Mathematics with Applications In the Management, Natural, and Social
Sciences, 13e Margaret, Thomas, John, Bernadette (Test Bank All Chapters,
100% Original Verified, A+ Grade) Answers At The End Of Each Chapter
Chapter 1
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question.
Provide an appropriate response.
1) Simplify the expressions (2x)0 and (2x0 ) and explain how you arrived at your answers. 1)
2) For what values, if any, of x (x 0) and n will x-n be a negative number? 2)
3) What steps would you take to factor x2 + 17x + 70 ? 3)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
question.
Simplify the expression. Write answer with positive exponents. Variables are positive real numbers.
4) z-2/7 z3/7 4)
A) z 7/6 B) z 1/7 C) z 6/7 D) z -1/7
Solve the equation.
5) 5(y + 7) = 6(y - 4) 5)
A) -11 B) 11 C) -59 D) 59
Solve the problem.
6) How many liters of a 20% alcohol solution must be mixed with 70 liters of a 50% solution to get a 6)
30% solution?
A) 210 liters B) 21 liters C) 140 liters D) 14 liters
Use factoring to solve the equation.
7) x2 + 3x - 70 = 0 7)
A) -10, 1 B) 10, 7 C) 10, -7 D) -10, 7
Write the expression in lowest terms.
y2 + 4y - 21
8) 8)
y2 + 2y - 35
2
A) 4y - 21 B) 4y - 3 C) y - 3 D) - y + 4y - 21
2y - 35 2y - 5 y- 5 y2 + 2y - 35
1
,Use inequality symbols to rewrite the statement. Let x represent the unknown.
9) Computer company XYZ can't possibly spend less than $42 million in advertising to regain its 9)
market share.
A) x > $42 million B) x $42 million
C) x < $42 million D) x $42 million
Solve the equation for the indicated variable.
10) E = mc2 for c 10)
E E
A) c = Em B) c= C) c = ± Em D) c = ±
m m
Solve the problem.
L
11) The time T in seconds for a pendulum of length L feet to make one swing is given by T = 2 . 11)
44
How long is a pendulum (to nearest hundredth) if it makes one swing in 1.3 seconds? Use 3.14 for
.
A) 11.84 ft B) 18.59 ft C) 1.89 ft D) 74.36 ft
Factor completely.
12) 16y2 + 24y + 9 12)
A) Prime B) (16y + 3)(y + 3) C) (4y + 3)(4y + 3) D) (4y - 3)(4y - 3)
Name the property illustrated.
13) 8 + (6 + 9) = (8 + 6) + 9 13)
A) Associative property B) Distributive property
C) Identity property D) Commutative property
Find approximate solutions of the equation.
14) 6x2 - 5x = 1 14)
A) 2 or -0.34 B) 0.17 or -1 C) 1 or -0.17 D) 0.5 or 0.33
Solve the problem.
15) The polynomial 0.0039x4 + 0.0035x3 + 0.0035x2 + 0.14x + 1.13 gives the predicted sales volume of a 15)
company, in millions of items, where x is the number of years from now. Determine the predicted
sales 20 years from now.
A) 583.99 million B) 653.2 million C) 657.33 million D) 853.83 million
Name the property illustrated.
16) 8 + 3 = 3 + 8 16)
A) Identity property B) Distributive property
C) Associative property D) Commutative property
Determine whether the statement is true or false.
17) Every integer is an irrational number. 17)
A) True B) False
2
,Provide an appropriate response.
18) A binomial is a polynomial. 18)
A) Sometimes B) Never C) Always
Factor completely.
19) x2 + 40x + 400 19)
A) (x + 20)(x - 20) B) (x + 20)2 C) (x - 20)2 D) Prime
Solve the problem.
20) A square plywood platform has a perimeter which is 9 times the length of a side decreased by 20. 20)
Find the length of a side.
A) 9 B) 4 C) 5 D) 1
Add or subtract as indicated.
21) (8n 5 + 9n 3 - 2n) + (5n5 - 4n3 + 7n) 21)
A) 13n 5 + 5n 3 + 5n B) 3n 5 + 4n 3 + 16n
C) 23n 9 D) 13n + 5n 5 + 5n 3
Write the expression in lowest terms.
22) 3k - 15 22)
30 - 6k
A) 1 B) - 1 C) 1 D) -1
2 2
Write the rational exponent expression as an equivalent radical expression.
23) (7x)-1/7 23)
7 1 1
A) -7 B) 7 x C) D)
7 7 7
x 7x -7x
Solve the problem.
24) The two charts show the weight gain of some people and the weight loss of other people. Use the 24)
information given to answer the questions below.
How much more weight did Ed lose than Frank?
A) -3,034 grams B) 1,320 grams C) 3,034 grams D) -1,320 grams
25) At the end of the day, a storekeeper had $1,605 in the cash register, counting both the sale of goods 25)
and the sales tax of 7%. Find the amount of the tax.
A) $95 B) $110 C) $100 D) $105
3
, Simplify the expression. Write answer with positive exponents.
5 -1
26) 26)
59
A) 1 B) 58 C) 1 D) 510
5 10 58
Solve the equation.
27) 12(8c - 3) = 7c - 2 27)
A) - 34 B) 34 C) 34 D) 38
89 103 89 89
Find expressions for the Revenue, Cost, and Profit from selling x thousand items.
28) Item Price Fixed Cost Variable Cost 28)
$3.00 $131,282 -3x2 + 3480x - 100
A) R = 3,000x; C = -3x2 + 3480x + 131,282; P = 3x2 - 3,180x - 131,182
B) R = 3,000x; C = 3x2 + 3480x + 131,182; P = -3x2 - 3,180x - 131,182
C) R = 3,000x; C = -3x2 + 3480x + 131,182; P = 3x2 - 3,180x - 131,182
D) R = 3,000x; C = -3x2 + 3480x + 131,182; P = 3x2 - 3,180x - 131,282
Use factoring to solve the equation.
29) 16k2 - 81 = 0 29)
4 4 4 9 9
A) 9, 0 B) ,0 C) ,- D) ,-
9 9 9 4 4
Factor completely.
30) 15z 2 + 14z - 8 30)
A) Prime B) (3z - 4)(5z + 2) C) (3z + 4)(5z - 2) D) (15z + 4)(z - 2)
Simplify. Leave answer with exponent.
31) (2y)4 · (2y)8 31)
A) 4y32 B) (2y)12 C) 2y32 D) 4y12
Solve the problem.
32) A picture is to be mounted on a piece of matte board 10 inches by 16 inches so that there is an even 32)
amount of matting all around the picture. How wide will the border be if the area of the mounted
picture is 120 square inches?
A) 3 in. B) 4 in. C) 4.5 in. D) 2 in.
Solve the equation.
33) 3s + 7 = s + 5 33)
A) - 1 B) - 1, - 3 C) No solution D) 1, 3
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