QQuestionMathematics
QuestionMathematics
Simplify 4x+ 8x using the properties of operations.
A. 448x
B. 12z
C. 12z^2
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Answer
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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Identify Like Terms
The expression $$4x$$ and $$8x$$ are like terms because they both have the variable $$x$$ with the same exponent.
Step 3:: Apply the Distributive Property of Addition
4x + 8x = (4 + 8)x
To simplify like terms, we add their coefficients:
Step 4:: Perform the Addition
4x + 8x = 12x
Step 5:: Verify the Simplification
We combined the coefficients of $$x$$ by adding 4 and 8, which results in 12.
Final Answer
Checking the given options: A. 448x - Incorrect B. 12z - Incorrect (note the different variable) C. 12z^2 - Incorrect The correct simplification is 12x, which is not among the given options. However, based on the problem statement, the closest answer would be the option with 12x (which is not listed).
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