smc-4697-10-Equivalence

Algebraic Techniques, SM-Bank 089 MC

\(\dfrac{2}{m}\) is equivalent to:

\(\dfrac{4}{8m}\)
\(\dfrac{3m}{12}\)
\(\dfrac{6m}{3m^2}\)
\(\dfrac{1}{m}+\dfrac{1}{m}\)

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\(C\)

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\(\text{Consider Option C:}\)

\(\dfrac{6m}{3m^2}\)	\(=\dfrac{3\times 2\times m}{3\times m\times m}\)
	\(=\dfrac{2}{m}\)

\(\Rightarrow C\)

Algebraic Techniques, SM-Bank 088 MC

\(\dfrac{a}{4}\) is equivalent to:

\(\dfrac{4a}{a}\)
\(\dfrac{3a}{12}\)
\(\dfrac{a^2}{4a^3}\)
\(\dfrac{a^4}{a^3}\)

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\(B\)

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\(\text{Consider Option B:}\)

\(\dfrac{3a}{12}\)	\(=\dfrac{3\times a}{3\times 4}\)
	\(=\dfrac{a}{4}\)

\(\Rightarrow B\)

Algebraic Techniques, SM-Bank 087 MC

\(\dfrac{x}{3}\) is equivalent to:

\(\dfrac{2x}{6}\)
\(x+\dfrac{1}{3}\)
\(\dfrac{12x}{4}\)
\(\dfrac{x^3}{x^2}\)

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\(A\)

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\(\text{Consider Option A:}\)

\(\dfrac{2x}{6}\)	\(=\dfrac{2\times x}{2\times 3}\)
	\(=\dfrac{x}{3}\)

\(\Rightarrow A\)