Free worksheets: Solving two-step equations with fractions and decimals

📚 Topic Summary

Solving two-step equations involving fractions and decimals combines the principles of solving regular two-step equations with the added challenge of manipulating fractions and decimals. The goal is to isolate the variable by performing inverse operations in the correct order, first dealing with addition or subtraction, and then multiplication or division. Remember to apply the same operation to both sides of the equation to maintain balance. Precision in arithmetic is crucial when working with these types of equations.

🧮 Part A: Vocabulary

Match the term with its correct definition. Write the number of the definition next to the term.

1. A symbol representing an unknown value.
2. A mathematical statement that two expressions are equal.
3. A number that multiplies a variable.
4. A value that does not change.
5. An operation that undoes another operation.

✍️ Part B: Fill in the Blanks

Complete the following paragraph with the correct words.

To solve a two-step equation, we first isolate the term with the __________ by using the inverse operation of addition or __________. Then, we isolate the __________ itself by using the inverse operation of multiplication or __________. Always remember to perform the same operation on __________ sides of the equation to maintain balance.

🤔 Part C: Critical Thinking

Explain in your own words why it is important to perform the same operation on both sides of an equation when solving for a variable.