Algebra for college students 7th edition lial test bank

Choose the one alternative that best completes the statement or answers the question.. Write the word or phrase that best completes each statement or answers the question.. Choose the on

MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question

Decide if the statement is true or false

C)

D)

Decide whether the equation is conditional, an identity, or a contradiction Give the solution set

SHORT ANSWER Write the word or phrase that best completes each statement or answers the question

47) If one step in the solution of an equation is -16 = -22, what is the final solution of the

equation?

47) _

48) True or false? This pair of equations is equivalent and 48) _

49) True or false? The solution set of the equation 7y - 6 = 7y + 3 is {0} Explain 49) _

50) True or false? The solution set of the equation 3(6s - 4) = 18s - 12 is {1} Explain 50) _

MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question

Solve the equation for the specified variable Use the distributive property to factor as necessary

Solve the problem

60) Find the corresponding Celsius temperature for a temperature of 147°F Round to the nearest

64) Find the area of a triangle with height 12 m and base 15 m 64)

74) A chemical solution contains 9% salt How much salt is in 3 ml of solution? Round your answer

to three decimal places, if necessary

74)

75) During one year, the Larsons' real estate bill included $439 for local schools Of this amount, $210

went to the high school district What percent did the Larsons pay to the high school district?

Round your answer to two decimal places

75)

76) A mixture of chlorine and water contains a total of 92 gallons of liquid There are 63 gallons of

pure chlorine in the mixture (i) What percent of the mixture is water? (ii) What percent of the

mixture is chlorine? Round your answer to the nearest percent, if necessary

76)

A) (i) 20% water; (ii) 80% chlorine B) (i) 63% water; (ii) 37% chlorine

C) (i) 32% water; (ii) 68% chlorine D) (i) 68% water; (ii) 32% chlorine

77) The graph shows the percent of students at a local high school who were enrolled in a foreign

language class each school year during the 1980s

78) The graph shows the percent of students at a local high school who were enrolled in a foreign

language class each school year during the 1980s

What is the best estimate for the number of students not taking a language in 1984 if a total of

2840 students were enrolled in the school?

78)

A) 1051 students B) 4544 students C) 1101 students D) 1789 students

79) When a loan scheduled to run n payments is paid off k payments ahead of schedule, the amount

of unearned interest u is given by u = f ∙ , where f is the total scheduled finance charge

The finance charge on a loan taken out by Kathy is $744 If there were 24 equal monthly

installments needed to repay the loan, and the loan is paid in full with 14 months remaining,

find the amount of unearned interest (Round your answer to the nearest cent.)

79)

80) When a loan scheduled to run n payments is paid off k payments ahead of schedule, the amount

of unearned interest u is given by u = f ∙ , where f is the total scheduled finance charge

The finance charge on a loan taken out by Kathy is $540 If there were 48 equal monthly

installments needed to repay the loan, and the loan is paid in full with 8 months remaining, find

the tota

l finance

charge paid (Round your answer

The formula A = gives the approximate annual interest rate for a consumer loan paid

off with monthly payments, where f is the finance charge on the loan, p is the number of

payments, and b is the original amount of the loan Find the approximate annual interest rate for

an automobile loan to be repaid in 36 monthly installments if the finance charge on the loan is

$620 and the original loan balance is (Round your answer to two decimal places, if

necessary.)

81)

82) Students at East Central High School earned $880 selling pennants They want to make $4560 for

a club trip What percent of their goal has been reached? Round to the nearest tenth of a percent,

if necessary

82)

83) Best Office Machines spent $19,040 this year on advertising alone If total sales were $199,600,

what percent of total sales was spent on advertising? Round to the nearest tenth of a percent, if

necessary

83)

84) A printer priced at $374 is sold for $326 What was the percent of price reduction? Round to the

nearest tenth of a percent, if necessary

84)

SHORT ANSWER Write the word or phrase that best completes each statement or answers the question

Provide an appropriate response

85) Suppose the formula A = 2πrh + 2π is solved for r with the following result: r =

Is this an acceptable solution? Explain

85) _

86)

Suppose the formula s = g + t is solved for t with the following result:

Is this an acceptable solution? Explain

SHORT ANSWER Write the word or phrase that best completes each statement or answers the question

89) The volume of a rectangular solid is to be 36 cubic units Give two sets of possible

dimensions for the solid

89) _

MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question

90) In order to purchase gutters for a roof, would you need to use perimeter or area to decide how

much to buy?

90)

91) In order to purchase fabric for a tablecloth, would you need to use perimeter or area to decide

how much to buy?

91)

Translate the verbal phrase into a mathematical expression Use x to represent the unknown number

D) (x = 0)

Use the variable x for the unknown, and write an equation representing the verbal sentence Then solve the problem

28 + x = 24; 16

D)

24 + x = 28; 16

106) When 50% of a number is subtracted from 70, the result is 2 less than the number 106) _ A) 70 - 0.5x = x - 2; 48 B) 0.5x - 70 = x - 2; -136

C)

Expression; x - 1

D) Expression; x - 1

Equation;

D)

Solve the problem

114) Find the length of a rectangular lot with a perimeter of 84 m if the length is 8 m more than the

width

114) _

115) A square plywood platform has a perimeter which is 8 times the length of a side, decreased by 8

Find the length of a side

115) _

116) A rectangular Persian carpet has a perimeter of 168 inches The length of the carpet is 24 in more

than the width What are the dimensions of the carpet?

116) _ A) Width: 54 in.; length: 78 in B) Width: 60 in.; length: 84 in

C) Width: 72 in.; length: 96 in D) Width: 30 in.; length: 54 in

117) A pie-shaped (triangular) lake-front lot has a perimeter of 1400 ft One side is 200 ft longer than

the shortest side, while the third side is 300 ft longer than the shortest side Find the lengths of all

118) Gloria collected 27 fantail and comet goldfish There were 7 fewer fantails than comets How

many comets did Gloria have?

118) _

A) 20 comets B) 12 comets C) 17 comets D) 10 comets

119) The two largest oil spills together released 305 million gallons of oil into the oceans The smaller

of the two released 81 million gallons less than the larger of the two How many million gallons

of oil did the larger one release?

119) _

120) A biologist collected 251 fern and moss samples There were 79 fewer ferns than moss samples

How many fern samples did the biologist collect?

120) _

121) In a recent school board election, the two candidates for president received 2228 votes The loser

received 1088 fewer votes than the winner How many votes did the winner receive?

121) _

A) 1658 votes B) 1373 votes C) 570 votes D) 1140 votes

Solve the percent problem

122) If Gloria received a 10 percent raise and is now making $27,500 a year, what was her salary

before the raise?

122) _

123) Stevie bought a stereo for $290 and put it on sale at his store at a 50% markup rate What was the

retail price of the stereo?

123) _

124) An investor bought 100 shares of stock The value of the shares went up 6% and then he sold

them How much did the investor pay for the 100 shares if he sold them for

124) _

125) At the end of the day, a storekeeper had $1590 in the cash register, counting both the sale of

goods and the sales tax of 6% Find the amount that is the tax

125) _

126) After receiving a discount of 10.5% on its bulk order of typewriter ribbons, John's Office Supply

pays $5012 What was the price of the order before the discount?

126) _

127) After spending $2850 for tables and $3650 for chairs, a convention center manager finds that 20%

of his original budget remains Find the amount that remains Round your answer to the nearest

dollar, if necessary

127) _

128) Midtown Antiques collects 6% sales tax on all sales If total sales including tax are $1261.77, find

the portion that is the tax Round your answer to the nearest cent

128) _

Solve the investment problem

129) Mardi received an inheritance of $60,000 She invested part at 11% and deposited the remainder

in tax-free bonds at 7% Her total annual income from the investments was $5400 Find the

amount invested at 11%

129) _

130) Walt made an extra $5000 last year from a part-time job He invested part of the money at 7%

and the rest at 6% He made a total of $310 in interest How much was invested at 6%?

130) _

131) Roberto invested some money at 6%, and then invested $4000 more than twice this amount at

10% His total annual income from the two investments was $3520 How much was invested at

10%?

131) _

Solve the mixture problem

132) It is necessary to have a 40% antifreeze solution in the radiator of a certain car The radiator now

has 70 liters of 20% solution How many liters of this should be drained and replaced with 100%

antifreeze to get the desired strength?

132) _

A) 28 liters B) 17.5 liters C) 35 liters D) 23.3 liters

134) In a chemistry class, 3 liters of a 4% silver iodide solution must be mixed with a 10% solution to

get a 6% solution How many liters of the 10% solution are needed?

134) _

A) 0.5 liters B) 2.5 liters C) 3 liters D) 1.5 liters

135) A merchant has coffee worth $4 a pound that she wishes to mix with 60 pounds of coffee worth

$9 a pound to get a mixture worth $5 a pound How many pounds of the $4 coffee should be

used?

135) _

Solve the problem

136) Jay drove 308 kilometers at the average rate of 77 kilometers per hour How long did the trip

139) An equilateral triangle has perimeter 57 inches What would be the perimeter of a square whose

sides each measure the same length as the side of the triangle?

139) _

A) 19 inches B) 76 inches C) 38 inches D) 361 inches

140) A convention manager finds that she has $1320, made up of twenties and fifties She has a total

of 39 bills How many fifty-dollar bills does the manager have?

140) _

141) A woman has $1.70 in dimes and nickels She has 5 more dimes than nickels How many nickels

does she have?

141) _

142) A bank teller has some five-dollar bills and some twenty-dollar bills The teller has 5 more of the

twenties The total value of the money is $775 Find the number of five-dollar bills that the teller

has

142) _

143) A cashier has a total of 123 bills, made up of fives and tens The total value of the money is $915

How many ten-dollar bills does the cashier have?

143) _

144) There were 560 people at a play The admission price was $2.00 for adults and $1.00 for children

The admission receipts were $830 How many adults and children attended?

144) _

A) 145 adults and 415 children B) 207 adults and 353 children

C) 270 adults and 290 children D) 290 adults and 270 children

145) There were 40,000 people at a ball game in Los Angeles The day's receipts were $298,000 How

many people paid $12.00 for reserved seats and how many paid $5.00 for general admission?

145) _ A) 15,500 paid $12 and 24,500 paid $5 B) 24,500 paid $12 and 15,500 paid $5

C) 14,000 paid $12 and 26,000 paid $5 D) 26,000 paid $12 and 14,000 paid $5

146) Jill is 20 kilometers away from Joe Both begin to walk toward each other at the same time Jill

walks at 2 kilometers per hour They meet in 4 hours How fast is Joe walking?

146) _

A) 2 kilometers per hour B) 4 kilometers per hour

C) 3 kilometers per hour D) 5 kilometers per hour

147) Bert is 30 kilometers away from Brenda Both begin to walk toward each other at the same time

Bert walks at 4.5 kilometers per hour They meet in 5 hours How fast is Brenda walking?

147) _

A) 4.5 kilometers per hour B) 1.5 kilometers per hour

C) 3.5 kilometers per hour D) 2.5 kilometers per hour

148) Candy and Delvis are riding bicycles in the same direction Candy is traveling at a speed of 4

miles per hour, and Delvis is traveling at a speed of 6 miles per hour In 4 hours what is the

distance between them (assuming that they began at the same point and time)?

148) _

149) From a point on a river, two boats are driven in opposite directions, one at 8 miles per hour and

the other at 5 miles per hour In how many hours will they be 39 miles apart?

149) _

150) The speed of a stream is 5 mph If a boat travels 54 miles downstream in the same time that it

takes to travel 27 miles upstream, what is the speed of the boat in still water?

150) _

151) A plane flies 440 miles with the wind and 340 miles against the wind in the same length of time

If the speed of the wind is 20 mph, what is the speed of the plane in still air?

151) _

152) Tom Quig traveled 260 miles east of St Louis For most of the trip he averaged 60 mph, but for

one period of time he was slowed to 20 mph due to a major accident If the total time of travel

was 7 hours, how many miles did he drive at the reduced speed?

Solve the problem involving consecutive integers

161) The sum of three consecutive even integers is 198 Find the integers 161) _

163) Two pages that face each other in a book have 385 as the sum of their page numbers What is the

number of the page that comes first?

163) _

164) If three times the smaller of two consecutive integers is added to four times the larger, the result

is 137 Find the smaller integer

164) _

165) If the first and third of three consecutive odd integers are added, the result is 87 less than five

times the second integer Find the third integer

SHORT ANSWER Write the word or phrase that best completes each statement or answers the question

Provide an appropriate response

167) When solving a "word problem" we set up an equation in x Give an example where the

solution of the equation is not the answer to the problem

MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question

169) Which two of the following equations do not correctly state the relationship between distance,

rate and time?

SHORT ANSWER Write the word or phrase that best completes each statement or answers the question

170) One student solved a problem involving money by using a denomination based on cents

and not on dollars For example, she multiplied the number of nickels by 5 cents and not

by $0.05 Was she wrong?

170)

171) If you are given the measure of one angle of a triangle, would you be able to provide the

measures of the two other angles?

171)

172) Suppose you were to solve a problem involving motion, and the problem gave the rate

in miles per hour and the time in minutes Would you be able to determine the distance

traveled? If so, how would you go about it?

172)

MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question

Write an inequality statement involving the letter x that describes the given graph or interval notation

C) (-4, ∞)

D) [-4, ∞)

181) -2 a + 5 > -3 a + 8

181) _

A) (3, ∞)

B) (13, ∞)

C) (-∞, 13)

D) (-∞, 3)

C) (-3, ∞)

D) (-∞, -3)

C) (-∞, -6)

D) [8, ∞)

184) 18 x + 48 > 6(2 x + 11)

184)

_

A) (3, ∞)

B) (-∞, 18)

C) (-∞, 3)

D) (18, ∞)

C) (6, ∞)

D) (-28, ∞)

C)

D)

C)

D)

-

D) ∅

189) 7x + 3(x - 6) > 10x - 6 189) _ A) (-∞, 0)

B) (0, ∞)

C) (-∞, ∞)

D) ∅

D) (0, 4]

D) [0, 4)

D) [3, 7)

D) (2, 6)

D) (2, 6]

Solve the problem

197) A salesperson has two job offers Company A offers a weekly salary of $90 plus commission of

6% of sales Company B offers a weekly salary of $180 plus commission of 3% of sales What is

the amount of sales above which Company A's offer is the better of the two?

197) _

198) Company A rents copiers for a monthly charge of $120 plus 6 cents per copy Company B rents

copiers for a monthly charge of $240 plus 3 cents per copy What is the number of copies above

whic

h Company

199) A car rental company has two rental rates Rate 1 is per day plus per mile Rate 2 is

per day plus per mile If you plan to rent for one day, how many miles would you

need to drive to pay less by taking Rate 2?

199) _

200) Jim has gotten scores of 95 and 84 on his first two tests What score must he get on his third test

to keep an average of 80 or greater?

200) _

A) At least 86.3 B) At least 60 C) At least 61 D) At least 89.5

201) A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 9

marbles in it At least how many green marbles does it have?

201) _

A) At least 6 green marbles B) At least 5 green marbles

C) At least 3 green marbles D) At least 4 green marbles

202) Jon has 635 points in his math class He must have 62% of the 1200 points possible by the end of

the term to receive credit for the class What is the minimum number of additional points he

must earn by the end of the term to receive credit for the class?

202) _

A) 109 points B) 565 points C) 394 points D) 744 points

203) Correct Computers, Inc finds that the cost to make x laptop computers is

while the revenue produced from them is (C and R are in dollars) What is the

smallest whole number of computers, x, that must be sold for the company to show a profit?

203) _

204) Fantastic Flags, Inc finds that the cost to make x flags is while the revenue

produced from them is (C and R are in dollars) What is the smallest whole number of

flags, x, that must be sold for the company to show a profit?

204) _

205) Behemoth Back Packs, Inc finds that the cost to make x back packs is while the

revenue produced from them is (C and R are in dollars) What is the smallest whole

number of back packs, x, that must be sold for the company to show a profit?

205) _

206) Pizzicato Pizza, Inc finds that the cost to make x pizzas (with one topping) is

while the revenue produced from them is (C and R are in dollars) What is the smallest whole number of pizzas, x, that must be sold for the company to show a profit?

206) _

207) Miraculous Music, Inc finds that the cost to make x compact discs is while the

revenue produced from them is (C and R are in dollars) What is the smallest whole

number of compact discs, x, that must be sold for the company to show a profit?

207) _

Answer the question or solve the problem

SHORT ANSWER Write the word or phrase that best completes each statement or answers the question

210) Under what conditions must the inequality symbol be reversed when solving an

212) The three-part inequality a < x ≤ b means "a is less than x and x is less than or equal to

b" Which of these inequalities is not satisfied by any real number x?

MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question

Let A = {q, s, u, v, w, x, y, z}, B = {q, s, y, z}, and Specify the following set

C)

C)

C)

C)

For the compound inequality, give the solution set in both interval and graph forms

D) (-∞, 2]

C) (3, 7]

D) [3, 7]

C) [-3, 1]

D) (-3, 1]

C) (-2, 2)

D) (-2, 2]

C) (-∞, -1] ∪ [2, ∞)