6.5
Step 1:
Pick a friend or family member to be the character of your word problem. This friend or family member may do one of the following: * Drive a boat
* Drive a jet ski
Step 2:
Select a current speed of the water in mph.
Step 3:
Select the number of hours (be reasonable please) that your friend or family member drove the boat or jets ski against the current speed you chose in step 2. Step 4:
Select the number of hours that your friend or family member made the same trip with the current (this should be a smaller number, as your friend or family member will be traveling with the current). Step 5:

Write out the word problem you created and calculate how fast your friend or family member was traveling in still water. Round your answer to the nearest mph. 6.5
Solve each of the following problems using a system of equations. Show all of your work and state your solution in a complete sentence. 1. Tony and Belinda have a combined age of 56. Belinda is 8 more than twice Tony’s age. How old is each? (2 points) *

2. Salisbury High School decided to take their students on a field trip to a theme park. A total of 150 people went on the trip. Adults pay $45.00 for a ticket and students pay $28.50 for a ticket. How many students and how many adults went to the park if they paid a total of $4770? (2 points) 3. Your piggy bank has a total of 46 coins in it; some are dimes and some are quarters. If you have a total of $7.00, how many quarters and how many dimes do you have? (2 points) 4. Follow the 5 steps below to complete this problem. (4 points) 6.7

Whether you are doing this activity with a family member or friend, or collaboratively with another student, you will submit the following to your instructor as assignment “06.07 Algebracaching": 1. Your system of inequalities, the graph, and hidden treasure point. 2. The step by step directions you provided your partner to graph the system of inequalities. 3. The...

...Cami Petrides
Mrs. Babich
Algebra Period 4
April 1, 2014
Extra Credit Project
12. When you flip a light switch, the light seems to come on almost immediately, giving the impression that the electrons in the wiring move very rapidly.
Part A: In reality, the individual electrons in a wire move very slowly through wires. A typical speed for an electron in a battery circuit is 5.0x10 to the -4th meters per second. How long does it take an electron moving at that speed to travel a wire 1.0 centimeter, or 1.0x10 to the -2nd?
Part B: Electrons move quickly through wires, but electric energy does. It moves at almost the speed of light, 3.0x10 to the 8th meters per second. How long would it take to travel 1.0 centimeters at the speed of light?
Part C: Electrons in an ordinary flashlight can travel a total distance of only several centimeters .suppose the distance an electron can travel in a flashlight circuit is 15 centimeters, or 1.5x10 to the -1st meter. The circumference of the earth is about 4.0x10 to the 7th meters. How many trips around the earth could a pulse of electric energy make at the speed of light in the same time an electron could travel through 15 centimeters of a battery circuit in 5.0x10 to the -4th meters per second?
For part A, the first step is to put (5.0) to the 10th to the -4th. The numerator would be (0.00050) if someone were trying to put 5.0x10 to the -4th in the form it’s supposed to be in. For the second scientific...

...Chapter Review
13–61 (Odds Only) on pp. 223–226
Solve each inequality. Graph your solutions.
13. w + 3 > 9
W + 3 – 3 > 9 – 3
W > 6
15. -4 < t + 8
-4 – 8 < t + 8 – 8
t > -12
17. 22.3 ≤ 13.7 + h
22.3 – 13.7 ≤ 13.7 – 13.7 + h
h ≥ 8.6
19. You have at most $15.00 to spend. You want to buy a used CD that costs $4.25. Write and solve an inequality to find the possible additional amounts you can spend.
a = Additional funds you can spend.
a ≤ 15 – 4.25
21. -6t > 18
-6t-6 > 18-6
t < -3
23. - h4 < 6
- h4 × -4 < 6 × -4
h > -24
25. - 35n ≥ - 9
- 35n ÷ - 35 ≥ - 9 ÷ - 35
n ≤ 15
27. -17.1m < 23.8
-17.1m ÷ -17.1 < 23.8 ÷ -17.1
m > 1.392
Solve each inequality.
29. 4k – 1 ≥ -3
4k – 1 + 1≥ -3 + 1
4k4 ≥ -24
k ≥ -0.5
31. 3t > 5t + 12
3t – 5t > 5t – 5t + 12
-2t-2 > 12-2
t < -6
33. 4 + x2 > 2x
4 + x2 × 2 > 2x × 2
4 + x - x > 4x – x
43 > 3x3
1.33 > x
35. 13.5a + 7.4 ≤ 85.7
13.5a + 7.4 – 7.4 ≤ 85.7 – 7.4
13.5a13.5 ≤ 78.313.5
a ≤ 5.8
37. A salesperson earns $200 per week plus a commission equal to 4% of her sales. This week her goal is to earn no less than $450. Write and solve an inequality to find the amount of sales she must have to reach her goal.
200 + .04s ≥ 450
200 – 200 + .04s ≥ 450 -200
.04s.04 ≥ 250.04
s ≥ $6,250
41. Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} and B = {2, 4, 6, 8}. What is B’?
B’ = {1, 3, 5, 7}
Solve each compound inequality.
43. 0 < -8b ≥ -6.3
0-8 < -8b-8 ≥ -6.3-8
0 > b ≤ .7875
45. 5m < -10 or...

...Name/Student Number:
Algebra 2 Final Exam
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Simplify the trigonometric expression.
1.
a.
b.
c.
d.
Answer B
In , is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth.
2.
a = 3, c = 19
a.
= 9.1°, = 80.9°, b = 18.8
c.
= 14.5°, = 75.5°, b = 18.8
b.
= 80.9°, = 9.1°, b = 18.8
d.
= 75.5°, = 14.5°, b = 18.8
Answer A
3.
What is the simplified form of sin(x + p)?
a.
cos x
b.
sin x
c.
–sin x
d.
–cos x
Answer C
Rewrite the expression as a trigonometric function of a single angle measure.
4.
a.
b.
c.
d.
Answer A
Short Answer
5.
Consider the sequence 1, , , , ,...
a.
Describe the pattern formed in the sequence.
b.
Find the next three terms.
6.
Consider the sequence 16, –8, 4, –2, 1, ...
a.
Describe the pattern formed in the sequence.
b.
Find the next three terms.
7.
Consider the graph of the cosine function shown below.
a. Find the period and amplitude of the cosine function.
b. At what values of for do the maximum value(s), minimum values(s), and zeros occur?
Verify the identity. Justify each step.
8.
sinΘ/cosΘ+cosΘ/sinΘ
sin^20+cos^2Θ/sinΘcosΘ
1/sinΘcosΘ
9.
Verify the identity...

...Algebra is a way of working with numbers and signs to answer a mathematical problem (a question using numbers)
As a single word, "algebra" can mean[1]:
* Use of letters and symbols to represent values and their relations, especially for solving equations. This is also called "Elementary algebra". Historically, this was the meaning in pure mathematics too, like seen in "fundamental theorem of algebra", but not now.
* In modern pure mathematics,
* a major branch of mathematics which studies relations and operations. It's sometimes called abstract algebra, or "modern algebra" to distinguish it from elementary algebra.
* a mathematical structure as a "linear" ring, is also called "algebra," or sometimes "algebra over a field", to distinguish it from its generalizations.
A variable is a letter or symbol that takes place of a number in Algebra. Common symbols used are a, x, y, θ, and λ. The letters x and y are commonly used, but remember that any other symbols would work just as well.
Variables are used in algebra as placeholders for unknown numbers. If you see "3 + x", don't panic! All this means is that we are adding a number who's value we don't yet know.
Term: A term is a number or a variable or the product of a number and a variable(s).
An expression is two or more terms, with operations...

...Animal Kingdom
The animal kingdom is a taxonomic kingdom composed of multicellular, eukaryotic organisms. Mostly, their body structures become fixed as they develop, yet still some organisms in this kingdom have the ability to undergo metamorphosis. The majority of these organisms are motile, which means they can move on their own and with spontaneity. All animals are heterotrophic, which implies that they depend on other organisms for food. Animals live in places that provide their necessities to survive, called habitats. These basic necessities include food, water, protection from the environment, and appropriate space. In accordance with these necessities, there are a number of survival techniques used by organisms in this kingdom. These techniques can fall within the category of adaptations, which help these organisms adapt to various habitats. This kingdom falls in the domain Eukaryota, and there are nearly 40 different phyla that can be classified under the Kingdom Anamalia. Besides that there are 5 other lower levels in which these organisms can be classified, called class, order, family, genus and species. .
Invertebrates
Invertebrates are apart of the Animal Kingdom and are characterized by their inability to possess or develop a vertebral column. In the world of taxonomy, the word invertebrate is merely a convenient term used to help with this characterization. A great majority of the animal kingdom are invertebrates due to the fact that only 4% of animal...

...
Name: _________________________
Score: ______ / ______
AlgebraI Quarter 1 Exam
Answer the questions below. Make sure to show your work when applicable.
Solve the absolute value equation. Check your solutions.
| 5x + 13| = –7
5x + 13 = -7
5x = -20
X = -4
Simplify the expression below.
6n2 - 5n2 + 7n2
6 – 5 + 7 = 8
=8n2
The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Write an equation that models the cost of each bracelet.
8 x + 6 = 54 $8.00 each bracelets
The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Determine the cost for each bracelet. Show your work
8x+6 =54
8x=54-6
8x = 48
X = 6
Solve the inequality. Show your work.
6y – 8 ≤ 10
5. 6y – 8 ≤ 10
6y ≤ 10 +8
6y ≤ 18
y ≤ 18/6
=y ≤ 3
The figures above are similar. Find the missing length. Show your work.
x = 1.8 in
What is 30% of 70? Show your work.
30 divied by100 = .30
70 times 0.3(30% as a decimal) which will be 21
=21
Simplify the expression below.
-5-8
(16x9)/(21x8)=144/168 divided by 12=12/14=6/7
8. 6/7
Which property is illustrated by 6 x 5 = 5 x 6?
commutative property of multiplication
Evaluate the expression for the given values of the variables. Show your work.
4t + 2u2 – u3; t = 2 and u = 1
4t + 2u2 – u3; t = 2 and u = 1
4 (2) + 2 (1) 2 – (1) 3
8 + 2 – 1 = 1...

...
Algebra
From Wikipedia, the free encyclopedia
"Algebraist" redirects here. For the novel by Iain M. Banks, see The Algebraist.
For beginner's introduction to algebra, see Wikibooks: Algebra.
Page semi-protected
The quadratic formula expresses the solution of the degree two equation ax^2 + bx +c=0 in terms of its coefficients a, b, c.
Algebra (from Arabic al-jebr meaning "reunion of broken parts"[1]) is one of the broad parts of mathematics, together with number theory, geometry and analysis. As such, it includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra, the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians. Much early work in algebra, as the origin of its name suggests, was done in the Near East, by such mathematicians as Omar Khayyam (1050-1123).
Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on...

...can refer to us. If we don’t have a telephone, it’s too inconvenient. We can’t talk to people who live a long distance from our house, even in the same town. If we don’t have a TV or radio, we can’t get exact information about the world. If we don’t have a car, we can’t go too far. It’s so inconvenient, especially in the USA. However, the most important thing for me is the airplane. If we didn’t have airplanes, I couldn’t come to this ELC and I couldn’t write this composition. These are just example I imagine. I can present more examples if I want. Therefore, we have to keep company with technology in a good way to save the environment, many creatures, and, of course, the earth itself.
Everyone has seen the moody, withdrawn kid with music blasting out of his white earbuds, or the girl rapidly texting on her phone. The youth of today are constantly immersed in technological advancements that promote nonstop communication and instant gratification, whether through cell phones, gaming systems, laptops, or MP3 players. But are these technological advancements a good thing? I believe that the growth of technology has negatively influenced the social interactions of today's youth because it isolates individuals from reality, hinders communication, and perpetuates the concept of immediate satisfaction.
In the current time people can't imagine their life without technology. Surrounding us...