Math Problem Statement
Find an expression which represents the sum of left parenthesis, 10, x, minus, 2, right parenthesis(10x−2) and left parenthesis, minus, 6, x, minus, 9, right parenthesis(−6x−9) in simplest terms.
Solution
To find the expression representing the sum of and , follow these steps:
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Write down the original expressions:
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Combine like terms:
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Combine the terms:
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Combine the constant terms:
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Write the simplified expression:
So, the expression that represents the sum in simplest terms is .
Would you like further explanation or examples? Here are some related questions:
- How would the expression change if the second term was positive, ?
- Can you factor the expression ?
- What happens if ? What is the value of the expression?
- How does the expression relate to a linear equation?
- What is the derivative of the expression with respect to ?
Tip: When combining expressions, always pay close attention to the signs (positive or negative) in front of each term.
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Math Problem Analysis
Mathematical Concepts
Algebra
Combining Like Terms
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9
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