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Transcript
Accelerated Math I: SAT Practice Problems
1. Which of the following is equivalent
to (y + z)x ?
5. In a sequence, each term after the first is
found by adding the constant k to the
(A) xyz
preceding term. The 10th term in the sequence
(B) xy + z
is 23, and the 16th term is 41. What is the 7th
(C) xy + xz
term in the sequence?
(D) x + yz
(A) -23
(E) x + y + z
(B) -22
(C) -18
2. If 2x + 1 = -1 , what is the value of
2
x + 2x – 1?
(D) 14
(E) 18
(A) -2
(B) -1
6. The average (arithmetic mean) weight on 8
(C) 0
rocks in a pile is 15 pounds. Another rock is
(D) 2
added, and the average weight of the rocks in
(E) 7
the pile increases to 16 pounds. What is the
weight, in pounds, of the added rock?
3. A bookcase contains a total of 30 books,
(A) 16
each of which is either a hardcover book or a
(B) 20
paperback book. If the number of hardcover
(C) 24
books is ½ the number of paperback books,
(D) 28
how many hardcover books are in the
(E) 31
bookcase?
(A) 5
7. Sally’s class has a reading list that
(B) 10
consists of 5 novels and 2 biographies. Sally
(C) 15
will select one novel and one biography from
(D) 20
the reading list to complete an assignment.
(E) 25
How many different selections of a novel and
a biography are possible?
4. If
x  5  10, then x =
(A) 75
(B) 95
(C) 105
(D) 125
(E) 225
(A) Three
(B) Five
(C) Seven
(D) Ten
(E) Twenty
8. The function f is defined by
12. In a certain election, 60 percent of those
f (x )  x  c , where c is a constant. What
who voted were females. If 8000 males
2
is f(7) in terms of c?
(A) 49 + c
(B) 49 + 7c
(C) 7 + c2
(D) 49 + c2
(E) (7 + c)2
9. At Paulie’s Pizza Parlor, it costs $8.00 for
a plain cheese pizza, plus $0.50 for each
topping. If the function C(n) represents the
cost, in dollars, of a cheese pizza with n
toppings, which of the following is true?
(A) C(n) = 8.00 + 0.50
(B) C(n) = 8.00 + 0.50n
(C) C(n) = 8.00n + 0.50
(D) n = 8.00 + 0.50C(n)
(E) n = 8.00C(n) + 0.50
10. S, T, and U are digits such that
0 < S < T < U. Which of the following 3-digit
numbers is greatest?
(A) STU
(B) SUT
(C) TSU
(D) TUS
(E) UTS
11.
(x + 6)2 = 0
How many different values of x satisfy the
equation above?
(A) None
(B) One
(C) Two
(D) Four
(E) More than four
voted, what was the total number of people
who voted in the election?
(A) 12,800
(B) 14,000
(C) 18,600
(D) 20,000
(E) 21,000
13. If 6.93  10a 1 is an integer between
600,000 and 700,000 and a is an integer,
what is the value of a ?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
14. If multiplying k by 7 gives the same
result as squaring k , which of the following
must be true?
(A) 7 + k = k2
(B) k2 + k = 7
(C) k2 + 7k = 1
(D) 7k = 1
(E) 7k = k2
15. Mary earns $50 per week, after taxes,
working part-time at a hardware store. Her
weekly budget allots $14 for paying back a
loan, $16 for miscellaneous expenses, and the
rest for savings. Based on this budget, what
is the fewest number of weeks that it will
take her to save $450?
(A) 9
(B) 15
(C) 18
(D) 23
(E) 29
21.
16. If
S(L) = 3L – 20.5
3b 9
9b
?
 , what is the value of
2c 5
6c
The function S defined above can be used to
(A) 3/5
States, where L is the woman’s foot length, in
(B) 3/2
inches. According to this function, which of
(C) 9/5
the following best approximates the shoe size
(D) 9/2
of a woman whose foot length is 9.3 inches?
approximate a woman’s shoe size in the United
(E) 27/5
(A) 5 ½
(B) 6
17. If 5 more than x is equal to 10, what is
(C) 6 ½
the value of x?
(D) 7
(A) -15
(E) 7 ½
(B) -5
(C) 2
22. For all integers n, let the function f be
(D) 5
defined by f (n )  n 2  n . What is the value
(E) 15
off (1) ?
(A) -2
18. The sum of which of the following
(B) -1
combinations of numbers will be odd?
(C) 0
(A) One even and two odd numbers
(D) 1
(B) Two even numbers
(E) 2
(C) Three even numbers
(D) Three odd numbers
(E) Four odd numbers
19. If xy = 5, xz = 10, yz = 2, and x, y, and z
are positive, what is the value of xyz?
(A) 5
23. Mr. Hampton has an 8-foot-tall oak tree
in his backyard. If the tree will grow n feet
in height each year, which of the following
represents the height of the tree, in feet, 4
years from now?
(A) 8 + n
(B) 10
(B) 8 + 4n
(C) 20
(C) 8(4n)
(D) 25
(D) 8n
(E) 50
20. If x = 3y and w = 3, what is the value
of wy – x?
(A) 0
(B) 1
(C) 3
(D) 6
(E) 9
(E) 4n
24.
3a + 7 = 4b – 3
Each of the following is equivalent to the
equation above EXCEPT
(A) 3a = 4b + 10
(B) 3a + 10 = 4b
(C) 3a + 3 = 4b – 7
(D) 10 = 4b – 3a
(E) 3a – 4b = -10
30.
8, 21, . . .
25. The cost of a case of 12 computer
adapters is $75. When purchased separately,
The first term of the sequence above is 8.
each adapter costs $8. How many dollars
Each term after the first term is 5 more
would be saved by purchasing a case of
than twice the term immediately preceding it.
adapters, rather than purchasing 12 adapters
What is the sum of the first four terms of
separately?
the sequence?
26. On a number line, the number x is
31. Michael ran 5.5 miles each day for the
halfway between 2 and 3. What is the value
first 5 of 6 days. How many miles must he run
of |1 - x|?
on the sixth day so that his average
(arithmetic mean) for the 6 days will be 6.0
miles per day?
27. A certain number n is multiplied by 12.
The number that is 3 less than n is also
multiplied by 12. How much greater is the
32. In Lewiston, 4 out of every 7 registered
first product than the second?
voters voted in the last election. If a total of
2000 votes were cast, what was the number
of registered voters in Lewiston at the time
of the election?
28. In dry air, the speed of sound V, in
meters per second, is modeled by the
function V(t) = 331.4 + 0.6t, where t is the
temperature in degrees Celsius. According to
33. If 4x + 8y – 8 = 10, what is the value of
the model, for what value of t is the speed
x + 2y?
of sound in dry air 343.7 meters per second?
29. If x2 < 2x , what is one possible value
for x?