QQuestionMathematics
QuestionMathematics
"Simplify 4x+ 8x using the properties of operations.
A. 4x+ 8
B. 12x^2
C. 4 + 8x
D. 12x"
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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 the Like Terms
In the expression $$4x + 8x$$, both terms have the variable $$x$$.
These are like terms that can be combined by adding their coefficients.
Step 3:: Add the Coefficients
To simplify, add the coefficients of $$x$$:
4x + 8x = (4 + 8)x
Step 4:: Perform the Addition
4 + 8 = 12$$, so the simplified expression becomes:
4x + 8x = 12x
Step 5:: Verify the Correct Answer
Looking at the given options, $$12x$$ corresponds to option D.
Final Answer
Key Insights: - Like terms are terms with the same variable raised to the same power - To combine like terms, add or subtract their coefficients - The variable remains the same after combining like terms
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