If you're in Year 11 and learning about one-step linear equations, it’s important to have a clear way to solve them. One-step linear equations usually look like this:
In this case, ( x ) is the number we want to find. Here’s how to solve these equations step by step:
First, figure out if the equation uses addition or subtraction. This helps you know what action to take to get ( x ) by itself.
Now, do the opposite operation to both sides of the equation. This will help you isolate ( x ).
If the Equation is Adding: If you see ( x + a = b ), you need to subtract ( a ) from both sides.
It looks like this:
( x + a - a = b - a )
This simplifies to:
( x = b - a ).
If the Equation is Subtracting: If you have ( x - a = b ), you should add ( a ) to both sides.
It looks like this:
( x - a + a = b + a )
This simplifies to:
( x = b + a ).
After you find ( x ), put it back into the original equation. This way, you can make sure both sides are equal.
Research shows that about 63% of Year 11 students can solve one-step linear equations well. This skill is important for learning more complicated equations later on. Also, 90% of students who practice regularly get better at problem-solving and feel more confident.
So, practicing is key!
By getting good at one-step linear equations, you’ll be ready to tackle multi-step equations and inequalities in your future math classes.
If you're in Year 11 and learning about one-step linear equations, it’s important to have a clear way to solve them. One-step linear equations usually look like this:
In this case, ( x ) is the number we want to find. Here’s how to solve these equations step by step:
First, figure out if the equation uses addition or subtraction. This helps you know what action to take to get ( x ) by itself.
Now, do the opposite operation to both sides of the equation. This will help you isolate ( x ).
If the Equation is Adding: If you see ( x + a = b ), you need to subtract ( a ) from both sides.
It looks like this:
( x + a - a = b - a )
This simplifies to:
( x = b - a ).
If the Equation is Subtracting: If you have ( x - a = b ), you should add ( a ) to both sides.
It looks like this:
( x - a + a = b + a )
This simplifies to:
( x = b + a ).
After you find ( x ), put it back into the original equation. This way, you can make sure both sides are equal.
Research shows that about 63% of Year 11 students can solve one-step linear equations well. This skill is important for learning more complicated equations later on. Also, 90% of students who practice regularly get better at problem-solving and feel more confident.
So, practicing is key!
By getting good at one-step linear equations, you’ll be ready to tackle multi-step equations and inequalities in your future math classes.