Download 4. If 4x - 5 =10, then x =

Accelerated Math I: SAT Practice Problems
^
1. Which of the following is equivalent
to (y + z)x ?
(A) xyz
(B) xy + z
(C) xy + xz
(D) x + yz
(E) x + y + z
5. In a sequence, each term after the first is
found by adding the constant k to the
preceding term. The 10th term in the sequence
is 23, and the 16th term is 41. What is the 7,h
term in the sequence?
(A) -23
(B) -22
.(C) -18
2. If 2x + 1 = -1, what is the value of
x2 + 2x - 1?
(D) 14
(E) 18
(A) -2
(B) -i
(C) 0
(D) 2
(E) 7
3. A bookcase contains a total of 30 books,
^-/' each of which is either a hardcover book or a
paperback book. If the number of hardcover
books is £ the number of paperback books,
how many hardcover books are in the
6. The average (arithmetic mean) weight on 8
rocks in a pile is 15 pounds. Another rock is
added, and the average weight of the rocks in
the pile increases to 16 pounds. What is the
weight, in pounds, of the added rock?
(A) 16
(B) 20
(C) 24
(D) 28
(E) 31
bookcase?
(A) 5
(B) 10
(C) 15
(D) 20
(E) 25
4. If 4x - 5 =10, then x =
(A) 75
(B) 95
(A) Three
(B) Five
(C) Seven
(C) 105
(D) Ten
(D) 125
(E) Twenty
(E) 225
^J
7. -Sally's class has a reading list that
consists of 5 novels and 2 biographies. Sally
will select one novel and one biography from
the reading list to complete an assignment.
How many different selections of a novel and
a biography are possible?
8. The function f is defined by
12. In a certain election, 60 percent of those
f(x) = xz +c, where c is a constant. What
who voted were females. If 8000 males
is f (7) in terms of c?
voted, what was the total number of people
(A) 49+ c
who voted in the election?
(B) 49 + 7c
(A) 12,800
(C) 7 + c2
(D) 49 +c2
(E) (7 ♦ c)2
(B) 14,000
n
(C) 18,600
(D) 20,000
(E) 21,000
9. At Paulie's Pizza Parlor, it costs $8.00 for
a plain cheese pizza, plus $0.50 for each
topping. If the function Cji) represents the
13. If 6.93 xlO"-1 is an integer between
cost, in dollars, of a cheese pizza with n
toppings, which of the following is true?
(A) C(n) = 8.00 + 0.50
what is the value of a?
600,000 and 700,000 and a is an integer,
(A) 2
(B) 3
(B) C(n) - 8.00 +0.50n
(O 4
(C) C(n) = 8.00n + 0.50
(W 5
(E) 6
(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?
14. If multiplying k by 7 gives the same
result as squaring k , which of the following
must be true?
(B) sin
(A) 7 + k = k2
(B) k2 + k = 7
(C) k2 +7k =1
ce) TSU
(D) 7k = 1
(D) TUS
(E) 7k = k2
(A) STU
r>
(E) UTS
15. Mary earns $50 per week, after taxes,
11.
(x +6)" =0
How many different values of x satisfy the
equation above?
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
(A) None
is the fewest number of weeks that it will
(B) One
take her to save $450?
(C) Two
(A) 9
(D) Four
(B) 15
(E) More than four
(C) 18
(D) 23
(E) 29
n
21.
16. If —=2,
what is the value of %-?
Zc
5
6c
w
S(L) =3£- 20.5
The function 5 defined above can be used to
approximate a woman's shoe size in the United
(A) 3/5
States, where L is the woman s foot length, ir
(B) 3/2
inches. According to this function, which of
the following best approximates the shoe sizi
(C) 9/5
(D) 9/2
(E) 27/5
17. If 5 more than x is equal to 10, what is
of a woman whose foot length is 9.3 inches?
(A) 5 £
(B) 6
(0 6 £
(D) 7
the value of x?
• (E) 7 £
(A) -15
(B)-5
(C) 2
22. For all integers n, let the function fbe
(D) 5
defined by f(n) = /?2 -n. What is the value
(E) 15
off(-l)?
(A) -2
18. The sum of which of the following
(B) -1
combinations of numbers will be odd?
(C) 0
(A)
(B)
(C)
(D)
(E)
One even and two odd numbers
Two even numbers
Three even numbers
Three odd numbers
Four odd numbers
19. If xy = 5, xz =10, yz = 2, and x, y, and z
are positive, what is the value of xyz?
(D) 1
(E) 2
23. Nir. 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) 5
(A) 8 + n
(B) 10
(C) 20
(B) 8 + 4n
(D) 25
(C) 8(4n)
(D) 8n
(E) 50
(E) 4n
24.
20. If x = 3y and w = 3, what is the value
of wy - x?
^
3a + 7 = 4b - 3
Each of the following is equivalent to the
equation above EXCEPT
(A)0
(A) 3a = 4b + 10
(B) 1
(C) 3
(B) 3a + 10 = 4b
(D) 6
(D) 10 = 4b-3a
(E)9
(E) 3a - 4b = -10
(C) 3a + 3 = 4b-7
30.
8, 21,
25. The cost of a case of 12 computer
adapters is $75. When purchased separately,
each adapter costs $8. How many dollars
would be saved by purchasing a case of
adapters, rather than purchasing 12 adapters
The first term of the sequence above is 8.
separately?
the sequence?
26. On a number line, the number x is
31. Michael ran 5.5 miles each day for the
first 5 of 6 days. How many miles must he run
on the sixth day so that his average
(arithmetic mean) for the 6 days will be 6.0
miles per day?
halfway between 2 and 3. What is the value
of |l-x|?
r\
Each term after the first term is 5 more
than twice the term immediately preceding it.
What is the sum of the first four terms of
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
first product than the second?
32. In Lewiston, 4 out of every 7 registered
voters voted in the last election. If a total of
2000 votes were cast, what was the number
f""^
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 + 0.61, where t is the
temperature in degrees Celsius. According to
the model, for what value of t is the speed
of sound in dry air 343.7 meters per second?
33. If 4x + 8y - 8 = 10, what is the value of
x + 2y?
29. If x2 <2x , what is one possible value
for x?
n