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Name
Date
MTH156
Test 4
Chapter 6&7
20 problems – 5 points each
100 points possible
Solve all problems and attach your solutions document in your Individual Forum
(IF). Remember to show all steps and check your work carefully.
Correct
Solution?
Y
Y
N
N
Appropriate Steps
Shown?
Y
N
Y
N
Credit Earned per Problem
Full Credit
Partial Credit
Partial Credit
No Credit
Grading Comments
Write the number in scientific notation.
1.
5, 961,000,000
Answer: 5.961 x 109
Write the fraction as a terminating decimal.
2.
Answer: 0.9375
3.
4.
Arrange the fractions in ascending order. Or, if the fractions are
equivalent, answer "Equivalent".
1 12
 ,
2 17
Answer: -12/17, -1/2
Write the number in scientific notation.
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MTH156 Test 4
Page 1 of 6
0.000 209
Answer: 2.09x 10-4
Add.
5.
13 4
 = 65/70 + 56/70=121/70
14 5
Answer: 121/70
6.
Complete the table so that the ratios will all be equivalent to (some
values may not be whole numbers). Express your answers as integers or
decimals rounded to one decimal place.
x
y
3
8
9
24
10.5
28
15
40
1.5
4
13.5
36
Which is the best investment for three consecutive years?
7.
a. A growth of 5% followed by a growth of 10% followed by a growth
of 15%
b. A growth of 15% followed by a growth of 10% followed by a
growth of 5%
c. Three years of growth at 10% per year.
a) 1.05*1.1*1.15=1.32825
b) 1.15*1.1*1.05=1.32825
c) 1.13=1.331
Answer: c
Solve the proportion.
8.
1 r

2 17
Answer: r=17/2=8.5
9.
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MTH156 Test 4
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Perform the indicated operation.
4
5
1
14  2  20 =(14+2+20)+(4+5+1)/7=36+10/7=36+1+3/7
7
7
7
3
Answer: 37
7
Solve the proportion.
5
9

then: 5(x+8)=9x then 5x+40=9x
10.
x x8
then: 4x=40 then: x=40/4=10
Answer: x=10
Write the numbers in order of increasing size.
5
4
11. 2.25, 2 , 2.52, 2
8
9
4
5
Answer: 2.25, 2 , 2.52, 2
9
8
Real World Applications
Solve the problem.
A land developer wants to develop 20 acres of land. Each lot in the
4
development is to be
of an acre. How many lots will the land
5
12.
developer have in the 20 acres?
20/(4/5)=20*5/4=25
Answer: 25 lots
Solve the problem. If the answer is an amount of money, round to
the nearest dollar.
13.
The Perrones have saved $20,000 for a down payment. If an 18% down
payment is required, what price house can they buy?
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MTH156 Test 4
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Let x the price of the house then: 0.18x=20,000
Then: x=20,000/0.18=111,111.11
Answer: $111,111
Use a proportion to solve the problem. Round answers to the nearest
tenth if necessary.
14.
The 18th hole at the Riverwoods Golf Course is 441 yards long. How
long would it be on a model with a scale of 2.5 inches to 100 yards?
100/2.5=441/x then: 100x=2.5*441=1,102.5
100x=1,102.5
x=1,102.5/100=11.025
Answer: 11.0 inches
Solve the problem.
A small company sells stock for 10
1
dollars per share. How much 128
4
15. will shares cost?
128*(10 ¼)=1280+32=1312
Answer: 1312 dollars
Solve the problem.
16.
May planted 156 tulip bulbs in 6 hours and June planted 120 in 5 hours.
Compare the ratios. Which person planted the most per hour? How many
per hour?
156/6 =26
120/5=24
First ratio =26>24= second ratio
June planted the most per hour (26 per hour)
Solve the problem.
17.
1
Annie must send two packages. One of the packages weighs 11 lb and
8
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MTH156 Test 4
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the other weighs 9
1
lb What is the total weight of the two packages?
5
11 1/8+ 9 1/5 = 11+9+1/8+1/5=20+5/40+8/40=20+13/40
Answer: 20 13/40 lb
Solve the problem.
On a certain map, 1 inch equals 32 miles. How many miles are in 2
1
4
18. inches?
32/1 = x/(2+ ¼)
x=32(2+1/4)=32(9/4)=72
Answer: 72 miles
Solve the problem.
The floor of a rectangular room is to be tiled with
along a 10
19.
1
foot square tiles
3
5
foot wall. How many tiles will be needed along the wall?
8
(10 5/8)/(1/3)= 3(10+5/8)=30+15/8 = 31+7/8
Answer: We need 32 tiles
Solve the problem.
June wants to work for 15
20.
has already worked 8
1
hours at her part-time job this week. She
2
3
hours. How many more hours does she need to
4
work?
(15 ½)-(8 ¾)= 15-8+1/2-3/4=7-1/4=6 ¾
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MTH156 Test 4
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Answer: 6 ¾ hours
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MTH156 Test 4
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