CHAPTER 7 / ESSENTIAL PRE-ALGEBRA SKILLS 293
- For all real numbers b,−(−b−b−b−b) =
(A) − 4 b (B) 4b (C) b^4
(D) −b^4 (E) 4b^4 - If k=(m−1)(m−2)(m−3), then for which of
the following values of mis kgreater than 0?
(A) 2.47
(B) 1.47
(C) 0.47
(D) 1.47
(E) 2.47 - For all real numbers w,−w^2 −(−w)^2 =
(A) −w^4
(B) − 2 w^2
(C) 0
(D) 2w^2
(E) w^4 - If > 1, which of the following must be true?
I. m> n
II. > 0
III. m> 1
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only
- If x=−yand x≠0, then which of the following
must be true?
I. x^2 y^3 < 0
II. (x+y)^2 = 0
III. < 0
(A) III only
(B) I and II only
(C) II and III only
(D) I and III only
(E) I, II, and III
x
y
m
n
m
n
- If mn^4 p^5 > 0 and m< 0, then which of the fol-
lowing expressions must be negative?
(A) mn
(B) m^2
(C) p^5
(D) mp
(E) np - If 0 < a< b< c< d< e< fand
(a−b)(c−d) (e−f)(x) =(b−a)(d−c)(f−e),
then x=
(A) 4
(B) 3
(C) 2
(D) 1
(E) 0 - If the sum of the integers from 15 to 50, inclu-
sive, is equal to the sum of the integers from n
to 50, inclusive, and n< 15, then n=
(A) 50
(B) 49
(C) 35
(D) 15
(E) 14 - If − 2 x< −7 and y< 2.5, then which of the fol-
lowing must be true?
I. xy> 0
II. x−y> 0
III. x> 3
(A) II only
(B) I and II only
(C) II and III only
(D) I and III only
(E) I, II, and III
- A sequence of numbers begins with the num-
bers −1, 1, 1, ..., and each term afterward is
the product of the preceding three terms. How
many of the first 57 terms of this sequence are
negative?
(A) 19 (B) 20 (C) 28
(D) 29 (E) 30
SAT Practice 6: Negatives