Solving Linear Equations

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Solving Linear Equations

• Which level would you like to study?
• Level 5
• Level 6
• Level 7
• Worksheet

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Level 5

• Objective Be able to solve linear equations with
  an unknown on one side.

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Low level 5

• 4a 24

This means 4 multiplied by a
What is the inverse operation?
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Division
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Low Level 5

• b 3
• 5

This means b divided by 5
b 3 x 5
What is the inverse operation?
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Multiplication
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High Level 5

• 3a 8 35

Lets make this question into a low level 5
question. We know how to solve those!
3a 35 - 8
This is the only bit that is different. We can
use inverse operations to get rid of it.
This says add 8
3a 27
What is the inverse operation?
Subtract
Look! A low level 5 question!
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Level 6

• Objective Be able to solve linear equations with
  an unknown both sides.

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Low level 6

• 5a 3 2a 12

5a 2a 12 - 3
5a 2a 9
Doing this removes the add 3, but remember to
subtract 3 from the other side too!
5a 2a 9
This says add 3
Now, lets remove this.
3a 9
To get rid of our 2a, we have to subtract 2a
What is the inverse operation?
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Subtract 3
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High Level 6
Expanding Brackets Tutorial

• 5(a - 4) 3(a 2)

5a - 20 3a 6
5a 3a 6 20
First expand the brackets (Click the tutorial
button above if you cannot remember how to do
this)
Now we have a low level 6 question which can be
solved just as before.
5a 3a 26
5a 3a 26
2a 26
a 13
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Level 7

• Objective Be able to solve linear equations with
  an unknown on one side, including problems where
  the coefficients are fractional

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Level 7
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