## Part III — Algebraic Expressions

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: (abac) ÷ 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 = 2xr
A. x = s + r – 2
B. x = 2sr
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