SAT Mc Graw Hill 2011

258 MCGRAW-HILL’S SAT

SAT Practice 6: Finding Alternatives

Try to find at least two different ways of solving each

of the following problems, and check that both meth-

ods give you the same answer.

1. If m= 2x−5 and n= x+ 7, which of the follow-
   ing expresses xin terms of mand n?

(A)

(B) m−n+ 2

(C)

(D) m−n+ 12

(E) 2(m−n+12)

2. Three squares have sides with lengths a, b, and c.
   If bis 20% greater than aand cis 25% greater
   than b, then by what percent is the area of the
   largest square greater than the area of the small-
   est square?
   (A) 20%
   (B) 50%
   (C) 75%
   (D) 125%
   (E) 225%


3. Jim and Ellen together weigh 290 pounds. Ellen
   and Ria together weigh 230 pounds. All three to-
   gether weigh 400 pounds. What is Ellen’s
   weight?
   (A) 110 lbs
   (B) 120 lbs
   (C) 130 lbs
   (D) 140 lbs
   (E) 170 lbs

mn−+ 12

2

mn−+ 2

2

4. A painter used one-fourth of her paint on one
   room and one-third of her paint on a second
   room. If she had 10 gallons of paint left after
   painting the second room, how many gallons did
   she have when she began?
   (A) 19
   (B) 24
   (C) 28
   (D) 30
   (E) 50


5. If and 4r= 7t, what is the value of sin
   terms of t?
   (A) 35t
   (B)

(C) 35t− 4

(D) 31t

(E) 70t

35

4

t

r

s

=

5