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What is the greatest power of in a linear equation?
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What is the greatest power of in a linear equation?
The greatest power of in a linear equation is 1.
There is no term in x2 or any higher power.
What does 'isolate the variable' mean?
Isolate the variable means to get the variable term, e.g. , by itself on one side of the equation.
What are inverse operations?
Inverse operations are the opposite operations to what has already happened to the variable.
E.g. In the expression , is being multiplied by 4.
The inverse operation is to divide by 4.
Examples of inverse operations are:
Add and subtract
Multiply and divide
Square and take the square root
True or False?
To solve a linear equation, e.g. , you need to isolate the variable by carrying out inverse operations to both sides.
True.
To solve a linear equation, you need to isolate the variable, (get the letter on its own), by carrying out inverse operations to both sides.
E.g.
What is the order of inverse operations to solve a linear equation of the form to find .
To solve a linear equation of the form :
First subtract from both sides
Then divide both sides by
True or False?
If a linear equation contains the unknown variable on both sides, you should first collect the variable terms on one side.
E.g. .
True.
If a linear equation contains the unknown variable on both sides, you should first collect the variable terms on one side.
E.g.
What is the first step to solve a linear equation with brackets?
E.g. .
The first step to solve a linear equation with brackets is to expand the brackets (on both sides if necessary).
E.g.
What is the first step to solve a linear equation with fractions?
E.g. .
The first step to solve a linear equation with fractions is to remove the fractions by multiplying both sides by the denominators.
E.g.
After solving a linear equation, how can you check your answer to see if it is correct?
After solving a linear equation, you should substitute your answer back into the equation to check if it is correct.
This is a quick way to spot if you have made any mistakes.
Use algebra to represent double the amount of a quantity, given that is the initial quantity.
Double the amount of a quantity can be written as .
Use algebra to represent half the amount of a quantity, given that is the initial quantity.
Half the amount of a quantity can be written as or or .
Use algebra to represent five more than a quantity, given that is the initial quantity.
Five more than a quantity can be written as .
This is not the same as .
Use algebra to represent ten lots of a quantity, given that is the initial quantity.
Ten lots of a quantity can be written as .
This is not the same as .
True or False?
If my sister is 2 years younger than me, then is my age and is her age.
True.
If my sister is 2 years younger than me, then is my age and is her age.
It is also true to say that is my age and is her age.
Three bags contain , and marbles each.
If there are 75 marbles in total, explain how to form an equation.
Three bags contain , and marbles each.
If there are 75 marbles in total, then an equation can be formed by adding all the quantities up and setting them equal to 75.
This gives .
Examiners want to see this full equation (before simplifying or solving).