Math 46 - Final Exam Sample Packet B
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve.
1) The house numbers of two adjacent homes are two consecutive even numbers. If their sum is
326, find the house numbers.
A) 162, 324
B) 161, 163
C) 162, 164
D) 163, 165
Solve the formula for the specified variable.
2) A = P + PRT
for R
A
A) R =
B) R = PT
T
A-P
3) S = 2πrh + 2πr2
2)
C) R = P - A
PT
D) R = A - P
PT
for h
A) h = S - r
1)
3)
2
C) h = S - 2πr
2πr
B) h = S - 1
2πr
D) h = 2π(S - r)
Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.
4) A store is advertising 20% off sale on everything in the store. Find the discount of a painting that
4)
regularly sells for $280.
A) $5.60
B) $274.40
C) $56.00
D) $224.00
Multiply.
5) 7y 2(5y 2 - 5y + 8)
A) 35y 4 - 35y 2 + 56
5)
B) 12y 4 + 2y + 15
C) 35y 4 - 35y + 56
D) 35y 4 - 35y 3 + 56y 2
Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.
6) A store is advertising 15% off sale on everything in the store. Find the sale price of a painting
6)
that regularly sells for $260.
A) $2561.00
B) $39.00
C) $3.90
D) $221.00
7) Because of budget cutbacks, MaryAnn was required to take a 18% pay cut. If she earned $28,000
before the pay cut, find her salary after the pay cut.
A) $27,949.60
B) $22,960
C) $27,496
D) $2296
7)
8) A chemist needs 100 milliliters of a 76% solution but has only 55% and 85% solutions available.
Find how many milliliters of each that should be mixed to get the desired solution.
A) 70 ml of 55%; 30 ml of 85%
B) 40 ml of 55%; 60 ml of 85%
C) 60 ml of 55%; 40 ml of 85%
D) 30 ml of 55%; 70 ml of 85%
8)
9) The radiator in a certain make of car needs to contain 50 liters of 40% antifreeze. The radiator
now contains 50 liters of 20% antifreeze. How many liters of this solution must be drained and
replaced with 100% antifreeze to get the desired strength?
A) 12.5 L
B) 25 L
C) 16.7 L
D) 20 L
9)
1
Solve the problem.
10) Sue took her collection of nickels and dimes to deposit in the bank. She has five fewer nickels
than dimes. Her total deposit was $55.40. How many dimes did she deposit?
A) 376 dimes
B) 371 dimes
C) 737 dimes
D) 366 dimes
10)
Solve.
11) Jeff starts driving at 65 miles per hour from the same point that Lauren starts driving at 40 miles
per hour. They drive in opposite directions, and Lauren has a half-hour head start. How long
will they be able to talk on their cell phones that have a 480-mile range?
4
8
17
16
A) 4 hr
B) 4
hr
C) 4
hr
D) 4
hr
7
21
30
21
Solve the problem.
12) Devon purchased tickets to an air show for 7 adults and 2 children. The total cost was $92. The
cost of a child's ticket was $8 less than the cost of an adult's ticket. Find the price of an adult's
ticket and a child's ticket.
A) adult's ticket: $13; child's ticket: $5
B) adult's ticket: $14; child's ticket: $6
C) adult's ticket: $12; child's ticket: $4
D) adult's ticket: $11; child's ticket: $3
Multiply.
13) (y + 6)(y + 7)
A) 2y 2 + 42
C) 2y + 42
A) (-∞, -2)
-4
-3
-2
-1
0
1
-4
-3
-2
-1
0
1
-4
-3
-2
-1
0
1
-4
-3
-2
-1
0
1
B) [-2, ∞)
-5
C) (-∞, -2]
-5
D) (-2, ∞)
-5
12)
13)
B) y 2 + 13y + 42
Solve the inequality. Graph the solution set and write it in interval notation.
14) -2(4x - 7) < -10x + 10
-5
11)
2
D) y 2 + 13y + 13
14)
15) 15x - 35 > 5(2x - 11)
15)
A) [-4, ∞)
-7
-6
-5
-4
-3
-2
-1
-6
-5
-4
-3
-2
-1
-6
-5
-4
-3
-2
-1
-6
-5
-4
-3
-2
-1
B) (-∞, -4]
-7
C) (-∞, -4)
-7
D) (-4, ∞)
-7
Find the domain and the range of the relation.
16) {(7, 3), (7, -7), (7, -5)}
A) domain: {-7, -5, 3} ; range: {7}
C) domain: {3, 7} ; range: {-7, -5}
16)
B) domain: {7} ; range: {-7, -5, 3, 7}
D) domain: {7} ; range: {-7, -5, 3}
Find the domain of the function.
17) g(x) = 2
x - 15
17)
A) (-∞, 15) ∪ (15, ∞)
C) (-∞, ∞)
B) (-∞, 2) ∪ (2, ∞)
D) (-∞, -15) ∪ (-15, ∞)
Evaluate the function.
18) Find f(11) when f(x) = 6x - 11
A) -55
B) 55
18)
C) 56
Solve the system of equations by the substitution method.
19) -5x + y = -26
-6x - 3y = -6
A) (5, -7)
B) (-6, 4)
19)
C) (4, -6)
Solve the system of equations by the addition method.
20) x + 3y = 11
-6x + 2y = -6
A) (1, 4)
B) (2, 3)
21)
D) 77
D) no solution
20)
C) no solution
-2x + 2y = -5
4x - 4y = 10
A) (-2, 2)
C) (0, 0)
D) (-2, 4)
21)
B) no solution
D) infinite number of solutions
3
Multiply.
22) (z - 5)(z2 + 5z - 3)
A) z3 + 22z - 15
22)
B) z3 - 10z2 - 28z + 15
D) z3 - 28z + 15
C) z3 + 10z2 + 28z - 15
23) (6y + x)(6y - x)
A) 12y 2 - x 2
B) 36y 2 + 12xy - x 2
23)
C) 36y 2 - x 2
D) 36y 2 - 12xy - x 2
Find the product and simplify.
5x3y 3 ∙ y 9
24)
-45xy 12
A)
25)
26)
x3
-9y
24)
B)
x2y
-9
C)
x3
-9
D)
x2
-9
8p - 8 ∙ 8p2
p
9p - 9
25)
A)
72p2 + 144p + 72
8p3
B)
9
64p
C)
64p
9
D)
64p3 - 64p2
9p2 - 9p
x2 + 10x + 21 ∙ x2 + 16x + 64
x2 + 15x + 56 x2 + 11x + 24
A)
x+3
x+8
26)
B)
1
x+8
C)
x+8
x+8
D) 1
Find the quotient and simplify.
3x2 ÷ x3
27)
5
15
A)
28)
9x2
x3
27)
B)
9
x
C)
x
9
D)
45x2
5x3
m2 - n2 ÷
m
m +n
2
m - mn
A) (m + n)2
28)
B) (m - n)2
C) (m - n)(m + n)
4
D) (m + n)
29)
(x - 6)(x + 7) ÷ 5x - 30
3x
15x8
A) x8(x + 7)
30)
29)
B)
x7(x + 7)
5
C) x7(x + 7)
p2 - 9p + pq - 9q ÷ p - 9
4p - 4q
6p2 - 6q 2
30)
2
3
B)
C) 1
D)
A)
D) 5x7(x + 7)
5
4(p2 - 9p + pq - 9q)
6(p + q)(p - 9)
(p - 9)2
24(p - q)2
Answer Key
Testname: MATH 46 - PACKET B
1) C
2) D
3) C
4) C
5) D
6) D
7) B
8) D
9) A
10) B
11) B
12) C
13) B
14) A
15) D
16) D
17) A
18) B
19) C
20) B
21) D
22) D
23) C
24) D
25) C
26) D
27) B
28) B
29) C
30) A
6