section 1
time—25 minutes
16 questions
directions: in this section solve each problem, using any available space on the page for seratchwork. then indicate the best of the answer choices given.
numbers: all numbers used are real numbers.
figures: figures that apany problems in this section are intended to provide information useful in solving the problems. they are drawn as accurately as possible except when it is stated in a specific problem that its figure is not drawn to scale. all figures lie in a plane unless otherwise indicated.
1. a study based on a random sample revealed that on average 2 out of 5 adults have high blood pressure. if these results hold true for the 580.000 adults in city a approximately how many adults in city a have high blood pressure?
(a) 116.000
(b) 145.000
(c) 232.000
(d) 250.000
(e) 290.000
2. the sum is between
(a) and
(b) and 1
(c) 1 and 1
(d) 1 and 1
(e) 1 and 2
3. a certain state legislature consists of 124 members. each of whom is either a democrat or a republican. if there are 18 more republicans that democrates. how many republicans are in the legislature?
(a) 44
(b) 53
(c) 71
(d) 80
(e) 106
4. a certain psychologist charges $30 more for the first hour of therapy than for each additional hour. if the total charge to a patient who recetves 6 hours of t hereapy is $300 what is the total charge to a patient who receives only 3 hours of therapy?
(a) $120
(b) $135
(c) $150
(d) $165
(e) $192
5. if x+y=1 and x-y=-1, what is the value of xy?
(a) -2
(b) -1
(c) 0
(d) 1
(e) 6
6. not scored
7. if (x2+6x+9)+6(x+3)+9=0. then x=
(a) -6
(b) -3
(c) 0
(d) 3
(e) 6
8. in 1982 and 1983pany b s operating expenses were $12.0 million and $14.0 million. respectively, and its revenues were $15.6 million and $18.8 million respectively. what was the percent increase inpany b s profit (revenues minus operating expenses) from 1982 to 1983?
(a) 3%
(b) 16%
(c) 25%
(d) 33%
(e) 60%
9. if a and b are integers and b0, which of the following cannot equal 0?
(a) ab
(b) a-b
(c) a+b
(d) ab-b2
(e) a2+b2
10. what are the coordinates of point b in the xy-plane above?
(a) (6. 12)
(b) (6. 28)
(c) (8. 20)
(d) (12. 20)
(e) (14. 28)
11. last year 31 percent of ace bookpany s sales revenue came from the sale of novels. of the remaining revenue, was from the sale of biographies. thepany s revenue from the sale of novels was approximately how many times its revenue from the sale of biographies?
(a) 1.3
(b) 1.5
(c) 2.1
(d) 2.5
(e) 3.1
12. there musical tones have frequencies x, y, and z, respectively. if x, y, and z are positive, , and 2x=z, what is y in terms of x?
(a) 2x
(b) ()x
(c) x
(d) x
(e) x