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Sophia College Algebra 1. PERFORMING OPERATIONS WITH REAL NUMBERS | MILESTONE 1
Sophia College Algebra 1. PERFORMING OPERATIONS WITH REAL NUMBERS | MILESTONE 1 
 
 
You passed this Milestone 
18 questions were answered correctly. 3 questions were answered incorrectly. 
 	1	 
The Elster family drove 9.25 hours on the first day of their road trip. 
How many minutes is this equivalent to? 
 
 	9,256 minutes	 
 
 	33,300 minutes	 
 	555 minutes	 154 minutes	 
RATIONALE 
	In general, we use conversion factors to convert from one unit to another. A conversion factor is a frac...
- Exam (elaborations)
- • 24 pages •
Sophia College Algebra 1. PERFORMING OPERATIONS WITH REAL NUMBERS | MILESTONE 1 
 
 
You passed this Milestone 
18 questions were answered correctly. 3 questions were answered incorrectly. 
 	1	 
The Elster family drove 9.25 hours on the first day of their road trip. 
How many minutes is this equivalent to? 
 
 	9,256 minutes	 
 
 	33,300 minutes	 
 	555 minutes	 154 minutes	 
RATIONALE 
	In general, we use conversion factors to convert from one unit to another. A conversion factor is a frac...
College Algebra Unit 4 - Milestone 4 with answers and rationale
College Algebra Unit 4 - Milestone 4 with answers and rationale 
 
18 questions were answered correctly. 2 questions were answered incorrectly. 1 
 
Angela is an electrical engineer who is testing the voltage of a circuit given a certain current and resistance. She uses the following formula to calculate voltage: 
 
The circuit she tests has a current of amps and a resistance of ohms. 
What is the voltage of the circuit? 
• 
 
 
• 
 
 
• 
 
 
• 
 
 
RATIONALE 
 
The voltage of t...
- Exam (elaborations)
- • 53 pages •
College Algebra Unit 4 - Milestone 4 with answers and rationale 
 
18 questions were answered correctly. 2 questions were answered incorrectly. 1 
 
Angela is an electrical engineer who is testing the voltage of a circuit given a certain current and resistance. She uses the following formula to calculate voltage: 
 
The circuit she tests has a current of amps and a resistance of ohms. 
What is the voltage of the circuit? 
• 
 
 
• 
 
 
• 
 
 
• 
 
 
RATIONALE 
 
The voltage of t...
Sophia College Algebra Milestone 5.
Sophia College Algebra Milestone 5. 
 
 
 
 
 
 
 
 
 
 
 
Score 19/22 
 
 
 
 
You passed this Milestone 
19 questions were answered correctly. 
3UquNestiIonTs we5re a—nswerMed inIcLorrEectSly.TONE 5 
Susan monitors the number of strep infections reported in a certain neighborhood in a given week. The recent numbers are shown in this table: 
 
Week Number of People 
0	20 
1	26 
2	34 
3	44 
 
 
According to her reports, the reported infections are growing at a rate of 30%. 
 
If the number of ...
- Exam (elaborations)
- • 43 pages •
Sophia College Algebra Milestone 5. 
 
 
 
 
 
 
 
 
 
 
 
Score 19/22 
 
 
 
 
You passed this Milestone 
19 questions were answered correctly. 
3UquNestiIonTs we5re a—nswerMed inIcLorrEectSly.TONE 5 
Susan monitors the number of strep infections reported in a certain neighborhood in a given week. The recent numbers are shown in this table: 
 
Week Number of People 
0	20 
1	26 
2	34 
3	44 
 
 
According to her reports, the reported infections are growing at a rate of 30%. 
 
If the number of ...
Sophia College Algebra Unit 5 Challenge 3
Sophia College Algebra Unit 5 Challenge 3
- Exam (elaborations)
- • 9 pages •
Sophia College Algebra Unit 5 Challenge 3
Sophia MM212 Unit 2 College Algebra Milestone
Sophia MM212 
Unit 2 College Algebra Milestone 19/20 that's 95% 
Well done! If you keep getting Milestone scores like this you'll pass the course. 
19 questions were answered correctly. 
1 question was answered incorrectly. 
 	1	 
Rob paid $50.15 for two pairs of jeans, which include a 15% discount. 
 
What was the price of one pair of jeans before the discount was added? 
 
• 
$167.17 
• 
$21.80 
• 
$59.00 
• 
$29.50 
RATIONALE
- Exam (elaborations)
- • 20 pages •
Sophia MM212 
Unit 2 College Algebra Milestone 19/20 that's 95% 
Well done! If you keep getting Milestone scores like this you'll pass the course. 
19 questions were answered correctly. 
1 question was answered incorrectly. 
 	1	 
Rob paid $50.15 for two pairs of jeans, which include a 15% discount. 
 
What was the price of one pair of jeans before the discount was added? 
 
• 
$167.17 
• 
$21.80 
• 
$59.00 
• 
$29.50 
RATIONALE
MATHEMATIC 107 Sophia College Algebra Unit 5 Milestone
MATHEMATIC 107 
Sophia College Algebra Unit 5 Milestone 
17/22 that's 77% 
Well done! If you keep getting Milestone scores like this you'll pass the course. 
17 questions were answered correctly. 
5 questions were answered incorrectly. 
 	1	 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
RATIONALE 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
CONCEPT
- Exam (elaborations)
- • 28 pages •
MATHEMATIC 107 
Sophia College Algebra Unit 5 Milestone 
17/22 that's 77% 
Well done! If you keep getting Milestone scores like this you'll pass the course. 
17 questions were answered correctly. 
5 questions were answered incorrectly. 
 	1	 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
RATIONALE 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
CONCEPT
MATH 110 – Module 1 (Book Exam) Limespring.com Questions 1-18
MATH 110 – Module 1 (Book Exam) L Questions 1-18
- Exam (elaborations)
- • 7 pages •
MATH 110 – Module 1 (Book Exam) L Questions 1-18
MATH 110 MODULE 3 EXAM
MATH 110 MODULE 3 EXAM 
 
Module 3 Exam 
Exam Page 1 
Suppose A and B are two events with probabilities: 
 
P(Ac )=.40,P(B)=.45,P(A∪B)=.60. 
 
 
Find the following: 
a)	P(A∩B). 
 
p(anb) = p(a) + p(b) - p(aub) p(a) = 1 - p(a^c) 
p(a^c) = 0.40 
1 - 0.40 = 0.60 
p(a) = 0.60 
 
 
0.60 + 0.45 - 0.60 = 0.45 
 
 
P(AnB) = 0.45 
 
b)	P(A). 
 
p(a) = 1 - p(a^c) p(a^c) = 0.40 
 
1 - 0.40 = 0.60 
 
 
P(A) = 0.60 
 
c)	P(Bc). 
 
p(b) = 1 - p(b^c) 
rearranged to find p(b^c) = 1 - p(b) 
 
 
1 - 0.45 = 0....
- Exam (elaborations)
- • 10 pages •
MATH 110 MODULE 3 EXAM 
 
Module 3 Exam 
Exam Page 1 
Suppose A and B are two events with probabilities: 
 
P(Ac )=.40,P(B)=.45,P(A∪B)=.60. 
 
 
Find the following: 
a)	P(A∩B). 
 
p(anb) = p(a) + p(b) - p(aub) p(a) = 1 - p(a^c) 
p(a^c) = 0.40 
1 - 0.40 = 0.60 
p(a) = 0.60 
 
 
0.60 + 0.45 - 0.60 = 0.45 
 
 
P(AnB) = 0.45 
 
b)	P(A). 
 
p(a) = 1 - p(a^c) p(a^c) = 0.40 
 
1 - 0.40 = 0.60 
 
 
P(A) = 0.60 
 
c)	P(Bc). 
 
p(b) = 1 - p(b^c) 
rearranged to find p(b^c) = 1 - p(b) 
 
 
1 - 0.45 = 0....
CHAPTER 3 MATH 110| PORTAGE LEARNING
CHAPTER 3 MATH 110| PORTAGE LEARNING 
 
 
Chapter 3 math 110
- Exam (elaborations)
- • 8 pages •
CHAPTER 3 MATH 110| PORTAGE LEARNING 
 
 
Chapter 3 math 110
MATH 110 MODULE 7 EXAM. | PORTAGE LEARNING
MATH 110 MODULE 7 EXAM. | PORTAGE LEARNING 
 
Module 7 Exam
- Exam (elaborations)
- • 6 pages •
MATH 110 MODULE 7 EXAM. | PORTAGE LEARNING 
 
Module 7 Exam