your equals signs?!


2. one = per line please
3. where has the = 0 gone?
4. why have you made up that it equals 0?
5. use fractions please, not decimals or mixed numbers
6. dont use slanty fractions please
7. it was an equation but you havent solved it?
8. it was an expression but you seem to have solved it?
9. give your answer in its simplest form
10.oooops (minus signs, numbers)
11.show your method
12.you need to practice working with indices/surds/fractions
13.you need to practice factorising/completing the square
14.DOTS!
15.PLUS MINUS when you square/4th root

Common Algebra Errors

a a
16. isnt
b b
17. a b isnt a b
18. 3 36 7 isnt 9 7
19. a b2 isnt a 2 b
2

20. 2x 2 isnt 2x 2
21. 7 2 isnt 49
4 6
22. isnt 2 3 and also isnt 8 2 6
2
4 2x 3 4 2x 3
23. doesnt mean
7 7 7
1
24. isnt 4 x 1
4x

Checks you should have done

25.check your solutions by subbing back into the equation


26.check factorising by expanding back out
27.check completing the square by putting in a value of x into the original and into your
completed square to see if they come out the same
suvat

28.which way is positive?


29.s,u,v and a are vectors, show that you considered their sign
30.which equation are you using?
31.sub in then rearrange not the other way round
32.units

vt

33.label your axes


34.explain where the equation youre using came from
35.units

Lines/Circles

36.this is a geometry problem so you need to draw it


37.please use mx a y b not y mx c
38. x 1 y 2 notice m is a fraction, so multiply both sides by 3 first, then expand
2
3
39. ax by c is not an equation, you need = 0 at the end
40.in ax by c 0 , a, b and c must be integers
41.it asked for the form y mx c / ax by c not ax by c 0
dx dy
42.youve done the gradient should be
dy dx

Graph Sketching

43.where are the asymptotes?


44.where are the equations of the asymptotes?
45.the horizontal asymptote is y = .. not x = .., the vertical asymptote is x = .. not y = ..
46.your aeroplane has landed/taken off again/started doing a fly by
47.you didnt label the x and y intercepts
48.this is a positive . (for example, cubic), it was meant to be a negative (eg cubic)
49.your quadratic/cubic/quartic/exponential shouldnt go vertical
50.it asked you to state the vertex (turning point)/equation of the line of symmetry of the
quadratic?

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