Link full download test bank for intermediate algebra 7th edition by tobey

99 City A experienced 18 armed robberies less than twice that of City B.. Three different companies offer a different number of free minutes of phone calls per month.. City Com offers 28

Test Bank for Intermediate Algebra 7th Edition by Tobey

Chapter 2 Linear Equations and Inequalities

56) 4(9ax + y) = 7ax - 2y for x 56) A)

Follow the given instructions

57)

(b) Evaluate when V = 121 and b = 11

57)

A)

(b) 3 58)

(a) Solve for a: S =

58)

(b) Evaluate when S = 4 and r =

A) (a) a = S(1 - r) (b) 2

C) (a) a = (b)

B) (a) a = (b) 8 D) (a) a = S + (1 - r) (b)

Solve

59)

The formula for the perimeter of a rectangle is P = 2L + 2W Solve the formula for L Use this

formula to find the length of the rectangle if the perimeter, P, is 30 feet and the width, W, is 6

feet

60)

The formula for the volume of a cone is V = Bh Solve the formula for B Use this formula to

find the area of the base of the cone if the volume, V, is 14 cubic centimeters and the height, h, is

2 centimeters

61)

The formula for the area of a trapezoid is A = (b+B)h Solve the formula for h Use this

formula to find the height of the trapezoid if the area, A, is 101.5 square meters, and the bases, b

and B, are 11 meters and 18 meters

A)

62)

The average price (in dollars) to rent a studio in a certain city can be approximated by the

use the new equation to determine approximately what year it will be when the average price

of a studio in this city reaches $1310.00

63)

Suppose economists use as a model of a country's economy the equation

C = 0.6791D + 6.1083 where C represents the consumption of products in billions of dollars and D represents

disposable income in billions of dollars Solve the equation for D and use the result to

determine the disposable income D if the consumption C is $9.88 billion Round your answer to

the nearest tenth of a billion

Write an algebraic equation and use it to solve the problem

92) A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute

for all calls If Joe's phone bill was $72 under this promotional deal, how many minutes of phone

calls did he make? Round to the nearest integer, if necessary

93) Manuel can pay for his car insurance on a monthly basis, but if he pays an entire year's insurance

in advance, he'll receive a $40 discount His discounted bill for the year would then be $632

What is the monthly fee for his insurance?

94) A poster in the shape of a triangle has one side that is five inches more the length of the shortest

side, and another side that is three inches less than twice the shortest side Find the dimensions

of the poster if its perimeter is 46 inches

92)

93)

94) , -

C) 11 inches, 16 inches, 19 inches D) 12 inches, 16 inches, 19 inches 95) The length of a rectangular room is 9 feet longer than twice the width If the room's perimeter is

174 feet, what are the room's dimensions?

97) The revenue of Company X quadruples Then it increases by $1.6 million to its present revenue

of $23.6 What was the original revenue?

A) The original revenue of Company X was $22 million

B) The original revenue of Company X was $5.5 million

C) The original revenue of Company X was $4.3 million

D) The original revenue of Company X was $6.3 million

98) Sergio's internet provider charges its customers $11 per month plus 3¢ per minute of on-line

total of $68.50 How many minutes did he spend on-line during that period? (Round to the

nearest whole minute, if necessary.)

99) City A experienced 18 armed robberies less than twice that of City B In the two cities

combined, 252 armed robberies occurred How many armed robberies occurred in City A and

in City B?

A) City A: 72 armed robberies; City B: 180 armed robberies B) City A: 117 armed robberies; City B: 135 armed robberies C) City A: 138 armed robberies; City B: 78 armed robberies D) City A: 162 armed robberies; City B: 90 armed robberies 100) The Four Flying Feldmans acrobat troupe is planning a nationwide tour They will give 4

performances per week in various cities across the U.S The venues in which they will perform

hold about 6000 people each, and concert tickets will sell for $25 each The advance expenses for

each performance are $22,000, and the additional travel, lodging, meal, and miscellaneous costs

are $36,000 per week How many weeks will the Four Flying Feldmans need to be on tour if each

of them wants to earn $3,808,000 from the tour?

101) During a road trip, Tonya drove one-third the distance that Lana drove Mark drove 9 miles

more than Lana The total distance they drove on the trip was 380 miles How many miles did

each person drive?

A) Tonya drove 477 miles, Lana drove 159 miles, and Mark drove 150 miles

B) Tonya drove 50 miles, Lana drove 150 miles, and Mark drove 159 miles

C) Tonya drove 53 miles, Lana drove 159 miles, and Mark drove 168 miles

D) Tonya drove 159 miles, Lana drove 477 miles, and Mark drove 486 miles

102) A hot air balloon spent several minutes ascending It then stayed at a level altitude for four times

as long as it had ascended It took 5 minutes less to descend than it did to ascend The entire trip

took one hour and 37 minutes For how long was the balloon at a level altitude?

B) Washington Center: 360 feet Lincoln Galleria: 180 feet Jefferson Square Tower: 1260 feet D) Washington Center: 720 feet Lincoln Galleria: 360 feet Jefferson Square Tower: 720 feet 104) Amy is choosing a cell phone plan Three different companies offer a different number of free

minutes of phone calls per month City Com offers 280 less than twice the number of free

minutes offered by Talk for Less Phone Renee's Cell Phone offers 80 more free minutes per

month than Talk for Less Phone The sum of the free minutes offered by City Com and Talk for

Less Phone is equal to twice the number of free minutes offered by Renee's Cell Phone How

many free minutes does each company offer?

104)

minutes Talk for Less Phone: 460 minutes Renee's Cell Phone: 540 minutes

minutes Talk for Less Phone: 450 minutes Renee's Cell Phone: 530 minutes

minutes Talk for Less Phone: 440 minutes Renee's Cell Phone: 520 minutes

minutes Talk for Less Phone: 420 minutes Renee's Cell Phone: 500 minutes

Write an algebraic equation and use it to solve the problem

105) The population of a town is currently 48,000 This represents an increase of 30% from the

population 5 years ago Find the population of the town 5 years ago Round to the nearest whole

number if necessary

106) After a 16% price reduction, a boat sold for $25,200 What was the boat's price before the

reduction? (Round to the nearest cent, if necessary.)

105)

106)

107) Inclusive of a 7.8% sales tax, a diamond ring sold for $1832.60 Find the price of the ring before

the tax was added (Round to the nearest cent, if necessary.)

108) Holly bought a sweater on sale for 20% off the original price If she saved $6, what was the

original price?

109) When Milo got promoted at work, he received a 5% pay raise He now earns $46,200 per year

What was his annual salary before his raise?

110) Ming got a 4% raise in her salary from last year This year she is earning $33,280 How much did

she make last year?

111) Employment statistics show that 23,520 of the residents of Bear Valley were unemployed last

month This was a decrease of 16% from the previous month How many residents were

unemployed in the previous month?

112) Suppose that 9% of the teachers at a university attended a conference If 450 teachers attended

the conference, how many teachers are at the university?

Write an algebraic equation for the problem and solve it

113) City A experienced 27 armed robberies less than twice that of City B In the two cities

combined, 165 armed robberies occurred How many armed robberies occurred in City A and

in City B?

A) City A: 65 armed robberies; City B: 46 armed robberies B) City A: 101 armed robberies; City B: 64 armed robberies C) City A: 37 armed robberies; City B: 128 armed robberies D) City A: 69 armed robberies; City B: 96 armed robberies 114) The manager of a pet store received a shipment of birdseed in 15-pound bags She divided each

bag into smaller bags of unequal weight, which she labelled small and large The store sold 27 small bags of seed and 17 large bags of seed in one month If a total of 285 pounds

of seed were sold that month, how many pounds were in one small bag? In one large bag?

A) One small bag contained 2 pounds of seed

One large bag contained 13 pounds of seed

B) One small bag contained 5 pounds of seed

One large bag contained 13 pounds of seed

C) One small bag contained 4 pounds of seed

One large bag contained 15 pounds of seed

D) One small bag contained 3 pounds of seed

One large bag contained 12 pounds of seed

Write an algebraic equation and use it to solve the problem

115) This year, two Girl Scout Troops together sold 474 boxes of cookies Half of the Rockridge

troop's sales were Thin Mints and of the Bayshore troop's sales were Thin Mints Together

they sold 162 boxes of Thin Mints How many boxes of cookies did each troop sell?

B) Rockridge: 81 boxes Bayshore: 32 boxes

C) Rockridge: 229 boxes Bayshore: 245 boxes

D) Rockridge: 224 boxes Bayshore: 250 boxes 116) When Sam and Tyler first started working as software engineers, their weekly salaries totaled

$1460 Now ten years later Sam is a senior engineer and Tyler is a manager Sam's salary has

doubled Tyler's salary is 3 times as large Together their weekly salaries now total $3580 How

much did they each make ten years ago?

116)

A) Sam earned $800 ten years ago Tyler earned $660 ten years ago C) Sam earned $780 ten years ago Tyler earned $680 ten years ago

B) Sam earned $1790 ten years ago Tyler earned $1193 ten years ago D) Sam earned $730 ten years ago Tyler earned $487 ten years ago 117) Nancy invested $1100 at a simple interest rate of 8% for 6 years How much interest did she

should be invested in each to realize exactly $4650 in interest per year?

A) $34,000 in B-rated bonds and $16,000 in a CD B) $17,000 in B-rated bonds and $33,000 in a CD C) $33,000 in B-rated bonds and $17,000 in a CD D) $16,000 in B-rated bonds and $34,000 in a CD

year If the interest received was $5910, how much was loaned at

121) A loan officer at a bank has $92,000 to lend and is required to obtain an average return of

rate and still meet his required return?

122) A college student earned $7000 during summer vacation working as a waiter in a popular

received a total of $548 in interest at the end of the year, how much was invested at

123) The owners of a candy store want to sell, for $6 per pound, a mixture of chocolate-covered

raisins, which usually sells for $3 per pound, and chocolate-covered macadamia nuts, which

of the nuts should they mix with the barrel of raisins so that they hit their target value of $6 per

pound for the mixture?

124) A chemist needs 9 liters of a 50% salt solution All she has available is a 20% salt solution and a

70% salt solution How much of each of the two solutions should she mix to obtain her desired

solution?

A) 3.6 liters of the 20% solution; 5.4 liters of the 70% solution B) 4.5 liters of the 20% solution; 4.5 liters of the 70% solution C) 1.8 liters of the 20% solution; 7.2 liters of the 70% solution

D) 2.7 liters of the 20% solution; 6.3 liters of the 70% solution 125) The manager of a coffee shop has one type of coffee that sells for $6 per pound and another type

that sells for $10 per pound The manager wishes to mix 90 pounds of the $10 coffee to get a

mixture that will sell for $7 per pound How many pounds of the $6 coffee should be used?

125)

126) A beverage wholesaler wants to create a new punch He will mix fruit juice worth $2 a gallon

and rum worth $7 a gallon He wants to obtain 125 gallons worth of punch worth $4 a gallon

126) How much of each beverage should he use?

A) He should mix 87.5 gallons of juice with 37.5 gallons of rum

B) He should mix 100 gallons of juice with 25 gallons of rum

C) He should mix 112.5 gallons of juice with 12.5 gallons of rum

D) He should mix 75 gallons of juice with 50 gallons of rum

127) A chef has one cheese that contains 5% fat and one cheese that contains 55% fat How many

pounds of each cheese should she use in order to obtain 7 pounds of a cheese mixture that is 35%

129) A chemist needs 170 milliliters of a 31% solution but has only 1% and 52% solutions available

Find how many milliliters of each that should be mixed to get the desired solution

131) Carla and Patrick rode stationary bikes for the same amount of time Carla rode at 6 miles per

hour, and Patrick rode at 4.5 miles per hour If Carla rode 0.75 miles farther than Patrick, how

long did they use the bikes?

132) A freight train leaves a station traveling at 32 km/h Two hours later, a passenger train leaves

the same station traveling in the same direction at 52 km/h How long does it takes the

passenger train to catch up to the freight train?

133) Five friends drove at an average rate of 60 miles per hour to a weekend retreat On the way

home, they took the same route but averaged 65 miles per hour What was the distance between

home and the retreat if the round trip took 10 hours?

miles

134) Gary can hike on level ground 3 miles an hour faster than he can on uphill terrain Yesterday, he

hiked 32 miles, spending 2 hours on level ground and 5 hours on uphill terrain Find his average

speed on level ground

If the total time of travel was 7 hours, how many miles did they drive at the reduced

134)

135)

speed?

Insert the symbol < or > between the pair of numbers

146)

A) B) C) D)

A) B) C) D)

A) B) C) D)

A) B) C) D)

150) x > 12

decimal places if necessary)

-Describe the situation with a linear inequality and then solve the inequality

176) A certain car has a weight limit for all passengers and cargo of 1219 pounds The four passengers

in the car weigh an average of 165 pounds Use an inequality to find the weight of the cargo that

the car can handle

177) A certain store has a fax machine available for use by its customers The store charges $2.25 to

send the first page and $0.70 for each subsequent page Use an inequality to find the number of

pages that can be faxed for $9.95

178) An archery set containing a bow and three arrows costs $43 Additional arrows can be

purchased for $8 each Jerry has $99 to spend on the set and additional arrows Including the

arrows in the set, what is the total number of arrows Jerry can purchase?

179) When making a long distance call from a certain pay phone, the first three minutes of a call cost

$2.30 After that, each additional minute or portion of a minute of that call costs $0.50 Use an

inequality to find the number of minutes one can call long distance for $4.80

180) It takes 15 minutes to set up a candy making machine Once the machine is set up, it produces 20

candies per minute Use an inequality to find the number of candies that can be produced in 3

hours if the machine has not yet been set up

company charges $15 per month plus 11¢ per minute of phone calls How many minutes of

phone calls should be made each month to make XYZ phone company a better deal?

182) David has $17,000 to invest He invests $12,000 in a mutual fund that pays 12% annual simple

interest If he wants to make at least $2200 in yearly interest, at what minimum rate does the

remainder of the money need to be invested?

183) Lauren earns $4 an hour selling encyclopedias door-to-door She also earns $27 in commission

per set of encyclopedias sold To pay her rent this week, she must earn at least $214, and she

only has time to work 13 hours How many sets of encyclopedias must Lauren sell this week in

order to make her rent?

A) She would have to sell at least 5 sets of encyclopedias

B) She would have to sell at least 8 sets of encyclopedias

C) She would have to sell at least 7 sets of encyclopedias

D) She would have to sell at least 6 sets of encyclopedias

184) Every Sunday, Jarod buys a loaf of fresh bread for his family from the corner bakery for $2.00

The local department store has a sale on breadmakers for $61 If the bread-making supplies cost

$0.93 per week, for how many weeks would Jarod have to bake a loaf of bread at home before

the breadmaker becomes more cost effective?

Describe the situation with a linear inequality and then solve the inequality

for which purchasing the monthly pass is more economical than purchasing the standard train

ticket