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GCSE: Algebra & Solving Linear Equations
Dr J Frost ([email protected])
Last modified: 24th August 2013
Algebra Common MishapsEither answer the following or identify the mistake made.
(𝑎+𝑏 )2=𝑎2+2𝑎𝑏+𝑏2
𝑎−𝑏 (𝑐−𝑑 )=𝑎−𝑏𝑐+𝑏𝑑
3𝑎+4𝑏+4
→3 𝑎𝑏
𝑎+3=2𝑛−34
→ 4𝑎+3=2𝑛−3
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(𝑎−𝑏)2=𝑎2−2𝑎𝑏+𝑏2?
Algebraic Simplification Revision
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1
2
3456
7
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10
1213
141516
17
1819
20
3 𝑥 (2 𝑥+5 )=6𝑥2+15 𝑥11 ?
Solving Linear Equations
𝟐𝒂+𝟑 (𝟐−𝟑𝒂 )=𝟑−𝒂
𝒂=𝟏𝟐?
a) b) c) d) e) f) g)
h) i) j) k)
l)
m) n)
o)
x = 2y = -2t=-1y = 5x = -2x = 1
y = -2z = 0x = 7y= -10
x = -2
x=-1
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Solving Linear Equations
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Setting up equationsPeople in the left row work on this:
People in the middle row work on this:
People in in the right row work on this:
Your mum’s age in 6 years time is 3 times as much as it was 6 years ago. How old is your mum?
𝑥
235−3𝑥𝑥−10
The area of the shape is twice its perimeter. Determine
𝟐 𝒙
𝒙
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GCSE Questions
𝑥=39 °?
June 2012
GCSE Questions
𝐴=42m2?
GCSE Questions
𝑥=32?
June 2013
A* Question
𝐴𝑟𝑒𝑎=𝟏𝟏𝒙𝟐?
Exercises
Edexcel GCSE Mathematics Textbook
Page 146 – Exercise 10BQ2, 3, 9, 11-14
Solving Equations involving Fractions
Töten die Fraktionen!!
The first thing you always do whenever you see an equation involving fractions:
Multiply through by the denominator(s), so no fractions!
Solving Equations involving Fractions
16−𝑥4
=1−𝑥 𝑥=−4?
2𝑥−12
−𝑥−53
=54 𝑥=
18?
Solving Equations involving Fractions
𝑥2=𝑥−3 𝑥=6?
3𝑥−42
+2𝑥+15
=8−𝑥3𝑥=2?
Exercises
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3
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5
6
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