6th Grade Math

Using Variables to Write and Solve Equations

Learn Using Variables to Write and Solve Equations in 6th Grade Math from the production AIPH study guide.

Advanced Topics

In a nutshell: Equations with variables help you solve unknowns in many situations.

## 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 \(4x = 16\).