practice exam1 - leemath3000.org

Math 125 (Intermediate Algebra, Fall 2014/hybrid)
Is the following correspondence a function?
1)
Exam1
Name:
1)
A) No
B) Yes
2) Domain: All students attending the University of Ohio
Correspondence: Each student's teachers
Range: A set of teachers
A) No
B) Yes
2)
A function of x is depicted in the graph. Find any input values that produce the indicated output.
3) Testgen questions still do not copy to other applications.Testgen questions still do not copy to other
applications.f(x) = -2
A) x = -1
B) x = 1 and x = -3
C) x = -1 and x = 3
3)
D) x = -5 and x = 7
Determine whether the graph is the graph of a function.
4)
4)
A) Yes
Find the function value.
5) Find f(x - 2) when f(x) =
B) No
2x - 5
.
3x + 4
5)
Find the domain of f.
x2 - 16
6) f(x) =
x2 - 7x + 10
A) {x|x is a real number and x
C) {x|x is a real number and x
6)
-2 and x -5}
2 and x 5}
B) {x|x is a real number and x
D) {x|x is a real number and x
1
4 and x
0}
-4}
For the graph of a function f, determine the domain or the range as indicated.
7) Find the range.
A) {y y is a real number and 0 y 4}
C) {y y is a real number and -5 y 5}
B) {y y is a real number and -4
D) {y y is a real number and -2
Find the indicated function value for the function.
x - 3, if x < -1
8) Find f(2), given f(x) =
2x, if -1 x < 1
2x + 2, if x 1
A) 4
B) 6
Graph.
9) y = -
7)
y
y
0}
2}
8)
C) -1
1
x-3
2
D) 5
9)
Solve the problem.
10) The cost of a taxi ride in Happy Hollow is $3.50 plus $0.60 per mile. Formulate a model that can be
used to determine the total cost, C(m), of a ride of m miles. Find the total cost of a ride of 3 miles.
A) $5.30
B) $1.80
C) $4.10
D) $12.30
Solve.
11) Let f(x) = 7x + 3 and g(x) = 9x2 + 5. Find f(6) - g(6) .
For the pair of functions, find the indicated sum, difference, product, or quotient.
12) f(x) = 6 - 7x, g(x) = -2x2 + 7
Find (f + g)(x).
13) f(x) = x2 + 1, g(x) = 8x + 7
Find (f · g)(x).
11)
12)
13)
2
10)
For the functions f(x) and g(x), determine the domain of (f - g)(x) (the difference of f and g).
4
, g(x) = 1 - x2
14) f(x) = 3x +
x-9
A) {x x is a real number and x
C) {x x is a real number and x
B) {x x is a real number}
D) {x x is a real number and x
-9}
9}
14)
1}
For the functions f(x) and g(x), determine the domain of (f/g)(x) (the quotient of f and g).
5
, g(x) = 8 - x
15) f(x) =
x-3
A) {x
B) {x
C) {x
D) {x
x is a real number and x
x is a real number and x
x is a real number and x
x is a real number and x
15)
8}
3}
-3 and x -8}
3 and x 8}
Solve the formula for the specified letter.
1
16) A = h(B + b) for b
2
A) b = 2A - Bh
17) I =
B) b =
16)
A - Bh
h
C) b =
2A - Bh
h
D) b =
2A + Bh
h
nE
for n
nr + R
A) n =
IR
Ir - E
17)
C) n =
B) n = IR - E + Ir
IR
E - Ir
D) n =
I(nr + R)
E
Solve the problem.
18) The speed of a current is 6 mph. If a boat travels 52 miles downstream in the same time that it takes to
travel 26 miles upstream, what is the speed of the boat in still water?
A) 21 mph
B) 12 mph
C) 20 mph
D) 18 mph
18)
19) Ron and Kathy are ticket sellers for their class play. Ron sells student tickets for $2.00 each, and Kathy
sells adult tickets for $4.50 each. If their total revenue for 364 tickets is $1175.50, then how many tickets
did Ron sell?
A) 179 tickets
B) 185 tickets
C) 157 tickets
D) 163 tickets
19)
20) An orchard operator must dilute 11 quarts of a 60%-insecticide solution by adding water. How many
quarts of water should be added to get a mixture that is 2% insecticide?
A) 219 quarts
B) 319 quarts
C) 330 quarts
D) 119 quarts
20)
Solve algebraically.
21) 3(x + 2) - 25x < -4(5x + 3) - 3x
A) {x|x > 18} or (18, )
C) {x|x > -18} or (-18, )
B) {x|x < 18} or (- , 18)
D) {x|x < -18} or (- , -18)
3
21)
Solve the inequality using the given graph.
22) f(x) > g(x)
22)
A) {x|x > 1} or (1, )
C) {x|x < 1} or ( , 1)
B) {x|x < 2} or ( , 2)
D) {x|x > 2} or (2, )
Find the domain of the function.
1
23) f(x) = 2x +
3
A) x|x
1
1
or ,
6
6
C) x|x
-
23)
-
1
1
or - ,
6
6
D) x|x > -
1
1
or - ,
6
6
B) x|x
1
1
or - , 6
6
Solve the inequality.
24) A salesperson has two job offers. Company A offers a weekly salary of $720 plus commission of 16% of
sales. Company B offers a weekly salary of $1440 plus commission of 8% of sales. What is the amount
of sales above which Company A's offer is the better of the two?
A) $9000
B) $9100
C) $4500
D) $18,000
25) A car rental company has two rental rates. Rate 1 is $81 per day plus $.18 per mile. Rate 2 is $162 per
day plus $.09 per mile. If you plan to rent for one week, how many miles would you need to drive to
pay less by taking Rate 2?
A) more than 6400 miles
B) more than 12,600 miles
C) more than 6300 miles
D) more than 22,050 miles
Solve the inequality. Write the answer in set-builder notation.
26) -7x + 1 15 or 5x + 3 -17
27) 0
24)
25)
26)
2x + 6 and 7x + 2 < 9
27)
Solve the absolute-value inequality.
28) |8k + 7| - 6 < -4
9
A) - , 8
28)
9
5
B) - , 8
8
D) - , -
C) No solution
4
9
8
-
5
,
8
Solve and graph.
29) |x - 6| - 7
29)
2
A) (- , -3]
[15, )
B) [15, )
C) [-3, 15]
D) (-3, 15)
Find the requested solution.
30) Let f(x) = 4 - 3x . Find all x for which f(x) 8.
4
4
4,
A) - 4,
B) - , 3
3
4
C) - , 4
3
30)
D)
Solve the system.
31) 5x + 2y + z = -11
2x - 3y - z = 17
7x + y + 2z = -4
32)
Solve.
31)
32)
x - y + 3z = -13
x + 4y + z = -13
0.4x +
0.1z = -0.5
33) In triangle ABC, the measure of angle B is 19° more than twice the measure of angle A. The
measure of angle C is 109° more than that of angle A. Find the angle measures.
33)
34) Michael's bank contains only nickels, dimes, and quarters. There are 66 coins in all, valued at $
5.35. The number of nickels is 2 short of being three times the sum of the number of dimes and
quarters together. How many dimes are in the bank?
34)
5
Answer Key
Testname: EXAM1
1)
2)
3)
4)
A
A
C
A
2x - 9
5)
3x - 2
6) C
7) B
8) B
9)
10) A
11) -284
12) -2x2 - 7x + 13
13) 8x3 + 7x2 + 8x + 7
14) C
15) D
16) C
17) C
18) D
19) B
20) B
21) D
22) C
23) B
24) A
25) C
26)
27)
28) B
29) A
30) B
31) (0, -6, 1)
6
Answer Key
Testname: EXAM1
32) (0, -2, -5)
33) 13°, 45°, 122°
34) 9
7

Download Report