Two Step Equations Worksheet Answer Key
Two-step equations are a type of linear equation that requires two operations to solve. These equations are used to model real-world problems and are an essential concept in algebra. In this worksheet, we will provide answers and explanations for a set of two-step equations.
Equations with Addition and Subtraction
| Equation | Solution |
|---|---|
| 2x + 5 = 11 | x = 3 |
| x - 3 = 7 | x = 10 |
| 4x + 2 = 16 | x = 3.5 |
| x + 2 = 9 | x = 7 |
| 3x - 4 = 14 | x = 6 |
📝 Note: To solve these equations, add or subtract the same value to both sides of the equation to isolate the variable.
Equations with Multiplication and Division
| Equation | Solution |
|---|---|
| 2x = 12 | x = 6 |
| x/4 = 3 | x = 12 |
| 3x = 24 | x = 8 |
| x/2 = 5 | x = 10 |
| 5x = 35 | x = 7 |
📝 Note: To solve these equations, multiply or divide both sides of the equation by the same value to isolate the variable.
Equations with a Combination of Operations
| Equation | Solution |
|---|---|
| 2x + 4 = 12 | x = 4 |
| x - 2 = 5 | x = 7 |
| 3x - 1 = 11 | x = 4 |
| x + 1 = 9 | x = 8 |
| 4x - 3 = 17 | x = 5 |
📝 Note: To solve these equations, perform the operations in the correct order (e.g., addition and subtraction before multiplication and division).
What is the key to solving two-step equations?
+The key to solving two-step equations is to isolate the variable by performing the inverse operations in the correct order.
How do I know which operation to perform first?
+Perform the operations in the order in which they appear in the equation, following the order of operations (PEMDAS).
Can I check my solutions to two-step equations?
+Yes, plug the solution back into the original equation to check if it is true.
In summary, solving two-step equations requires attention to detail and a understanding of the order of operations. By following the steps outlined in this worksheet, you can become proficient in solving two-step equations and build a strong foundation in algebra.
Related Terms:
- Multi Step Equations Worksheet
- Two Step Equations Worksheet Kuta
- Multi step Equations Worksheet PDF
- Three step Equations Worksheet
- Two-step equations examples
