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
Trang 1
MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question
Solve the equation
D)
Trang 2Translate the sentence into an equation using the variable x
Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just
x on the left side
Trang 4A)
B)
Write an equation using the information given in the problem Use x as the variable
= 4
= 10
A)
= 6
B) = 10
C) 6x = 10 D) 10x = 6
SHORT ANSWER Write the word or phrase that best completes each statement or answers the question
Provide an appropriate response
47) While solving an equation, why can't you multiply both sides of the equation by zero? 47) _
MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question
50) Which equation does not require the use of the multiplication property of equality to solve the
51) Tell whether you would use the addition or multiplication property of equality to solve the
SHORT ANSWER Write the word or phrase that best completes each statement or answers the question
53) A student tried to solve the equation 8x = 35 by dividing each side by 35 Why is this not
the correct procedure for solving this equation?
53) _
54) State how you would find the solution of a linear equation if your next-to-last step reads "-x = 35."
Trang 554) _
55) Write an equation that requires the use of the multiplication property of equality, where
both sides must be multiplied by and where the solution is a negative number
55) _
56) Write an equation that requires the use of the multiplication property of equality, where
both sides must be multiplied by 100 and where the solution isn't an integer
56) _
MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question
Solve the equation
D)
67)
(r + 6) = (r + 8)
67)
Trang 6D)
Trang 7
Write the answer to the problem as an algebraic expression
82) Two numbers have a sum of 36 One of the numbers is q Find the other number 82)
D) 15 t
84) Today the Center City baseball team scored 4 runs The day before yesterday they scored z How
many runs did they score in these two days?
89) A theater ticket for adults is A dollars and the price of a child's ticket is C dollars If 12 adults
and 27 children attend the theater one night, how much money did the theater make?
89)
SHORT ANSWER Write the word or phrase that best completes each statement or answers the question
Provide an appropriate response
90) Write the steps you would use to solve this equation: 9(x - 1) + 8x = -6x 90) _
91) The solution set for the equation 4(5s - 2) = 20s - 8 is given as 0 Is this correct? Explain 91) _
92) After working correctly through several steps of the solution of a linear equation, a
student obtains the equation 3x = 4x Then the student divides each side by x to get 3 = 4
and gives ∅ as the answer Is this correct? If not, explain why
Trang 8Solve the problem
95) One half of a number is 3 more than one-sixth the same number What is the number? 95)
96) The difference between two positive integers is 46 One integer is three times as great as the
other Find the integers
98) The sum of twice a number and 20 less than the number is the same as the difference between
-32 and the number What is the number?
98)
99) A merchant has coffee worth $20 a pound that she wishes to mix with 90 pounds of coffee worth
a pound to get a mixture that can be sold for a pound How many pounds of the
coffee should be used?
99)
A) 67.5 pounds B) 135 pounds C) 225 pounds D) 112.5 pounds
100) A paint mixture contains 47 gallons of base for every gallon of color In 1488 gallons of paint,
how many gallons of color are there?
100) _
A) 496 gallons B) 31 gallons C) 744 gallons D) 1457 gallons
101) A reservation clerk worked 9 hours one day She spent twice as much time entering new
reservations as she did verifying old ones and one and a half as much time calling to confirm
reservations as verifying old ones How much time did she spend entering new reservations?
101) _
A) 3 hours B) 2 hours C) 8 hours D) 4 hours
102) A high school graduating class is made up of 546 students There are 146 more girls than boys
How many boys are in the class?
102) _
103) On August 17, the Fernandez family received 31 pieces of mail, consisting of magazines, bills,
letters, and ads If they received the same number of magazines as letters, three more bills than
letters, and five more ads than bills, how many magazines did they receive?
103) _
A) 8 magazines B) 13 magazines C) 5 magazines D) 6 magazines
104) The sum of the measures of the angles in any triangle is 180 degrees In triangle ABC, angles A
and B have the same measure, while angle C is 42 degrees larger than each of the other two
angles Find the measure of angle C
104) _
A) 46 degrees B) 92 degrees C) 88 degrees D) 134 degrees
105) Pennies are packaged 50 in a roll A mother gave her son 192 pennies for his bank and had 8
pennies left over How many rolls of pennies did she use?
105) _
106) Elaine had 45 buttons Her grandmother donated 5 cards of buttons to the collection Elaine
sorted the buttons into 10 piles, putting 9 buttons in each pile How many buttons were on each
card from Elaine's grandmother?
106) _
A) 84 buttons B) 9 buttons C) 43 buttons D) 81 buttons
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107) Junior high classes of 25 students each met in the cafeteria to take achievement tests If exactly 7
students sat at each table and 25 tables were used, how many classes took the tests?
113) The sum of the measures of the angles of any triangle is 180° In triangle ABC, angles A and B
have the same measure, while the measure of angle C is 15° larger than each of A and B What
are the measures of the three angles?
117) Two pages that face each other in a book have 441 as the sum of their page numbers What is the
number of the page that comes first?
117) _
118) If three times the smaller of two consecutive integers is added to four times the larger, the result
is 144 Find the smaller integer
118) _
119) If the first and third of three consecutive odd integers are added, the result is 51 less than five
times the second integer Find the third integer
119) _
SHORT ANSWER Write the word or phrase that best completes each statement or answers the question
Answer the question
120) Which of the following would not be a reasonable answer in an applied problem that requ ires finding the
Trang 10MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question
121) The following statement would be considered a step in solving an applied problem True or
SHORT ANSWER Write the word or phrase that best completes each statement or answers the question
122) If x represents a positive integer, how would you express its negative? 122)
123) If x represents a negative integer, how would you express its negative? 123)
124) How would you express the product of two numbers, r and s? 124)
125) Two angles are complimentary One of the angles is r How do you express the other
127) Two angles q and r are complimentary The angle s is supplementary to q Write an
equation showing the relationship between r and s
MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question
Decide whether the perimeter or area would be used to solve a problem concerning the measure of the quantity
Trang 11Use a formula to solve the problem
142) What is the perimeter of a rectangle of length 10 ft and width 12 ft? 142) _
146) A rectangular Persian carpet has a perimeter of 176 inches The length of the carpet is 18 inches
more than the width What are the dimensions of the carpet?
146) _
A) 53 inches by 71 inches B) 70 inches by 88 inches
C) 35 inches by 53 inches D) 79 inches by 97 inches
147) A square plywood platform has a perimeter which is 9 times the length of a side, decreased by
30 Find the length of a side
147) _
Trang 12A) 1 B) 11 C) 6 D) 5
148) A pie-shaped (triangular) lake-front lot has a perimeter of 1400 feet One side is 300 feet longer
than the shortest side, while the third side is 500 feet longer than the shortest side Find the
lengths of all three sides
Trang 132πr2
for h
_ A)
Express the phrase as a ratio in lowest terms
A)
B)
C)
D)
A)
B)
C)
D)
Trang 14164) 52 ft to 36 ft 164) _ A)
B)
C)
D)
A)
B)
C)
D)
A)
B)
C)
D)
Find the best buy and give the unit price
Trang 15C)
D)
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Solve the problem
188) If a boat uses 21 gallons of gas to go 64 miles, how many miles can the boat travel on 84 gallons
191) The sides of a triangle are 8 inches, 9 inches, and 10 inches If the shortest side of a similar
triangle is 32 inches, find its longest side
191) _
192) On a map of the Thunderbird Country Club golf course, 1.5 inches equals 45 yards How long is
the 17th hole if the map shows 8.5 inches?
194) If a spring stretches 0.9 m when a 6-kg weight is attached to it, how much will it stretch when a
8-kg weight is attached to it?
196) The ratio of the distances a pitching wedge and an 8-iron will drive a golf ball is 4 to 5 If a
golfer averages 141 yards with a pitching wedge, how far should she average with an 8-iron?
196) _
197) The ratio of the lengths of strings that play the notes D and B is 27 to 16 If a string 48 cm long
plays a B, what is the length of the string that plays a D?
Trang 17201) A tree casts a shadow 15 m long At the same time, the shadow cast by a 46-cm tall statue is 57
cm long Find the height of the tree Round results to the nearest unit
201) _
202) A triangle drawn on a map has sides of lengths 7.0 cm, 12 cm, and 15 cm The shortest of the
corresponding real-life distances is 139 km Find the longest of the real-life distances Round to
the nearest unit
202) _
203) A church steeple casts a shadow 107 ft long, and at the same time a 7.0-ft post cast a shadow 6.0
ft long How high is the steeple? Round to the nearest unit
203) _
204) A line from the top of a cliff to the ground passes just over the top of a pole 7.0 ft high and meets
the ground at a point 8.0 ft from the base of the pole If the point is 96 ft from the base of the cliff,
how high is the cliff? Round to the nearest unit
204) _
205) Use the Consumer Price Index figures in the table below to find the amount that would be
charged in 2001 for the same amount of groceries that cost $169.20 in 1995 Give your answer to
the nearest dollar
Trang 18217) Students at East Central High School earned $378 selling car washes They want to make $3440
for a club trip What percent of their goal has been reached? Round to the nearest tenth of a
percent, if necessary
217) _
218) Thompson's Hardware spent $14,640 this year on health insurance alone If total sales were
$304,700, what percent of total sales was spent on health insurance? Round to the nearest tenth
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220) The appliance store where the Jordans shop offers a 8% discount for paying cash The Jordans
received a discount of $72 What was their total bill before the discount? Round to the nearest
dollar
220) _
221) There are 8290 self-employed persons in a town If this represents 7% of the total number, what
is the total number? Round to the nearest whole number
221) _
SHORT ANSWER Write the word or phrase that best completes each statement or answers the question
Provide an appropriate response
222) Which one of the following ratios is not the same as 5 to 6?
MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question
Solve the problem
231) A retail store had monthly sales of $55,800 and spent 20% of it on advertising How much was
spent on advertising?
231) _
A) $11,160 B) $279,000 C) $111,600 D) $27,900
232) An investment broker invests $82,800 in highway bonds and earns 4% per year on the
investment How much money is earned per year?
232) _
A) $2,070,000 B) $207,000 C) $3312 D) $33,120
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233) The Liberty Mutual Bank pays 4.5% simple interest per year on certificate accounts What is the
annual income on a certificate account of ? Round to the nearest dollar
233) _
234) Students at East Central High School earned $700 selling pennants They want to make $2060 for
a club trip What percent of their goal has been reached? Round to the nearest tenth of a percent,
if necessary
234) _
235) Allied Plumbing spent $41,110 this year on advertising alone If total sales were $586,700, what
percent of total sales was spent on advertising? Round to the nearest tenth of a percent, if
necessary
235) _
236) The parking lot at a shopping mall has 80 cars in it 80% of the cars are two-toned How many
cars are two-toned?
236) _
237) The appliance store where the Grants shop offers a 7% discount for paying cash The Grants
received a discount of $66 What was their total bill before the discount? Round to the nearest
dollar
237) _
238) There are 8160 under-capitalized retail stores If this represents 20% of all retail stores, what is
the total number of retail stores? Round to the nearest whole number
238) _
239) A convention manager finds that she has $1200 made up of twenties and fifties She has a total of
42 bills How many fifty-dollar bills does the manager have?
239) _
A) 12 fifty-dollar bills B) 42 fifty-dollar bills
C) 8 fifty-dollar bills D) 30 fifty-dollar bills
240) A woman has $1.70 in dimes and nickels She has 5 more dimes than nickels How many nickels
does she have?
240) _
A) 18 nickels B) 3 nickels C) 8 nickels D) 13 nickels
241) A bank teller has some five-dollar bills and some twenty-dollar bills The teller has 10 more of
the twenties The total value of the money is $650 Find the number of five-dollar bills that the
teller has
241) _
A) 28 five-dollar bills B) 38 five-dollar bills
C) 18 five-dollar bills D) 8 five-dollar bills
242) A cashier has a total of 135 bills made up of fives and tens The total value of the money is $725
How many ten-dollar bills does the cashier have?
242) _
A survey showed that students had these preferences for instructional materials Use the graph to answer the
question
Trang 21243) About how many students would you expect to prefer computers in a school of 550 students? 243) _
244) About how many students would you expect to prefer lectures in a school of 350 students? 244) _
245) About how many students would you expect to prefer written materials in a school of 350
students?
245) _
246) About how many students would you expect to prefer radio in a school of 950 students? 246) _
247) About how many students would you expect to prefer TV in a school of 400 students? 247) _
248) About how many students would you expect to prefer films in a school of 300 students? 248) _
Solve the problem
249) It is necessary to have a 40% antifreeze solution in the radiator of a certain car The radiator now
has 40 liters of 20% solution How many liters of this should be drained and replaced with 100%
antifreeze to get the desired strength?
251) In a chemistry class, 9 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?
251) _
252) A merchant has coffee worth $60 a pound that she wishes to mix with 50 pounds of coffee worth
$90 a pound to get a mixture that can be sold for $70 a pound How many pounds of the $60
coffee should be used?
252) _
Trang 22A) 150 pounds B) 50 pounds C) 100 pounds D) 75 pounds
253) Helen Weller invested $12,000 in an account that pays 3% simple interest How much additional
money must be invested in an account that pays 6% simple interest so that the average return on
the two investments amounts to 4%?
253) _
254) Mardi received an inheritance of $40,000 She invested part at 5% and deposited the remainder
in tax-free bonds at 4% Her total annual income from the investments was $1900 Find the
amount invested at 5%
254) _
255) Walt made an extra $9000 last year from a part-time job He invested part of the money at 4%
and the rest at 3% He made a total of $330 in interest How much was invested at 3%?
255) _
256) Roberto invested some money at 5%, and then invested $3000 more than twice this amount at
6% His total annual income from the two investments was $2730 How much was invested at
259) Jill is 20 kilometers away from Joe Both begin to walk toward each other at the same time Jill
walks at 1.5 km/hr They meet in 5 hours How fast is Joe walking?
259) _
A) 5.5 km/hr B) 2 km/hr C) 12.5 km/hr D) 2.5 km/hr
260) From a point on a straight road, two cars are driven in opposite directions, one at 63 miles per
hour and the other at 61 miles per hour In how many hours will they be 372 miles apart?
260) _
261) From a point on a straight road, John and Fred ride bicycles in opposite directions John rides 10
miles per hour and Fred rides 13 miles per hour In how many hours will they be 92 miles apart?
261) _
262) From a point on a river, two boats are driven in opposite directions, one at 9 miles per hour and
the other at 13 miles per hour In how many hours will they be 66 miles apart?