Tim solved the equation: `x+7=-15`
When he "checked back," his solution didn't work.
What was his error?
"Grade" his paper and provide helpful feedback below. You can either include the steps to get the correct answer or describe what he did wrong
To solve the equation x + 7 = -15, let's go through the process step by step:
1. Start by getting the variable (x) by itself on one side of the equation. To do this, subtract 7 from both sides of the equation:
x + 7 - 7 = -15 - 7
x = -22
2. Tim's error seems to have taken place during this step. It's important to ensure that when subtracting a number from both sides of the equation, we perform the subtraction correctly. In this case, he may have made a calculation mistake and arrived at a different value for x.
To grade Tim's paper:
Based on Tim's incorrect solution of x = -21, it appears that he subtracted 7 from both sides of the equation but made an error in his calculation. Some helpful feedback for Tim would be to double-check his math when performing arithmetic operations. Encourage him to use a calculator or take his time to ensure accurate calculations.
Correct steps:
1. x + 7 - 7 = -15 - 7
x = -22
Therefore, the correct solution to the equation x + 7 = -15 is x = -22.
To solve the equation `x + 7 = -15`, let's review the steps Tim performed and identify his error:
1. Tim subtracted 7 from both sides of the equation:
`x + 7 - 7 = -15 - 7`
This simplifies to:
`x = -22`
Tim's error is that he did not perform the subtraction correctly. Subtracting 7 from both sides of the equation gives us `x = -22`, not `x = -15` as he calculated. In other words, he mistakenly subtracted 7 from -15 instead of subtracting 7 from both sides of the equation.
To solve the equation correctly, we should follow these steps:
1. Begin with the equation `x + 7 = -15`.
2. Subtract 7 from both sides of the equation to isolate the variable term:
`x = -15 - 7`
Simplifying:
`x = -22`
By correctly performing the subtraction, we find that the correct solution is `x = -22`.
Feedback for Tim:
It seems that Tim made a calculation error while subtracting. To avoid such mistakes, it is important to be attentive while performing operations on both sides of the equation. In this case, subtracting 7 from both sides would have given the correct solution of `x = -22`. Remember to always double-check your calculations to ensure accuracy.
To solve the equation `x + 7 = -15`, let's go through the steps:
1. Start by isolating the variable `x`. To do this, subtract 7 from both sides of the equation:
`x + 7 - 7 = -15 - 7`
Simplifying, we get: `x = -22`
Tim's error: Based on the equation `x + 7 = -15`, it seems that Tim forgot to subtract 7 from both sides of the equation to isolate the variable. He may have mistakenly skipped this step.
Feedback: Tim, to solve an equation, it is important to perform the same operation on both sides of the equation to maintain the balance. However, in your case, it seems you forgot to subtract 7 from both sides of the equation when isolating the variable `x`. Be cautious and double-check each step to ensure the accuracy of your solution.