Answer the following 14 questions. You have 20 minutes to complete this section of the Entrance Exam.
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1. What is the value of the expression ab – 3c when a = −4, b = 5 and c = −3? A. −29 B. −26 C. −11 D. 20 ABCDE
2. What is the value of y, when x = 3 and y = 5 + 4x? A. 6 B. 9 C. 12 D. 17 ABCDE
3. What is the value of the expression (xy + yz)/xy, when x = 1, y = 3 and z = 6? A. 3 B. 7 C. 12 D. 21 ABCDE
4. What is the value of y when x = 8 and y = (x2 ÷ 4) − 2? A. 8 B. 14 C. 16 D. 18 ABCDE
5. Evaluate the following expression if a = 3, b = 4, and c = –2: (ab – ac) ÷ abc. A. -7/8 B. -3/4 C. -1/4 D. 1/4 ABCDE
6. Which of the following is equivalent to (x – 3)(x + 7)? A. x2 – 3x – 21 B. x2 – 4x – 21 C. x2 + 4x – 21 D. x2 – 21 ABCDE
7. Solve for x in terms of r and s: s = 2x – r A. x = s + r – 2 B. x = 2s – r C. x = (s + r)/2 D. x = 2/(s + r) ABCDE
8. Multiply the binomials: (x – 2)(2x + 5) A. 2x2 + x – 10 B. 2x2 + 9x – 10 C. 2x2 + x + 10 D. 2x2 – 9x – 10 ABCDE
9. If a function is defined as f(x) = 5x2 – 3, what is the value of f(–2)? A. –13 B. 7 C. –23 D. 17 ABCDE
10. If a function is defined as g(x) = x2 – 4x + 1, what is the value of g(1)? A. –3 B. –2 C. –1 D. 1 ABCDE
11. Simplify: (7n6 – 19n3 – 19) – (3n6 + 11n3 – 3) A. 4n6 – 30n3 – 22 B. 4n6 – 30n3 – 16 C. 4n6 – 16n3 – 22 D. –42n9 ABCDE
12. Simplify: 7r + 12r6 – 3r6 + 12r A. 28r6 B. 28r C. 19r + 9r6 D. cannot be simplified ABCDE
13. If A = 7(B – 3), then B = A. 7A + 3 B. A/7 + 3 C. A/7 D. (A + 3)/7 ABCDE
14. If 2(M+3) = N/2, then N = A. M + 3 B. 2M + 3 C. 2M + 6 D. 4M + 12 ABCDE