New
New
Year 9
Checking and securing solving linear equations
I can solve equations involving brackets.
New
New
Year 9
Checking and securing solving linear equations
I can solve equations involving brackets.
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Lesson details
Key learning points
- Equations containing a bracket multiplied by a term can be solve in two ways.
- If the term is a constant, it may be best to divide first.
- If the term is not a constant, it may be best to multiply first.
- If the term is a factor of every other term then division is likely to be simplest.
Keywords
Additive inverse - The additive inverse of a number is a number that, when added to the original number, gives the sum of 0.
Reciprocal - The reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1
Common misconception
If equations contain brackets you always need to expand them before solving.
Try to encourage pupils to use their factors and multiples knowledge to decide if it is more efficient to expand first or not.
Encourage pupils to set out their working out in a clear way so that they can effectively compare efficiency of methods. Remind pupils they can substitute their solution back into the original equation to check if it is correct.
Teacher tip
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Starter quiz
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6 Questions
Q1.
additive inverse
multiplier
opposite
product
Q2.
Expand .
Q3.
The solution to is when .
Q4.
The solution to is when .
Q5.
Which of these equations are equivalent to the equation ?
Q6.
Which of these equations are equivalent to the equation ?
Exit quiz
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6 Questions
Q1.
The solution to the equation is when .
Q2.
Which of these equations are equivalent to ?
Q3.
The solution to the equation is when .
Q4.
Select the equations that are equivalent to .
Q5.
The solution to is when .
Q6.
The solution to is when .