Algebra a combined approach 4th edition elayn martin gay test bank

If one angle of a triangle measures x° and a second angle measures , express the measure of the third angle in terms of x.. If one angle measures x°, a second angle measures 4x°, and a t

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

Solve the equation

D)

D)

28) -8.3 + 4x - 6.2 + 5x - 2.9 = 5.3 + 10x + 1.9 28)

Write the algebraic expression described

29) Two numbers have a sum of 27 If one number is q, express the other number in terms of q 29)

30) A 28-centimeter piece of rope is cut into two pieces If one piece is z centimeters long, express the

other length as an algebraic expression in z

30)

A) (z + 28) cm B) (z - 28) cm C) (28 - z) cm D) (28 - 2z) cm

31) In the race for Student Body President, Jose received 421 more votes than Angela If Angela

received x votes, how many votes did Jose receive?

31)

A) (x - 421) votes B) (421x) votes C) (421 - x) votes D) (x + 421)

votes

32) During a walk-a-thon, Rosilyn walked 6 fewer laps than June walked If June walked b laps, how

many laps did Rosilyn walk?

33) The sum of the angles of a triangle is 180° If one angle of a triangle measures x° and a second

angle measures , express the measure of the third angle in terms of x

33)

A) (157 - 4x)° B) (157 - 3x)° C) (203 - 4x)° D) (157 + 4x)°

34) A quadrilateral is a four-sided figure whose angle sum is 360° If one angle measures x°, a

second angle measures 4x°, and a third angle measures 9x°, express the measure of the fourth

D)

-

Write the algebraic expression described

56) If x represents the first of three consecutive even integers, express the sum of the three integers

in terms of x

56)

57) If x represents the first of four consecutive odd integers, express the sum of the first integer and

the fourth integer in terms of x

57)

58) If x is the first of three consecutive integers, express the sum of 21 and the third integer as an

algebraic expression in terms of x

D)

-

A)

B)

C)

D)

A)

B)

C)

D)

-

A)

B)

C)

-

D)

D)

C)

D)

Write the algebraic expression described Simplify if possible

76) Two numbers have a sum of 23 If one number is q, express the other number in terms of q 76)

77) A 53-centimeter piece of rope is cut into two pieces If one piece is z centimeters long, express the

other length as an algebraic expression in z

77)

A) (z - 53) cm B) (53 - 2z) cm C) (53 - z) cm D) (z + 53) cm

78) In the race for Student Body President, Jose received 213 more votes than Angela If Angela

received x votes, how many votes did Jose receive?

Solve the equation

Write the following as an equation, using x for the unknown number Then solve

87) Four times a number added to 8 times the number equals 60 Find the number 87) A) 4(x + 8) = 60x; 0.6 B) 4x(8 + x) = 60; 7.5

91) The sum of four times a number and 1 is equal to the difference of twice the number and 3 Find

92) The sum of four times a number and three is the same as the difference of twice the number and

eleven Find the number

D)

94) If the sum of a number and two is doubled, the result is six less than three times the number

Find the number

95) Four times the difference of a number and one is equal to six times the sum of the number and

three Find the number

101) Twice the sum of a number and -46 gives -6 Find the number 101) _

Solve the problem

103) The president of a certain university makes three times as much money as one of the department

heads If the total of their salaries is $180,000, find each worker's salary

103) _

A) president's salary = $90,000; department head's salary = $45,000

B) president's salary = $45,000; department head's salary = $135,000

C) president's salary = $13,500; department head's salary = $4500

D) president's salary = $135,000; department head's salary = $45,000

104) 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 $66 under this promotional deal, how many minutes of phone

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

104) _

105) Two angles are complementary if their sum is 90° If the measure of the first angle is x°, and the

measure of the second angle is (3x - 2)°, find the measure of each angle

105) _

A) 1st angle = 31°; 2nd angle = 59° B) 1st angle = 22°; 2nd angle = 64°

C) 1st angle = 22°; 2nd angle = 68° D) 1st angle = 23°; 2nd angle = 67°

106) A car rental agency advertised renting a luxury, full-size car for $39.95 per day and $0.39 per

mile If you rent this car for 2 days, how many whole miles can you drive if you only have $200

to spend

106) _

107) A 10-ft board is cut into 2 pieces so that one piece is 2 feet longer than 3 times the shorter piece

If the shorter piece is x feet long, find the lengths of both pieces

107) _

A) shorter piece: 6 ft; longer piece: 32 ft B) shorter piece: 28 ft; longer piece: 30 ft

C) shorter piece: 2 ft; longer piece: 8 ft D) shorter piece: 5 ft; longer piece: 30 ft

108) In a recent International Gymnastics competition, the U.S., China, and Romania were the big

winners If the total number of medals won by each team are three consecutive integers whose

sum is 57 and the U.S won more than China who won more than Romania, how many medals

did each team win?

108) _

A) U.S.: 21 medals; China: 20 medals; Romania: 19 medals

B) U.S.: 59 medals; China: 58 medals; Romania: 57 medals

C) U.S.: 20 medals; China: 19 medals; Romania: 18 medals

D) U.S.: 18 medals; China: 17 medals; Romania: 16 medals

109) Mary and her brother John collect foreign coins Mary has th re e ti mes the number of coins

that John has Together they have 140 foreign coins Find how many coins Mary has

109) _

A) 35 coins B) 105 coins C) 98 coins D) 21 coins

110) Center City East Parking Garage has a capacity of 257 cars more than Center City West Parking

Garage If the combined capacity for the two garages is 1227 cars, find the capacity for each

garage

110) _

A) Center City East: 485 cars

Center City West: 742 cars

B) Center City East: 475 cars Center City West: 752 cars

C) Center City East: 742 cars

Center City West: 485 cars

D) Center City East: 752 cars Center City West: 475 cars

111) During an intramural basketball game, Team A scored 19 fewer points than Team B Together,

both teams scored a total of 14 7 points How many points did Team A score during the game?

111) _

A) 73 points B) 8 3 points C) 64 points D) 6 5 points

Solve

112) In a recent International Gymnastics competition, the U.S., China, and Romania were the big

winners If the total number of medals won by each team are three consecutive integers whose

sum is 96 and the U.S won more than China who won more than Romania, how many medals

did each team win?

112) _

A) U.S.: 33 medals; China: 32 medals; Romania: 31 medals

B) U.S.: 31 medals; China: 30 medals; Romania: 29 medals

C) U.S.: 98 medals; China: 97 medals; Romania: 96 medals

D) U.S.: 34 medals; China: 33 medals; Romania: 32 medals

A) 186, 187, 188 B) 186, 188, 190 C) 187, 188, 189 D) 188, 189, 190

114) The house numbers of two adjacent homes are two consecutive even numbers If their sum is

338, find the house numbers

116) You have taken up gardening for relaxation and have decided to fence in your new rectangular

shaped masterpiece The length of the garden is 8 meters and 54 meters of fencing is required to

completely enclose it What is the width of the garden?

116) _

117) Ted drove to his grandparents' house for a holiday weekend The total distance (one-way) was

250 miles and it took him 4 hours How fast was Ted driving? (Round answer to the nearest

whole number)

117) _

118) Sally is making a cover for a round table When finished, the cover will fit exactly with no excess

hanging off Sally has to cut the fabric circle with a 4 inch larger diameter than the table to allow

for hemming If the table has a diameter of 42 inches, how much fabric does Sally need? (Use

3.14 for π Round to 2 decimal places.)

121) It took Sara's mother 4 hours round trip to drive to the University and bring Sara back home for

spring break If the University is 96 miles from home, find her mother's average speed

121) _

55 mph

122)

You are varnishing the background for a rectangular mural The base of the mural is 6 meters

and the height of the mural is 5 meters How many cans of varnish will you need if each can

covers 10 square meters?

122) _

147) If State University has approximately 42,000 students, about how many would you expect to

consume 5-6 pizzas in a typical month?

147) _

A) 7560 students B) 1428 students C) 14,280 students D) 756 students

Solve Round answers to the nearest cent

148) A store is advertising a off sale on all new DVD releases Find the discount of a newly

released DVD collectors set that regularly sells for $69.00

148) _

149) An automobile dealership recently reduced the price of a used sports car by 28% If the price of

the car was $25,700.00, find the discount

149) _

A) $719.60 B) $24,980.40 C) $7196.00 D) $18,504.00

150) A store is advertising off sale on everything in the store Find the discount of a painting

that regularly sells for

150) _

151) A store is advertising off sale on everything in the store Find the discount of a painting

that regularly sells for

151) _

152) A store is advertising a off sale on all new DVD releases Find the sale price of a newly

released DVD collectors set that regularly sells for $68.00

152) _

153) An automobile dealership recently reduced the price of a used sports car by 40% If the price of

the car was $36,300.00, find the sale price

155) A store is advertising off sale on everything in the store Find the sale price of a sofa that

regularly sells for

155) _

156) Jeans are on sale at the local department store for 15% off If the jeans originally cost $49, find the

sale price (Round to the nearest cent.)

156) _

Solve Round to the nearest tenth, if necessary

157) Due to a lack of funding, the number of students enrolled at City College went from 7000 last

year to 3000 this year Find the percent decrease in enrollment (Round to the nearest tenth of a

161) Sales at a local ice cream shop went up 40% in 5 years If 12,000 ice cream cones were sold in the

current year, find the number of ice cream cones sold 5 years ago (Round to the nearest integer,

if necessary.)

161) _

162) Attendance this year at the homecoming football game is 153% of what it was last year If last

year's homecoming football game attendance was 32,000, what is this year's attendance? (Round

to the nearest integer, if necessary.)

164) A chemist needs 6 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?

164) _

A) 2.4 liters of the 20% solution; 3.6 liters of the 70% solution

B) 3 liters of the 20% solution; 3 liters of the 70% solution

C) 1.8 liters of the 20% solution; 4.2 liters of the 70% solution

D) 1.2 liters of the 20% solution; 4.8 liters of the 70% solution

165) The owners of a candy store want to sell, for $6 per pound, a mixture of

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

usually sells for $8 per pound They have a barrel of the raisins How many pounds

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?

165) _

166) The manager of a coffee shop has one type of coffee that sells for $9 per pound and another type

that sells for $15 per pound The manager wishes to mix 70 pounds of the $15 coffee to get a

mixture that will sell for $10 per pound How many pounds of the $9 coffee should be used?

166) _

A) 210 pounds B) 175 pounds C) 350 pounds D) 420 pounds

167) The manager of a candy shop sells chocolate covered peanuts for $10 per pound and chocolate

covered cashews for $15 per pound The manager wishes to mix 80 pounds of the cashews to get

a mixture that will sell for $14 per pound How many pounds of peanuts should

C)

D)

C)

D)

170) 5 ≤ x

170) _

A)

B)

C)

D)

C)

D)

C)

D)

C)

D)

174) 2 ≤ x < 6

174) _

A)

B)

C)

D)

Solve the inequality

C) {x }

C) {x }

D) {x }

180) -10 - 3x + 4 ≥ -4x - 9

180) _

C) {y }

C) {x }

D) {x }

C) {x }

C) {x }

C) {x }

D) {x }

C) {y }

D) {y }

C) {x }

D) {x }

C) {x }

D) {x }

Solve

193) The area of a rectangle must be at least 144 square feet If the length is 8 feet, find the minimum

for the rectangle's width

195) Claire has received scores of 85, 88, 87, and 85 on her algebra tests What is the minimum score

she must receive on the fifth test to have an overall test score average of at least 88? (Hint: The

average of a list of numbers is their sum divided by the number of numbers in the list.)

195) _

196) A student scored 71, 89, and 97 on three algebra tests What must he score on the fourth test in

order to have an average grade of at least 85?

196) _

197) A certain vehicle has a weight limit for all passengers and cargo of 1199 pounds The four

passengers in the vehicle weigh an average of 155 pounds Use an inequality to find the

maximum weight of the cargo that the vehicle can handle

197) _

198) A certain store has a fax machine available for use by its customers The store charges $1.80 to

send the first page and $0.55 for each subsequent page Use an inequality to find the maximum

number of pages that can be faxed for $5.65

198) _

199) An archer has $205 to spend on a new archery set A certain set containing a bow and three

arrows costs $52 With the purchase of this set, he can purchase additional arrows for $9 per

arrow Use an inequality to find the maximum number of arrows he could obtain, including

those with the set, for his $205

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

$1.90 After that, each additional minute or portion of a minute of that call costs $0.20 Use an

inequality to find the maximum number of minutes one can call long distance for $3.70

200) _

201) It takes 10 minutes to set up a candy making machine Once the machine is set up, it produces 30

candies per minute Use an inequality to find the number of candies that can be produced in 4

hours if the machine has not yet been set up

201) _

202) A standard train ticket in a certain city costs per ride People who use the train also have

the option of purchasing a frequent rider pass for each month With the pass, a ticket

costs only per ride Use an inequality to determine the number of train rides in a month for

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

ticket

202) _

Fill in the blank with one of the words or phrases listed below

C) linear equation in one variable D) formula