276 MCGRAW-HILL’S SAT
- The difference of two integers is 4 and their
sum is 14. What is their product?
(A) 18 (B) 24 (C) 36
(D) 45 (E) 56 - For all real numbers xand y, 4 x(x) − 3 xy(2x) =
(A) 12x^2 y(x− 2 x)
(B) 2x^2 (2 − 3 y)
(C) xy(−x)
(D) 2x^2 (2 + 3 y)
(E) 4x^2 (x− 3 y) - If 3x^2 + 2 x=40, then 15x^2 + 10 x=
(A) 120 (B) 200 (C) 280
(D) 570 (E) 578 - The expression −2(x+2) +x(x+2) is equivalent
to which of the following expressions?
I. x^2 − 4
II. (x−2)(x+2)
III. x^2 − 4 x− 4
(A) none (B) II only
(C) I and II only (D) II and III only
(E) I, II, and III - If (x+y) + 1 = 1 −(1 −x), what is the value
of y?
(A) − 2
(B) − 1
(C) 0
(D) 1
(E) 3 - For all real numbers x, 1 −(1 −(1 −x) −1) =
(A) x
(B) x− 1
(C) x− 2
(D) 1 −x
(E) 2 −x
7. If a = 60(99)^99 + 30(99)^99 , b = 99100 , and
c=90(90)^99 , then which of the following ex-
presses the correct ordering of a, b,and c?
(A) c< a< b
(B) b< c< a
(C) a< b< c
(D) c< b< a
(E) b< a< c
8. Which of the following is equivalent to
5 x(2x×3) − 5 x^2 for all x?
(A) 5x^2 + 15 x
(B) 5x^2 × 15 x
(C) 10x^2 × 15 x− 5 x^2
(D) 145x
(E) 25x^2
9. Which of the following statements must be
true for all values of x, y,and z?
I. (x+y) +z=(z+y) +x
II. (x−y) −z=(z−y) −x
III. (x×y) ×z=(z×y) ×x
(A) I only
(B) I and II only
(C) I and III only
(D) II and III only
(E) I, II, and III - The symbol ◊represents one of the fundamen-
tal arithmetic operators: +, −, ×, or ÷.
If (x◊y) ×(y◊x) =1 for all positive values of x
and y,then ◊can represent
(A) +only
(B) ×only
(C) +or ×only
(D) −only
(E) ÷only
SAT Practice 2: Laws of Arithmetic