Math Problem Statement
Which algebraic expression is equivalent to this expression?
3(2x − 8) – 11x
A. -17x – 8
B. -5x – 8
C. -17x – 24
D. -5x – 24
Solution
To simplify the expression , follow these steps:
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Distribute the 3:
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Subtract 11x from the result:
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Combine like terms ():
So, the simplified expression is .
The correct answer is:
D. -5x - 24
Would you like details or have any questions about this?
Here are some related questions:
- How do you distribute a number across terms in parentheses?
- What are like terms in an algebraic expression?
- How do you simplify algebraic expressions with multiple variables?
- What steps are involved in solving linear equations?
- Can you explain how to factor algebraic expressions?
Tip: Always check your final expression by substituting a simple value for the variable to verify your result.
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Math Problem Analysis
Mathematical Concepts
Algebra
Distributive Property
Combining Like Terms
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9