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Beginner 𝑥 Algebra Topic 7 of 100

One-Step Equations

Undo one operation to isolate the variable.

Key idea

Undo one operation to isolate the variable.

In depth

An equation says two sides are equal. To solve it, do the same inverse operation to both sides so the equality stays balanced, isolating the variable.

Worked example

x + 7 = 12: subtract 7 from both sides to get x = 5. And x/3 = 4 gives x = 12.

Formula

x + 5 = 9 ⇒ x = 4

Real-world uses

Common mistake

Changing only one side of the equation.

How to learn this

  1. Read the key idea and say it in your own words.
  2. Work through the worked example, then try a similar problem.
  3. Use the interactive lesson’s visual and mini-quiz to check the pattern.

Frequently asked questions

What is One-Step Equations?

Undo one operation to isolate the variable. It is a topic at the beginner level in Algebra.

What is the formula for One-Step Equations?

The key formula is x + 5 = 9 ⇒ x = 4.

Where is One-Step Equations used in real life?

Real-world examples: Working out how many items a total covers, or the speed needed to finish a trip on time.

What should I learn before One-Step Equations?

Make sure you are comfortable with Writing Expressions from Words, the previous topic in Algebra.

What is a common mistake with One-Step Equations?

Changing only one side of the equation.

How can I practise One-Step Equations?

Open the interactive lesson, play with the visual, then answer the three-question mini-quiz. Getting two right marks the topic complete.

What comes after One-Step Equations?

Move on to Two-Step Equations next.

Related beginner topics in Algebra