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How Do You Solve a Word Problem with an Equation Using Subtraction?
Before bed each night Cameron says 'I love Algebra'. If he says this 17 more nights he will have said it 100 times. How many nights has he said it already?
Summary
- 'n' is a variable that represents the number of nights Cameron has said 'I love Algebra'
- Write an equation from the word problem
- Solve for 'n' by subtracting 17 from both sides
- The 17's cancel out on the left, and 100 minus 17 is 83 nights
- Check our answer by plugging 83 in for 'n'
- The left and right sides are equal, so our answer is correct!

Notes
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- 'n' is a variable that represents the number of nights Cameron has said 'I love Algebra'
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- 'n' is a variable that represents the number of nights Cameron has said 'I love Algebra'
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- 'n' is a variable that represents the number of nights Cameron has said 'I love Algebra'
- We have 'n' plus 17
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- 'n' is a variable that represents the number of nights Cameron has said 'I love Algebra'
- We have 'n' plus 17 equals 100
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- Our equation is 'n' plus 17 equals 100
- Solve for 'n' just means we have to get 'n' by itself and on one side
- 'n' is a variable that represents the number of nights Cameron has said 'I love Algebra'
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- 'n' is a variable that represents the number of nights Cameron has said 'I love Algebra'
- Subtraction is the opposite of addition
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- The 17's cancel out on the left
- On the right hand side we have 100 minus 17 equals 83
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- To check our answer we must plug 83 in for 'n' and evaluate the equation
- 'n' is a variable that represents the number of nights Cameron has said 'I love Algebra'
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- 'n' is a variable that represents the number of nights Cameron has said 'I love Algebra'
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