When you're working on word problems to create linear equations, it helps to have a clear process. Here’s a simple way to do it:
Read the Problem Carefully: Start by reading the problem a few times. This will help you understand what it’s asking. Pay attention to important words like "total," "more than," or "less than."
Identify the Variables: Figure out what you need to find. Use letters to represent each unknown. For example, if you're trying to find out how many apples there are, you could use for the number of apples.
Translate the Words into an Equation: Take what the problem says and turn it into math. For example, if it says, "John has 5 more apples than Sarah," and we let be the number of apples Sarah has, we can write the equation like this: .
Set Up the Equation: Put all the relationships together into one equation. If the total number of apples is 20, your equation would be .
Solve the Equation: Now, use simple algebra to isolate the variable and find the answer. If we substitute for in , it looks like this:
If we simplify that, we get:
Now, isolate to solve for it.
Check Your Solution: Finally, make sure your answer is correct by plugging it back into the original problem to see if it works.
Using this step-by-step method will help you break down word problems and turn them into linear equations that you can solve easily!
When you're working on word problems to create linear equations, it helps to have a clear process. Here’s a simple way to do it:
Read the Problem Carefully: Start by reading the problem a few times. This will help you understand what it’s asking. Pay attention to important words like "total," "more than," or "less than."
Identify the Variables: Figure out what you need to find. Use letters to represent each unknown. For example, if you're trying to find out how many apples there are, you could use for the number of apples.
Translate the Words into an Equation: Take what the problem says and turn it into math. For example, if it says, "John has 5 more apples than Sarah," and we let be the number of apples Sarah has, we can write the equation like this: .
Set Up the Equation: Put all the relationships together into one equation. If the total number of apples is 20, your equation would be .
Solve the Equation: Now, use simple algebra to isolate the variable and find the answer. If we substitute for in , it looks like this:
If we simplify that, we get:
Now, isolate to solve for it.
Check Your Solution: Finally, make sure your answer is correct by plugging it back into the original problem to see if it works.
Using this step-by-step method will help you break down word problems and turn them into linear equations that you can solve easily!