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Maths I
Simple equations and inequalities
Problems are often answered in mathematics by solving equations.
To solve them, we need to find what number the letter in the equation represents. That number is called the solution of the equation.
There are usually several ways to solve an equation. If the method you choose to use always gives you the correct answer, then keep using this method!
To get some practise at solving equations, try to follow the worked examples below.
Solve .
This is the simplest type of equation to solve.
What number added to equals ?
The answer is (because ).
Therefore, is the solution.
Solve .
This is very similar to Example 1.
What number minus equals ?
The answer is (because ).
Therefore, is the solution.
Solve .
This is a different type of equation from the first two.
times a number represented by is equal to .
To find , divide both sides by .
So, is the solution.
Solve .
This equation is like Example 1 and Example 3 combined.
What number added to equals ?
The answer is (because ).
Therefore, , i.e.
times equals .
To find , divide both sides by :
.
The solution is .
Solve .
Add to each side:
.
Re-order the equation:
,
.
Subtract from each side:
.
To find x, divide both sides by 2.
Therefore, is the solution.
Solve
(because )
Solve
(because )
Solve
Solve
(because )
Solve
(because , )
Well done if you got the right answers! If you didn't, check through the answers again.
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