6th Grade Math

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

Understanding RatiosExploring ProportionsIntroduction to Algebraic Thinking
Solving Ratio Word ProblemsWorking with Proportional RelationshipsSolving One-Step Algebraic Equations
Using Ratios in Cooking and RecipesApplying Proportions to Shopping and DiscountsAlgebra in Everyday Problem Solving
Breaking Down Word ProblemsChecking Your Work with Estimation
Understanding RatiosExploring Proportion...Introduction to Alge...Solving Ratio Word P...Working with Proport...Solving One-Step Alg...Using Ratios in Cook...Applying Proportions...Algebra in Everyday ...Breaking Down Word P...Checking Your Work w...
Advanced Topics

Solving One-Step Algebraic Equations

Solving Equations in One Step

One-step equations are the simplest kind of algebra problem. You only need to do one thing—like add, subtract, multiply, or divide—to find the answer.

How to Solve

  • If the equation is \( x + 5 = 9 \), subtract 5 from both sides: \( x = 4 \).
  • If the equation is \( 3x = 12 \), divide both sides by 3: \( x = 4 \).

Why It Matters

Solving equations is a superpower! You can figure out unknowns in all sorts of problems.

Quick Check

Always plug your answer back into the original equation to make sure it works.

Examples

  • If x + 7 = 12, subtract 7 from both sides to get x = 5.

  • If 4x = 20, divide both sides by 4 to get x = 5.

In a Nutshell

One-step equations can be solved by doing the opposite operation to both sides.

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Using Ratios in Cooking and Recipes