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MTH208 Week 2 Homework Assignment Quiz Solution Key

 

2.

True or False: –5 < –8

 

A)

True

 

B)

False

 

3.

Alexandra won $42 in prize money for baked goods she entered in her county fair. This was  the amount won by her younger brother Joel. Find the amount that Joel won.

 

A)

$42

 

B)

$35

 

C)

$40.80

 

D)

$28

 

4.

 Find the Fahrenheit temperature of hot coffee at 75oC by solving the equation 75 =  for F.

 

A)

167oF

 

B)

103oF

 

C)

73.7oF

 

D)

171oF

 

6.

Which of the following is the correct graph of the inequality x £ –2?

 

A)

 

 

B)

 

 

C)

 

 

D)

 

 

7.

Solve: –13y + 2 = –5 – 12y

 

A)

{–7}

 

B)

{7}

 

C)

{4}

 

D)

{–4}


 

9.

Holly paid 7% sales tax and a disposal charge of $16 when she bought new tires for her car.  The total cost was $259.96. If x represents the price of the new set of tires, then x satisfies x + 0.07x + 16 = 259.96. Find the price of her new set of tires.

 

A)

x = $61

 

B)

x = $228

 

C)

x = $220

 

D)

x = $176

 

10.

Solve:

 

A)

{4}

 

B)

{12}

 

C)

{–12}

 

D)

{0}

 

Week 2 Individual Assignment

Section 2.1 – Ex. 93

5a/7 = -10
5a = -70
a = -14

Section 2.1 – Ex. 96

1/2v = -1/2v + 3/8
v = 3/8

Section 2.2 – Ex. 79

7-3(5-u) = 5(u-4)
7-15+3u = 5u-20
3u = 5u-12
-2u = -12
u = 6

Section 2.2 – Ex. 87

4 – 2n/5 = 12
-2n/5 = 8
2n = -40
n = -20

Section 2.2 – Ex. 92

3(x-0.87)-2x = 4.98
3x-2.61-2x = 4.98
x = 2.37

Section 2.3 – Ex. 13

x/2 + x/3 = 20
3x/6 + 2x/6 = 20
5x/6 = 20
5x = 120
x = 24

Section 2.3 – Ex. 21

1/6v + 1 = 1/4v – 1
1/6v – 1/4v = -2
2/12v – 3/12v = -2
-1/12v = -2
v = 24

 

 

 

Section 2.3 – Ex. 29

0.1a – 0.3 = 0.2a -8.3
0.1a + 8 = 0.2a
8 = 0.1a
a = 80

Section 2.3 – Ex. 51

-3x + 1 = -1 – 2x
x = 2

Section 2.3 – Ex. 67

(3-3)(5-z) = 0
0(5-z) = 0
0 = 0
Identity

Section 2.4 – Ex. 31

3x + 2ab = 4x – 5ab
x = 7ab

Section 2.4 – Ex. 53

y-1/2 = ¼(x-1/2)
y-1/2 = 1/4x-1/8
y = -1/4x + 5/8

Section 2.4 – Ex. 61

n = 1, s = 1
n = 2, s = 3
n = 3, s = 6
n = 4, s = 10
n = 5, s = 15

Section 2.4 – Ex. 82

107,272 / 1.08
99325.93
The Hummer cost $99,325.93 after the 8% discount.

Section 2.6 Ex. 9

When solving a geometric problem you should draw a diagram and label it.

 

Learning Team Week 2 Assignment

Section 1.2 - Exercise 110

1/5 + 1/8 + 1/10
8/40 + 5/40 + 4/40
Municipal Bonds = 1 - 17/40
Municipal Bonds = 23/40 or %57.5

Helen has %57.5 or 23/40 of her portfolio invested in Municipal Bonds

Section 1.3 - Exercise 104

Assets - Liabilities = Net Worth

Melanie's Assets
House: 125,000
Savings: 21,236
Cars/Other: 15,000
Total: 161,236

Melanie's Liabilities
Mortgage: 78,422
Credit Card Debt: 9,477
Credit Union Debt: 6,131
Total: 94,030

161,236 - 94,030 = 67,206

Melanie's net worth is $67,206

Section 1.5 – Exercise 126

a)         106.5(1.0143)^11 = 124.5
Mexican population will grow to 124.5 Million in 2015.

b)         USA: 294.4(1.0105)^11 = 330.2 Million
330.2 – 294.4 = 35.8 million added to population

Mexico: 124.5 – 106.5 = 18 million added to population.

USA will have greater increase in population between 2004 and 2015.

 

 

 

Section 1.6 – Exercise 102

72.6 + 2.5T
72.6 + 2.5(32.4)
153.6

The estimated height of the female is 153.6 cm.

Section 1.6 – Exercise 106

Area = πr^2
Area = π12.5^2
Area = π 156.25
Area = 490.89

490.89 square meters of wheat were destroyed.

Section 1.7 – Exercise 106

1/0.016 = 62.5
1/0.025 = 40

40 + 62.5 = 102.5

When Susan and Joan are both working they recover 102.5 golf balls per hour.

Section 1.7 – Exercise 108

1 / 0.00876 = 114.2
24 x 114.2 = 2740.8

114.2 acres of farmland are decreasing per hour.

2,740.8 acres of farmland are decreasing per day.

Section 1.8 – Exercise 114

a)         .25x – 3190
b)         .25(40000) – 3190
10000 – 3190
6810

The amount of tax is $6,810.

c)         .25(80000) – 6380
20000 - 6380
13620 / 2
6,810

All tax payers will pay the same amount of $6,810.

Solve for the variable:

  1. 36  -9y = 3y
    36 = 12y 

y = 3

  1. 5x - 1/3 = 6x – ½

30x – 2 = 36x – 3
-6x = -1
x = 1/6

  1. x + 0.06x = 742

1.06x = 742
x = 700 

  1. x – 4 = -2/3 (y – 9)

x – 4 = -2/3y + 6 
x = -2/3y + 10

 

  1. 3x = 6/11

6/11 ÷ 3/1 
x = 2/11

 

  1. -3x – 4 = -2x + 8

-x = 12 
x = -12

  1. 15 – 4x = 7 – 2x

8 = 2x
x = 4

 

Solve for the variable and state the solution set in interval notation:

  1. 7 – 9p > 11 – 7p

-2p > 4           
p < -2
(-∞, -2)

Solve:

  1. Monica’s electrician left a bill for $385.  If the electrician charges $65 per hour plus $60 for the service call, how many hours did the electrician work?  

 

y = mx + b
385 = 65x + 60
325 = 65x
x = 5

The electrician worked for 5 hours.

  1. If 60% of the registered voters in a particular area voted in the last election, and 72000 votes were cast, how many registered voters are there?  

 

72000 / 60 = x / 40
60x = 2,880,000
x = 48000
48,000 + 72,000 = 120,000

 

There are 120,000 registered voters.

 

Helpful MTH/208 Week 1 and Algebra Help Links

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