Part III — Algebraic Expressions

    Answer the following 14 questions.
    You have 20 minutes to complete this section of the Entrance Exam.

    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
    ABCD

    2. What is the value of y, when x = 3 and y = 5 + 4x?
    A. 6
    B. 9
    C. 12
    D. 17
    ABCD

    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
    ABCD

    4. What is the value of y when x = 8 and y = (x2 ÷ 4) − 2?
    A. 8
    B. 14
    C. 16
    D. 18
    ABCD

    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
    ABCD

    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
    ABCD

    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)
    ABCD

    8. Multiply the binomials: (x – 2)(2x + 5)
    A. 2x2 + x – 10
    B. 2x2 + 9x – 10
    C. 2x2 + x + 10
    D. 2x2 – 9x – 10
    ABCD

    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
    ABCD

    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
    ABCD

    11. Simplify: (7n6 – 19n3 – 19) – (3n6 + 11n3 – 3)
    A. 4n6 – 30n3 – 22
    B. 4n6 – 30n3 – 16
    C. 4n6 – 16n3 – 22
    D. –42n9
    ABCD

    12. Simplify: 7r + 12r6 - 3r6 + 12r
    A. 28r6
    B. 28r
    C. 19r + 9r6
    D. cannot be simplified
    ABCD

    13. If A = 7(B – 3), then B =
    A. 7A + 3
    B. A/7 + 3
    C. A/7
    D. (A + 3)/7
    ABCD

    14. If 2(M+3) = N/2, then N =
    A. M + 3
    B. 2M + 3
    C. 2M + 6
    D. 4M + 12
    ABCD