Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Express the statement as an algebraic expression.
1)
The quotient of a number and 35
1)
A)
35 – x
B)
x
35
C)
35x
D)
35
x
Determine what x =.
2)
Ryan has 57 plastic blocks that are either yellow or green.
2)
A)
x = number of yellow blocks plus number of green blocks
B)
x = number of yellow blocks
C)
x = number of yellow blocks or x = number of green blocks
D)
x = number of green blocks
Write an equation to represent the problem.
3)
The sum of a number and 4 is 14.
3)
A)
x ÷4=14
B)
x +4=14
C)
4x =14
D)
x –4=14
4)
Michele has a dollhouse, (which is an exact replica of her “real” house), in which the size of the
dollhouse is 1
16th the size of her “real” house. The difference between the length of a side of her
“real” house and the length of a side of her dollhouse is 96 feet.
4)
A)
x –96 =1
16
B)
x –1
16 =96
C)
x –1
16x =96
D)
96x –1
16x = 0
5)
Kristian received 630 more than twice times the number of miles than Louis did on their plane trips
to California.
5)
A)
x = number of miles that Louis received
B)
x = number of miles that Kristian and Louis received
C)
x = number of miles that Kristian received
D)
x = number of miles that Kristian received or x = number of miles that Kristian received
Solve the problem.
6)
In an isosceles triangle, one angle is 33° greater than the other two angles. Find the measure of all
three angles.
6)
A)
33°, 33°, 114°
B)
49°, 49°, 82°
C)
36.8°, 36.8°, 106.5°
D)
57°, 57°, 66°
7)
In a parallelogram, each of the two larger angles is 60° less than twice the smaller angles. Find the
measure of each angle.
7)
A)
smaller angles =20°; larger angles =160°
B)
smaller angles =80°; larger angles =100°
C)
smaller angles =60°; larger angles =120°
D)
smaller angles =40°; larger angles =140°
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
8)
A college student earned $6500 during summer vacation working as a waiter in a popular
restaurant. The student invested part of the money at 9% and the rest at 7%. If the student received
a total of $515 in interest at the end of the year, how much was invested at 9%?
8)
A)
$928
B)
$3000
C)
$3500
D)
$3250
Write an equation to represent the problem.
9)
Eight times a number is 14 more than four times that number.
9)
A)
8+ x =4x +14
B)
8x +14 =4x
C)
8x =4(x +14)
D)
8x =4x +14
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
10)
The difference of twice a number and 4 is 8.
10)
A)
2x +4=8; 2
B)
x – 2 ·4=8; 16
C)
2x –4=8; 6
D)
4– 2x =8; – 2
Express the statement as an algebraic expression.
11)
24 less than the product of 6 and a number
11)
A)
24 –6x
B)
x
6–24
C)
6x –24
D)
6+ x –24
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
12)
Linda and Dave leave simultaneously from the same starting point biking in opposite directions.
Linda bikes at 6 miles per hour and Dave bikes at 10 miles per hour. How long will it be until they
are 20 miles apart from each other?
12)
A)
0.3 hours
B)
0.8 hours
C)
5 hours
D)
1.3 hours
Write the indicated expression.
13)
Kevin and Amir share in the profits of a pet supplies store. If the total profit is $70,000 and p is the
amount of profit Keven receives, write an expression for the amount Amir receives.
13)
A)
p +$70,000
B)
$70,000 – p
C)
$70,000 + p
D)
p –$70,000
14)
Kim had a baby weighing x pounds and y ounces. Write an expression that represents the baby’s
weight in ounces.
14)
A)
16x + y
B)
16
x+ y
C)
x +y
16
D)
16(x + y)
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
15)
Doreen and Irena plan to leave their houses at the same time, roller blade towards each other, and
meet for lunch after 2 hours on the road. Doreen can maintain a speed of 7.2 miles per hour, which
is 60% of Irena‘s speed. If they meet exactly as planned, what is the distance between their houses?
15)
A)
24 miles
B)
23.04 miles
C)
38.4 miles
D)
14.4 miles
Write an equation to represent the problem.
16)
Three more than five times a number is that number increased by 33.
16)
A)
5x –3= x +33
B)
5(x +3) = x +33
C)
5x +3=33x
D)
5x +3= x +33
Determine what x =.
17)
Kathryn is 5 centimeters shorter than Amir.
17)
A)
x = Kathryn’s height minus Amir’s height
B)
x = Kathryn’s height
C)
x = Amir’s height
D)
x = Amir’s height plus Kathryn’s height
Solve the problem.
18)
A rectangular horse pen is to be fenced and divided into five partitions as shown. The length of the
fenced–in area is to be twice the width, and the total amount of fencing to be used is 260 feet. Find
the length and width of the fenced–in area.
18)
A)
l =57.8 ft, w =28.9 ft
B)
l =22.8 ft, w =11.4 ft
C)
l =28 ft, w =26 ft
D)
l =52 ft, w =26 ft
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
19)
A chemist needs 170 milliliters of a 71% solution but has only 59% and 93% solutions available.
Find how many milliliters of each that should be mixed to get the desired solution.
19)
A)
113 ml of 59%; 60 ml of 93%
B)
113 ml of 59%; 57 ml of 93%
C)
60 ml of 59%; 110 ml of 93%
D)
110 ml of 59%; 60 ml of 93%
20)
The manager of a coffee shop has one type of coffee that sells for $6 per pound and another type
that sells for $14 per pound. The manager wishes to mix 40 pounds of the $14 coffee to get a
mixture that will sell for $8 per pound. How many pounds of the $6 coffee should be used?
20)
A)
120 pounds
B)
60 pounds
C)
80 pounds
D)
160 pounds
21)
An airplane flies 470 miles with the wind and 350 against the wind in the same length of time. If the
speed of the wind is 30 mph, what is the speed of the airplane in still air?
21)
A)
195 mph
B)
205 mph
C)
87.5 mph
D)
210 mph
22)
A motorcycle traveling at 60 miles per hour overtakes a car traveling at 40 miles per hour that had a
three–hour head start. How far from the starting point are the two vehicles?
22)
A)
360 miles
B)
72 miles
C)
6 miles
D)
9 miles
23)
Melita Zuba made a $900,000 cash contribution to two charities, the American Brain Tumor
Association and the National Brain Tumor Foundation. The amount received by the National Brain
Tumor Foundation was 40% greater than the amount received by the American Brain Tumor
Association. How much did the American Brain Tumor Association receive?
23)
A)
$525,000.00
B)
$642,857.14
C)
$375,000.00
D)
$900,000
24)
Sybil is having her yard landscaped. She obtained an estimate from two landscaping companies.
Company A gave an estimate of $240 for materials and equipment rental plus $50 per hour for
labor. Company B gave and estimate of $300 for materials and equipment rental plus $40 per hour
for labor. Determine how many hours of labor will be required for the two companies to cost the
same.
24)
A)
6 hours
B)
9 hours
C)
5 hours
D)
10 hours
Solve the problem.
25)
A bookcase is to be constructed with three shelves as shown. The height of the bookcase is 6 feet
longer than the length of a shelf, and only 36 feet of lumber is available. What should be the width
and height of the bookcase?
25)
A)
length =4 feet; height =24 feet
B)
length =4 feet; height =10 feet
C)
length =15 feet; height =18 feet
D)
length =6 feet; height =12 feet
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
26)
At a gourmet nut shop, nuts are sold in bulk. Cashews sell for $1.20 per pound and macadamia
nuts sell for $8.55 per pound. Lee wishes to purchase 5 pounds of mixed nuts by mixing 3.5 pounds
of cashews and 1.5 pounds of macadamia nuts. What will be the price per pound of the mixture?
26)
A)
$3.41
B)
$6.35
C)
$31.73
D)
$17.03
27)
The local clothing store marks up the price that it pays to the clothing manufacturer by 30%. If the
selling price of a pair of jeans is $127, how much did the clothing store pay for the jeans?
27)
A)
$31.75
B)
$181.43
C)
$97.69
D)
$165.10
Write the indicated expression.
28)
The smaller of two numbers is 49 less than four times the larger number. Write an expression for
the smaller number subtracted from the larger number. Let n represent the larger number.
28)
A)
n – (4n – 4·49)
B)
n – (4n –49)
C)
n – (n – 4·49)
D)
4n – (n –49)
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
29)
Khang and Hector live 26.6 miles apart. They decide to bicycle towards each other and meet
somewhere in between. Hector’s rate of speed is 90% of Khang’s. They start out at the same time
and meet 2 hours later. Find Hector’s rate of speed.
29)
A)
14 mph
B)
7 mph
C)
26.6 mph
D)
6.3 mph
Express the statement as an algebraic expression.
30)
Twice the sum of a number and 27
30)
A)
27(x + 2)
B)
2(x +27)
C)
2x +27
D)
54 + x
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
31)
During a hurricane evacuation from the east coast of Georgia, a family traveled 260 miles west. For
part of the trip, they averaged 60 mph, but as the congestion got bad, they had to slow to 30 mph. If
the total time of travel was 7 hours, how many miles did they drive at the reduced speed?
31)
A)
155 miles
B)
165 miles
C)
160 miles
D)
170 miles
32)
A train ticket in a certain city is $2.00. People who use the train also have the option of purchasing a
frequent rider pass for $16.50 each month. With the pass, each ticket costs only $1.25. Determine the
number of times in a month the train must be used so that the total monthly cost without the pass is
the same as the total monthly cost with the pass.
32)
A)
24 times
B)
21 times
C)
22 times
D)
23 times
Express the statement as an algebraic expression.
33)
One–half the weight , w, increased by 5 pounds
33)
A)
5–1
2w
B)
1
2w +5
C)
5+1
2w
D)
1
2w –5
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
34)
A car rental agency advertised renting a luxury, full–size car for $29.95 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.
34)
A)
7
B)
430
C)
100
D)
359
Write an equation to represent the problem.
35)
Lauren Wolf purchased a dress at a 25% off sale. She paid $99 for the dress. Let p represent the
price of the dress.
35)
A)
p –0.25p =99
B)
p +0.25p =99
C)
p –0.25 =99
D)
0.25p – p =99
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
36)
Dave 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.
36)
A)
4.6 mph
B)
7.1 mph
C)
3.7 mph
D)
6.7 mph
Determine what x =.
37)
The motorcycle costs $14,000 more than the moped.
37)
A)
x = cost of the moped plus the cost of the motorcycle
B)
x = cost of the motorcycle minus the cost of the moped
C)
x = cost of the moped
D)
x = cost of the motorcycle
Select a variable to represent one quantity and state what that variable represents. Express the second quantity in terms of
the variable selected.
38)
Last year, Rebecca received a grant of g dollars for school. This year she received $6000 plus
five–ninths of last year’s amount.
38)
A)
let g = old grant amount, then 5
9g +6000 = new grant amount
B)
let 5
96000 + g = old grant amount, then g = new grant amount
C)
let 5
9+6000g = old grant amount, then g = new grant amount
D)
let g = old grant amount, then 5
96000 +6000g = new grant amount
Express the statement as an algebraic expression.
39)
A number increased by 67
39)
A)
67x
B)
x – 67
C)
67
D)
x + 67
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
40)
Susan purchased some municipal bonds yielding 7% annually and some certificates of deposit
yielding 9% annually. If Susan’s investment amounts to $19,000 and the annual income is $1590,
how much money is invested in bonds and how much is invested in certificates of deposit?
40)
A)
$13,000 in bonds; $6000 in certificates of deposit
B)
$13,500 in bonds; $5500 in certificates of deposit
C)
$5500 in bonds; $13,500 in certificates of deposit
D)
$6000 in bonds; $13,000 in certificates of deposit
41)
A retired couple has $190,000 to invest to obtain annual income. They want some of it invested in
safe certificates of deposit yielding 7%. The rest they want to invest in AA bonds yielding 10% per
year. How much should they invest in each to realize exactly $17,200 per year?
41)
A)
$130,000 at 7%; $60,000 at 10%
B)
$120,000 at 7%; $70,000 at 10%
C)
$140,000 at 10%; $50,000 at 7%
D)
$130,000 at 10%; $60,000 at 7%
42)
During an intramural basketball game, Team A scored 12 fewer points than Team B. Together, both
teams scored a total of 144 points. How many points did Team A score during the game?
42)
A)
67 points
B)
78 points
C)
72 points
D)
66 points
43)
Jeff starts driving at 45 miles per hour from the same point that Lauren starts driving at 50 miles per
hour. They drive in opposite directions, and Lauren has a half–hour head start. How long will they
be able to talk on their cell phones that have a 290–mile range?
43)
A)
2.8 hours
B)
3.1 hours
C)
3 hours
D)
3.3 hours
44)
An accountant receives a salary of $265,175 per year. During the year, he plans to spend $95,000 on
his mortgage, $53,000 on food, $39,000 on clothing, $46,000 on household expenses, and $22,000 on
other expenses. With the money that is left, he expects to buy as many shares of stock at $275 per
share as possible. How many shares will he be able to buy?
44)
A)
36 shares
B)
34 shares
C)
39 shares
D)
37 shares
45)
Center City East Parking Garage has a capacity of 252 cars more than Center City West Parking
Garage. If the combined capacity for the two garages is 1220 cars, find the capacity for each garage.
45)
A)
Center City East: 474 cars
Center City West: 746 cars
B)
Center City East: 746 cars
Center City West: 474 cars
C)
Center City East: 736 cars
Center City West: 484 cars
D)
Center City East: 484 cars
Center City West: 736 cars
Write the indicated expression.
46)
A slice of pie has 150 calories and a scoop of ice cream has 200 calories. If John has x pieces of pie
with 3 scoops of ice cream each, write an expression that represents the number of calories he will
consume.
46)
A)
(150+ 3·200)x
B)
3x +150+200
C)
150x + 3·200
D)
150·3x +200
Express the statement as an algebraic expression.
47)
The sum of twice a number and 39
47)
A)
2 + x +39
B)
2x +39
C)
2(x +39)
D)
78 + x
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
48)
You inherit $10,000 with the stipulation that for the first year the money must be invested in two
stocks paying 6% and 11% annual interest, respectively. How much should be invested at each rate
if the total interest earned for the year is to be $800?
48)
A)
$6000 invested at 6%; $4000 invested at 11%
B)
$4000 invested at 6%; $6000 invested at 11%
C)
$7000 invested at 6%; $3000 invested at 11%
D)
$5000 invested at 6%; $5000 invested at 11%
Solve the problem.
49)
Angle A and angle B are supplementary angles and angle A is 35° less than four times angle B. Find
the measures of angle A and angle B.
49)
A)
A =151°, B =29°
B)
A =172°, B =8°
C)
A =137°, B =43°
D)
A =131.7°, B =48.3°
Write the indicated expression.
50)
The assessed value of Linda Grill’s house is 5000 more than twice that of Mel Murphy’s house.
Write an expression for the sum of the assessed values. Let v represent the value of Mel Murphy’s
house.
50)
A)
v + (2v +5000)
B)
v + (2v –5000)
C)
v + (v +5000)
D)
v + (v + 2·5000)
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
51)
The sum of a number and 3 is 10.
51)
A)
x –3=10;13
B)
3x =10;10
3
C)
x +3=10; 7
D)
x ÷3=10;30
52)
You inherit $42,000 from a very wealthy grandparent, with the stipulation that for the first year, the
money must be invested in two stocks paying 4% and 10% annual interest, respectively. How much
should be invested at each rate if the total interest earned for the year is to be $2400?
52)
A)
$30,000 invested at 4%; $12,000 invested at 10%
B)
$20,000 invested at 4%; $22,000 invested at 10%
C)
$22,000 invested at 4%; $20,000 invested at 10%
D)
$12,000 invested at 4%; $30,000 invested at 10%
Express the statement as an algebraic expression.
53)
The sum of a 5 and a number
53)
A)
5x
B)
5+ x
C)
5– x
D)
5
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
54)
On a road trip, five friends drove at 55 miles per hour to California. On the way home, they took
the same route but drove 70 miles per hour. How many miles did they drive on the way to
California if the round trip took 10 hours?
54)
A)
308 miles
B)
2566.7 miles
C)
5.6 miles
D)
616 miles
Express the statement as an algebraic expression.
55)
Six times the difference of a number and 12
55)
A)
6(x –12)
B)
x –12
6
C)
6x –12
D)
6(12 – x)
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
56)
When Milo got promoted at work, he received a 10% pay raise. He now earns $37,400 per year.
What was his annual salary before his raise?
56)
A)
$3400
B)
$37,400
C)
$3740
D)
$34,000
Write an equation to represent the problem.
57)
Jennifer Park’s 2007 income was 4.8% greater than her 2006 income. Her income in 2007 was
$79,200. Let i represent 2006 income.
57)
A)
i –0.048i =79,200
B)
i +0.048·79,200 =79,200
C)
2i +0.048i =79,200
D)
i +0.048i =79,200
Solve the problem.
58)
The perimeter of a rectangular room is 160 feet. Find the length and width of the room if the length
is 8 feet longer than twice the width.
58)
A)
w =48 ft; l =112 ft
B)
w =29 ft; l =66 ft
C)
w =36 ft; l =44 ft
D)
w =24 ft; l =56 ft
Express the statement as an algebraic expression.
59)
51 less than a number
59)
A)
x + 51
B)
x – 51
C)
51 – x
D)
51x
Write an equation to represent the problem.
60)
Scot and Elizabeth ate dinner at an upscale bistro. The cost of their meals plus a 19% tip was $63.87.
60)
A)
x +0.19x =63.87
B)
x +1.9x =63.87
C)
x +19x =63.87
D)
x +0.19 =63.87
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
61)
Andrea decided to rollerblade to her mother’s house. Four blocks from her home, one of the wheels
on her skate broke, and she had to walk the remaining five blocks to her mother’s. She could not
repair her skate and had to walk all the way back home. How many more blocks did Andrea walk
than she skated?
61)
A)
18 blocks
B)
14 blocks
C)
9 blocks
D)
10 blocks
62)
Because the budget cutbacks, MaryAnn was required to take a 20% pay cut. If she earned $52,000
before the pay cut, find her salary after the pay cut.
62)
A)
$4160
B)
$51,896.00
C)
$41,600
D)
$50,960
63)
An auto repair shop charged a customer $415 to repair a car. The bill listed $65 for parts and the
remainder for labor. If the cost of labor is $35 per hour, how many hours of labor did it take to
repair the car?
63)
A)
10 hours
B)
11 hours
C)
9 hours
D)
10.5 hours
64)
A bank loaned out $61,000, part of it at the rate of 12% per year and the rest at a rate of 4% per year.
If the interest received was $4600, how much was loaned at 12%?
64)
A)
$28,000
B)
$27,000
C)
$33,000
D)
$34,000
Solve the problem.
65)
Angle A and angle B are complementary angles and angle A is 10° more than three times angle B.
Find the measures of angle A and angle B.
65)
A)
A =70°, B =20°
B)
A =30°, B =60°
C)
A =20°, B =70°
D)
A =60°, B =30°
Write the indicated expression.
66)
The price of Investor Growth mutual fund is 21% greater than the price of Investor Value mutual
fund. Write an expression for the sum of Growth and Values mutual funds. Let n represent the
Investor Value.
66)
A)
2n + (n +0.21n)
B)
n + (n –0.21n)
C)
n + (n +0.21n)
D)
n +0.21n
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
67)
Seven times a number is 20 more than five times that number.
67)
A)
7x +20 =5x; – 10
B)
7x =5x +20;10
C)
7+ x =5x +20;– 13
4
D)
7x =5(x +20); 50
Solve the problem.
68)
2x +43
3x +10
68)
A)
109°
B)
25.4°
C)
33°
D)
123°
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
69)
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 $53 under this promotional deal, how many minutes of phone
calls did he make? Round to the nearest integer, if necessary.
69)
A)
8
B)
2
C)
760
D)
1360
70)
At the beginning of the year, the odometer on an SUV read 37,305 miles. At the end of the year, it
read 53,385 miles. If the car averaged 24 miles per gallon, how many gallons of gasoline did it use
during the year?
70)
A)
670 gallons
B)
67 gallons
C)
385,920 gallons
D)
16,080 gallons
71)
Alexander and Judy are 30 miles apart on a calm lake paddling toward each other. Alexander
paddles at 4 miles per hour, while Judy paddles at 7 miles per hour. How long will it take them to
meet?
71)
A)
19 hours
B)
2.7 hours
C)
10 hours
D)
2.3 hours
72)
Two friends decide to meet in Chicago to attend a Cubs baseball game. Rob travels 224 miles in the
same time that Carl travels 196 miles. Rob’s trip uses more interstate highways and he can average
7 mph more than Carl. What is Rob‘s average speed?
72)
A)
52 mph
B)
60 mph
C)
56 mph
D)
49 mph
Write an equation to represent the problem.
73)
Markus Lawson is 3 years older than three times Pam Lincoln’s age. The sum of their ages is 75. Let
a represent Pam’s age.
73)
A)
a + (a + 33) =75
B)
a – (3a +3) =75
C)
a + (3a +3) =75
D)
a + (3a –3) =75
Express the statement as an algebraic expression.
74)
Alexander is t years old. Write an expression that represents Chandler‘s age if he is 5 times as old as
Alexander.
74)
A)
5+ t
B)
5t
C)
5t + t
D)
5
t
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
75)
A 12–ft. board is cut into 2 pieces so that one piece is 8 feet longer than 3 times the shorter piece. If
the shorter piece is x feet long, find the lengths of both pieces.
75)
A)
shorter piece: 28 ft; longer piece: 36 ft
B)
shorter piece: 24 ft; longer piece: 44 ft
C)
shorter piece: 6 ft; longer piece: 36 ft
D)
shorter piece: 1 ft; longer piece: 11 ft
Express the statement as an algebraic expression.
76)
Sam Roberts used to type p words per minute. After taking an advanced typing course, his speed
increased by 40 words per minute. Write an expression that represents his new typing speed.
76)
A)
40p + p
B)
40p
C)
40
p
D)
p +40
Select a variable to represent one quantity and state what that variable represents. Express the second quantity in terms of
the variable selected.
77)
The average time it takes to get through a check–out line at a large wholesale club is 6 minutes
more than 4 times the time it takes to get through a check–out line at a small grocery store, s.
77)
A)
let s = time at small store, then (6+4)s = time at large club
B)
let s = time at small store, then 6·4+ s = time at large club
C)
let s = time at small store, then 6s +4= time at large club
D)
let s = time at small store, then 4s +6= time at large club
Write an equation to represent the problem.
78)
The difference of twice a number and 6 is 14.
78)
A)
2x –6=14
B)
x – 2 ·6=14
C)
6– 2x =14
D)
2x +6=14
Write the indicated expression.
79)
Keerti found that he had y dimes in his pocket. Write an expression that represents this quantity of
money in cents.
79)
A)
10y
B)
y +10
C)
10
y
D)
y
10
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
80)
A couch sells for $1040. Instead of paying the total amount at the time of purchase, the same couch
can be bought by paying $300 down and $70 a month for 12 months. How much is saved by paying
the total amount at the time of purchase?
80)
A)
$200
B)
$100
C)
$870
D)
$10
81)
Mary and her brother John collect foreign coins. Mary has twice the number of coins that John has.
Together they have 120 foreign coins. Find how many coins Mary has.
81)
A)
80 coins
B)
72 coins
C)
40 coins
D)
16 coins
Solve the problem.
82)
The measure of one angle of a quadrilateral is three times the smallest angle; the third angle is 20°
greater than the smallest angle; and the fourth angle is 45° less than twice the second angle.
82)
A)
angle 1 =48.1°; angle 2 =96.3°; angle 3 =68.1°; angle 4 =147.5°
B)
angle 1 =42.8°; angle 2 =128.3°; angle 3 =148.3°; angle 4 =40.6°
C)
angle 1 =55°; angle 2 =165°; angle 3 =75°; angle 4 =65°
D)
angle 1 =35°; angle 2 =105°; angle 3 =55°; angle 4 =165°
Express the statement as an algebraic expression.
83)
One–fifth the height , y
83)
A)
5y
B)
1
5y
C)
5
1y
D)
1
5
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
84)
Train A leaves a station traveling at 32 km/h. Two hours later, train B leaves the same station
traveling in the same direction at 52 km/h. How long does it takes train B to catch up to train A?
84)
A)
3.2 hours
B)
2.2 hours
C)
5.2 hours
D)
4.2 hours
85)
Inclusive of a 7.2% sales tax, a diamond ring sold for $3216.00. Find the price of the ring before the
tax was added. (Round to the nearest cent, if necessary.)
85)
A)
$231.55
B)
$3447.55
C)
$2984.45
D)
$3000
86)
After a 17% price reduction, a boat sold for $24,070. What was the boat’s price before the reduction?
(Round to the nearest cent, if necessary.)
86)
A)
$28,161.90
B)
$4091.90
C)
$141,588.24
D)
$29,000
87)
Ming got a 5% raise in her salary from last year. This year she is earning $36,750. How much did
she make last year?
87)
A)
$35,000
B)
$7350
C)
$1750
D)
$183,750
88)
Seven more than six times a number is that number increased by 28.
88)
A)
6(x +7) = x +28;– 49
5
B)
6x +7=28x; 7
17
C)
6x –7= x +28; 7
D)
6x +7= x +28;21
5
89)
City A has an elevation of 12,356 feet above sea level while city B has an elevation of 17,114 feet
below sea level. How much higher is City A than City B?
89)
A)
4858 ft.
B)
4758 ft.
C)
29,470 ft.
D)
29,570 ft.
90)
Janel Leith drives her moped for a number of hours at 30 miles per hour. When traffic slows, she
drives at 20 miles per hour. She travels at 20 miles per hour for one–half hour longer than she
traveled at 30 miles per hour. The difference in the distance traveled at 20 mph and 30 mph is 10
miles. Determine how long Janel traveled at 20 miles per hour.
90)
A)
1 hr
B)
0.5 hr
C)
0.67 hr
D)
2 hr
Express the statement as an algebraic expression.
91)
Two kilometers less than 1
4 the distance, d
91)
A)
2–1
4d
B)
1
4d –2
C)
1
4–2
D)
1
4d +2
Set up an equation that can be used to solve the problem. Solve the equation and answer the question asked.
92)
A car rental agency charges $175 per week plus $0.10 per mile to rent a car. How many miles can
you travel in one week for $195?
92)
A)
200 miles
B)
194.5 miles
C)
175 miles
D)
1950 miles
93)
To make each Martini at the Faculty Holiday Party, Prof. Smith mixes 3 ounces of vodka and 1
ounce of dry Vermouth. If the vodka is 25% alcohol by volume and the Vermouth is 15% alcohol by
volume, what is the percentage of alcohol in each Martini?
93)
A)
20%
B)
22.5%
C)
10%
D)
40%
Answer Key
Testname: C3
Answer Key
Testname: C3