6th Grade Math

Ratios, proportions, and algebraic thinking for sixth grade students.

Understanding RatiosIntroduction to ProportionsAlgebraic Thinking: Expressions and Variables
Solving Ratio and Proportion ProblemsUsing Variables to Write and Solve EquationsRecognizing Patterns and Relationships
Using Ratios in Cooking and RecipesProportions in Maps and ModelsAlgebra in Everyday Decisions
Breaking Down Word ProblemsChecking Your Answers
Understanding RatiosIntroduction to Prop...Algebraic Thinking: ...Solving Ratio and Pr...Using Variables to W...Recognizing Patterns...Using Ratios in Cook...Proportions in Maps ...Algebra in Everyday ...Breaking Down Word P...Checking Your Answer...
Advanced Topics

Using Variables to Write and Solve Equations

Creating Equations

You can write equations to solve word problems using variables. An equation has an equals sign and shows that two things are the same.

Solving Equations

  • Find what the variable stands for.
  • Do the same thing to both sides to keep the balance.
  • Check your answer by plugging it back in.

Real-World Examples

If you know your total spending is $30 and each movie ticket costs $6, you can write \(6x = 30\) to find out how many tickets you bought.

Examples

  • If \(x + 5 = 12\), then \(x = 7\).

  • If 4 notebooks cost $16, then each notebook costs $x, so \(4x = 16\).

In a Nutshell

Equations with variables help you solve unknowns in many situations.

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Recognizing Patterns and Relationships