When we solve algebraic equations, our aim is to end up with one letter on one side of the equals sign and one number on the other. This is the solution.
We do this by using inverse operations to undo things that get in the way, but remember that we must do the same thing to both sides.
Example
Solve 4(2b + 1) = 3(8 + b)
Answer
Multiply out the brackets:
8b + 4 = 24 + 3b
Subtract 4 from both sides:
8b + 4 - 4 = 24 + 3b - 4
Simplify:
8b = 20 + 3b
Subtract 3b from both sides:
8b - 3b = 20 + 3b - 3b
Simplify:
5b = 20
Divide both sides by 5:
5b ÷ 5 = 20 ÷ 5
Simplify:
b = 4
Want a bit more help with this before you begin? Why not watch this short video?
When we solve algebraic equations, our aim is to end up with one letter on one side of the equals sign and one number on the other. This is the solution.
We do this by using inverse operations to undo things that get in the way, but remember that we must do the same thing to both sides.
Example
Solve 4(2b + 1) = 3(8 + b)
Answer
Multiply out the brackets:
8b + 4 = 24 + 3b
Subtract 4 from both sides:
8b + 4 - 4 = 24 + 3b - 4
Simplify:
8b = 20 + 3b
Subtract 3b from both sides:
8b - 3b = 20 + 3b - 3b
Simplify:
5b = 20
Divide both sides by 5:
5b ÷ 5 = 20 ÷ 5
Simplify:
b = 4
Want a bit more help with this before you begin? Why not watch this short video?
Question
/ 10
Preview only, get started for free to complete this activity
Your tutor needs to mark this activity before you continue
Teacher explanation