Introduction to Two-Step Equations
Two-step equations are algebraic equations that require two operations to isolate the variable. These equations are a fundamental concept in mathematics, and mastering them is essential for solving more complex equations. In this article, we will provide a comprehensive guide on how to solve two-step equations, along with a worksheet and answers.
What are Two-Step Equations?
Two-step equations are equations that require two operations to solve for the variable. These operations can be addition, subtraction, multiplication, or division. The equation is solved by performing the operations in the correct order, following the order of operations (PEMDAS).
How to Solve Two-Step Equations
Solving two-step equations involves isolating the variable by performing the operations in the correct order. Here are the steps to follow:
- Simplify the equation: Combine like terms and simplify the equation by performing any operations inside parentheses or brackets.
- Perform the first operation: Perform the first operation to isolate the variable. This can be addition, subtraction, multiplication, or division.
- Perform the second operation: Perform the second operation to isolate the variable completely.
📝 Note: Always follow the order of operations (PEMDAS) when solving two-step equations.
Examples of Two-Step Equations
Here are some examples of two-step equations:
- 2x + 5 = 11
- x - 3 = 7
- 4x = 20
- x/2 + 2 = 5
Worksheet
Here is a worksheet with 10 two-step equations for you to practice:
| Equation | Answer |
|---|---|
| 1. 2x + 3 = 9 | x = |
| 2. x - 2 = 6 | x = |
| 3. 3x = 18 | x = |
| 4. x/3 + 2 = 5 | x = |
| 5. 2x - 4 = 8 | x = |
| 6. x + 2 = 9 | x = |
| 7. 4x + 2 = 14 | x = |
| 8. x - 5 = 2 | x = |
| 9. 3x - 2 = 10 | x = |
| 10. x/2 - 3 = 2 | x = |
Answers
Here are the answers to the worksheet:
| Equation | Answer |
|---|---|
| 1. 2x + 3 = 9 | x = 3 |
| 2. x - 2 = 6 | x = 8 |
| 3. 3x = 18 | x = 6 |
| 4. x/3 + 2 = 5 | x = 9 |
| 5. 2x - 4 = 8 | x = 6 |
| 6. x + 2 = 9 | x = 7 |
| 7. 4x + 2 = 14 | x = 3 |
| 8. x - 5 = 2 | x = 7 |
| 9. 3x - 2 = 10 | x = 4 |
| 10. x/2 - 3 = 2 | x = 10 |
Solving two-step equations requires attention to detail and following the order of operations. With practice, you can become proficient in solving these types of equations.
In summary, two-step equations are algebraic equations that require two operations to isolate the variable. To solve these equations, simplify the equation, perform the first operation, and then perform the second operation. Always follow the order of operations (PEMDAS) when solving two-step equations.
What are two-step equations?
+Two-step equations are algebraic equations that require two operations to isolate the variable.
How do I solve two-step equations?
+To solve two-step equations, simplify the equation, perform the first operation, and then perform the second operation.
What is the order of operations?
+The order of operations is PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.
Related Terms:
- Multi Step Equations Worksheet
- Three step Equations Worksheet
- Two-step equations word problems
- Multi step Equations Worksheet PDF
