This algebra for beginners lesson introduces variables and shows how to solve one-step equations using a balance scale. Learners also practice checking their answers and writing expressions for real-life situations. The lesson ends with a quick quiz, so try pausing at each question and letting your learner answer out loud.
🏠 Try it at home
Write a puzzle like x + 7 = 12 and solve it by doing the same thing to both sides, like a balance scale.
What's in this lesson
- What a variable is
- Solving one-step equations with a balance scale
- Checking your answers
- Writing expressions for real life
- A quick quiz at the end
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About this math lesson
Algebra uses letters, called variables, to stand for numbers we do not know yet. This free grades 6–7 video uses a balance scale to show how to solve one-step equations, check the answer and write expressions for real-life situations.
Key ideas
- A variable, like x, stands for an unknown number
- An equation is balanced: both sides are equal
- Do the same thing to both sides to solve: x + 5 = 12, so x = 7
- Check by putting the answer back into the equation
Questions parents and teachers ask
What is a variable in algebra?
A variable is a letter, such as x or n, that stands for a number we do not know yet.
How do you solve a one-step equation?
Undo the operation by doing the opposite to both sides. For x + 5 = 12, subtract 5 from both sides to get x = 7.
When do kids start algebra?
Students meet variables and simple equations in 6th grade and solve multi-step equations in 7th and 8th grade.


