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Functions

SAT Translating Word Problems

If \(2\) less than \(8\) times a number is equal to \(11\), what is \(9\) times the number?

(A) \(\ \ 1\frac{5}{8}\)
(B) \(\ \ 2\)
(C) \(\ \ 14\)
(D) \(\ \ 14\frac{5}{8}\)
(E) \(\ \ 16\frac{1}{2}\)

When the number \(n\) is divided by \(8\), the result is the same as when \(8\) is subtracted from \(n\). What is the value of \(14n\)?

(A) \(\ \ 6\)
(B) \(\ \ 8\)
(C) \(\ \ 14\)
(D) \(\ \ 64\)
(E) \(\ \ 128\)

\(8n-42\) is less than \(24\).

Which of the following values for \(n\) is the largest to satisfy the statement above?

(A) \(\ \ 6\)
(B) \(\ \ 7\)
(C) \(\ \ 8\)
(D) \(\ \ 9\)
(E) \(\ \ 10\)

If \(\frac{6}{5}\) of a number is \(102\), what is \(\frac{4}{5}\) of the number?

(A) \(\ \ \frac{24}{25}\)

(B) \(\ \ \frac{2448}{25}\)

(C) \(\ \ \frac{408}{5}\)

(D) \(\ \ 68\)

(E) \(\ \ 85\)

If \(y\) equals \(74\) percent of \(m\) and \(m\) equals \(78\) percent of \(n\), which of the following expresses \(y\) in terms of \(n\)?

(A) \(\ \ 0.5772\%\ \text{of}\ n\)

(B) \(\ \ 57.72\%\ \text{of}\ n\)

(C) \(\ \ 74\%\ \text{of}\ n\)

(D) \(\ \ 152\%\ \text{of}\ n\)

(E) \(\ \ 5772\%\ \text{of}\ n\)

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