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Algebra Basics! (Grades 6–7)

Grades 6–7Math

Grades 6–7 Math

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.

Keep learning

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