Algebra is one of the most important subjects someone can learn. It is a subject that transfers into daily life, often without anyone even realizing it. Unlike English or History classes, Algebra can be put straight to use once learned. It is one of the most versatile subjects there is. Algebra can be anything from calculating the amount of money you've spent on your grocery shopping, keeping track of the calories you have in your diet, and designing structural plans for a building.

Going shopping and frequenting stores can often get out of hand and confusing as to how much things cost or to how much you saved on an item. Algebra can help you to configure all of these things and also save you from making any costly mistakes. Many items in grocery stores are often on sale at some point or another whether it be 10% percent to 50% and a lot of times people don't know how much they are saving on any particular item. Algebra simply allows a person to calculate all of these things.

Algebra is also a convenient skill to possess when it comes to dieting and recipes. Counting the number of carbohydrates or calories and keeping track of them can get overwhelming at times and a person can get confused. Algebra can help you to see how many calories you have had and also it can help you calculate how many you are able to have in the future. Cooking is also another skill that is associated with algebra. Adding and subtracting ingredients, figuring out the amount of time something has to cook, and also how to serve a food evenly all have to do with algebra.

Architecture is a skill that has a lot to do with numbers as well. It is very important to know exactly how long everything is, how much weight something can take, and the dimensions of every minute detail. If an architect doesn't know the answers to these, not only will the structure be wrong but the building could also be a safety hazard. Architects use algebra every single time...

...Tatenda Shumba
Shane Johnson
Per 4
Is algebra necessary?
Algebra is important to learn. But it is not necessary. Life existed before algebra was invented and could still continue without it. There are many applications of Algebra in real life situations. It is important to learn the basics, especially when it comes to money and finance. Many adults use the basics but not anything beyond, like if you were to go around and ask what is the quadratic equation not most adults would get it right. I think it is important to learn the basic but not necessary to learn anything beyond. The basics in algebra are included in real life situations such as:
When looking at time. When you're driving, looking at the speed, or estimating the time of arrival at a destination.
In chemistry, algebra can be used to calculate the quantity of a substance required in an experiment. Also, it is used to calculate the quantity of various substances formed in an experiment.
During the construction of buildings algebra can be used to formulate the various measurements of the building in a proper ratio
While reading the temperature in a thermometer, we can use this simple formula for converting °Celsius temperature into °Fahrenheit.
Example 1
When filling your car up with gas you can use a form of...

...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...

...walls, and because they are heterotrophic and multicellular. Their natural habitat is generally in saltwater, but about 1% of the live in freshwater areas. Sponges can be attached to surfaces near 8 kilometers deep in the ocean. There are a high number of these animals in the tropics due to their preference for warm water. Their bodies are made of three “layers” of cells. The innermost layer is made up of cells called choanocytes. These cells are used to propel water through the pores of the sponge and out of the sponge. The middle layer is made up of both skeletal cells for structural stability and mobile cells for transport. The outer layer of cells is made up of flattened cells and many pores. This body plan is designed especially for life in the ocean. Sponges obtain their food through a mechanism that traps the food particles suspended in water, as the numerous amounts of water pass through their bodies. They are generally omnivores, digesting whatever food particles it can trap, but there are some sponge species in the deep sea that are carnivorous.
Phylum Cnidaria
The phylum Cnidaria consists of animals that are found in aquatic and marine environments and the number of species under this phylum is in excess of 10,000. Their bodies are made of mesoglea, a “jelly-like” substance that is non-living, between two layers of epithelium that are generally one cell thick. There are two basic body forms that animal under this classification, the swimming...

...
Name: _________________________
Score: ______ / ______
Algebra I 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
Solve the...

...Algebra in Business and Science
Algebra is used repeatedly in business and science for professions ranging from accountants to astronomers and physicists.
The fundamental algebraic equation in accounting is assets = liabilities + capital. Accountants use this equation to balance the books. They also use algebra to calculate journal entries for interest payments and depreciation (Moore, n.d.). To analyze and work with numbers, accountants also need to understand positive and negative numbers, fractions and decimals.
Other businesses that use algebra include retail stores, car dealerships and restaurants to name just a few. Each of these types of businesses sells a product and needs to calculate percentage discounts, sales or meals tax and profit margins.
For science, algebra is used in astronomy, physics and chemistry. Astronomers and physicists use algebra to research and understand the universe. They observe, measure, interpret and develop theories to explain what is happening in the universe (US Bureau of Labor, 2009). One way that chemists use algebra is when mixing together chemicals. They need to calculate the correct amount of each substance to obtain the desired result.
Algebraic Concepts in Everyday Life
The following are examples that I learned from the course discussion board of different ways that algebra can solve...

...The CENTRE for EDUCATION in MATHEMATICS and COMPUTING
PATTERNING
AND
ALGEBRA: ALGEBRAIC EXPRESSIONS
This resource may be copied in its entirety, but is not to be used for commercial purposes without permission from the Centre for Education in Mathematics and Computing, University of Waterloo.
Play the Late Delivery game first! Levels 1 and 2 are recommended. Click on http://www.bbc.co.uk/education/mathsfile/shockwave/games/postie.html or go to www.wiredmath.ca for the link. 1. a. Write each of the following expression as a single number. i. 20 + 5 ii. 15 ÷ 3
iii. 11 × 9
b. For each question in (a) write 3 equivalent expressions using 3 different operations. 2. Match up the equivalent expressions below:
4+3 1+ 2 6×2+2 16 ÷ 2
55 − 52
2×2×2 49 ÷ 7 7×2
Did You Know?
A cheetah can run 76 km/h. The fastest human can only run about 37 km/h!
3.
The scale balances because the mass on the left side is equal to the mass on the right side. A number sentence can be written to describe the picture: 10 + 10 + 1 = 10 + 5 + 5 + 1 or 2 × 10 + 1 = 2 × 5 + 10 + 1 . a. Draw 3 different combinations of masses on a scale that would balance.
b. Write a number sentence to describe each of the 3 new combinations.
4.
a. Balance the scale using a combination of 10 g, 5 g and 1 g weights. Assume you have many different masses. Compare your solution with your classmates.
b. Write an equivalent expression, which is different than the masses...

...
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.
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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...

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