5.4.6 - Quick Check: Solving One-Step Equations by Adding or Subtracting
To solve one-step equations by adding or subtracting, follow these steps:
1. Identify the equation: Identify the given equation that you need to solve.
2. Isolate the variable: Get the variable alone on one side of the equation by adding or subtracting the necessary number or variable from both sides.
3. Simplify: Perform any necessary simplifications or calculations to further isolate the variable.
4. Check your answer: Substitute your solution back into the original equation and ensure that it satisfies the equation.
5. Write your final answer: Write your solution as the final answer.
Using these steps, you can solve one-step equations by adding or subtracting.
To solve a one-step equation by adding or subtracting, follow these steps:
1. Identify the variable: Look for the unknown number or letter, which is usually denoted as x.
2. Determine the operation: Determine if the equation requires adding or subtracting to isolate the variable.
3. Add or subtract: Perform the inverse operation on both sides of the equation to isolate the variable. If you are given an equation with addition, subtract the same number from both sides. If you are given an equation with subtraction, add the same number to both sides.
4. Simplify: Simplify both sides of the equation to find the solution.
Let's work through an example:
Example: Solve the equation 2x + 5 = 15
Step 1: Identify the variable. In this case, the variable is x.
Step 2: Determine the operation. The equation requires subtracting to isolate the variable.
Step 3: Add or subtract. Subtract 5 from both sides of the equation:
2x + 5 - 5 = 15 - 5
2x = 10
Step 4: Simplify. Divide both sides of the equation by 2 to solve for x:
2x/2 = 10/2
x = 5
Therefore, the solution to the equation 2x + 5 = 15 is x = 5.