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Functions

SAT Algebra Word Problems

Alice spends \(3\) hours a week studying at school and \(9\) hours a week studying at home. What fraction of the week does she spend studying?

(A) \(\ \ \frac{7}{168}\)

(B) \(\ \ \frac{9}{168}\)

(C) \(\ \ \frac{1}{14}\)

(D) \(\ \ 12\)

(E) \(\ \ 168\)

Book A costs \(7\) times more than book B, and book C costs \(2\) times more than book B. If book C costs \(26\) dollars, what is the price of book A?

(A) \(\ \ \$7\)
(B) \(\ \ \$13\)
(C) \(\ \ \$26\)
(D) \(\ \ \$31\)
(E) \(\ \ \$91\)

Adam and Bob baked cookies for their soccer team. Adam baked \(2\) fewer cookies than Bob. If Bob baked \(b\) cookies, in terms of \(b,\) what percent of the total number of cookies did Adam bake?

(A) \(\ \ \frac{(b-2)}{100(2b-2)}\)

(B) \(\ \ \frac{b-2}{2b-2}\)

(C) \(\ \ \frac{1}{50}\)

(D) \(\ \ \frac{100(b-2)}{2b-2}\)

(E) \(\ \ \frac{100(b+2)}{2b+2}\)

Nick got \( \$20\) for his birthday. He wants to buy a camera that costs \( \$ 118.\) If each month he saves \(\$7,\) in how many months will he be able to purchase the camera?

(A) \(\ \ 14\)
(B) \(\ \ 13\)
(C) \(\ \ 12\)
(D) \(\ \ 11\)
(E) \(\ \ 10\)

At the premiere of a theatre production, a theatre sold \(90\) tickets. If it charged adults \(\$ 17\) per ticket and students \(\$ 12\) per ticket, and if it made a revenue of \(\$ 1380\), how many tickets were sold to adults?

(A) \(\ \ 12\)
(B) \(\ \ 17\)
(C) \(\ \ 30\)
(D) \(\ \ 60\)
(E) \(\ \ 90\)

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