Linear Equations
Overview
Solve more complex linear equations. You'll work through multi-step equations, handle variables on both sides, and recognize when an equation has one solution, no solution, or infinitely many solutions.
Your progress
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About this unit
How to work through it
- Do the same operation to both sides of an equation every time.
- Combine like terms on one side before isolating the variable.
- Check solutions by substituting back into the original equation.
- Multi-step word problems: define the variable in a sentence first.
- Practice until equation solving feels routine.
You should be able to
- Solve multi-step linear equations including variables on both sides.
- Solve equations with special cases (one solution, none, infinitely many).
- Translate multi-step word problems into equations.
- Verify solutions and interpret in context.
Key words
- Linear equation
- An equation whose variable is only to the first power.
- Inverse operation
- An operation that undoes another, like subtraction undoing addition.
- No solution
- An equation that is never true, like 3 = 5 after simplifying.
- Infinitely many solutions
- An equation true for every value, like 4 = 4 after simplifying.
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