n Algebra, a term, or monomial, is comprised of a combination of one to three of the following: numbers, variables, and exponents. In Algebraic expressions and equations, terms are separated by addition and subtraction signs.

* Numbers: Constant, known quantities that remain fixed.
Examples: 100, 23, -157, π
* Variables: Symbols that represent unknown quantities.
Examples: θ, x, y, and any other letter of the alphabet
* Exponents: A known or unknown quantity that raises a base to a given power. Examples: x2 (the 2 is the exponent, x is the base); abx(the x is the exponent, b is the base); eu (the u is the exponent) Each monomial has a coefficient, which is the number that is multiplied by the other elements of the term.

Quick tip for finding the coefficient: It’s usually the number at the beginning of the monomial. Examples of Monomials
1. 15xyz
Coefficient: 15
2. -b2
Coefficient: -1 because -b2 is the same as -1b2
3. 21pq3
Coefficient: 21
4. 4ac
Coefficient: 4
When monomials, or terms, share the same variable and same exponent, they are like terms. Note: Like terms don't have to share the same coefficient. Like Terms Practice #1
Find the like terms in the following expression:
x + 2y + 3y + 3x + 15y
Answers:
x and 3x are like terms.
2y, 3y, and 15y are like terms.
Like Terms Practice #2
Find the like terms in the following expression:
x + -x2 + - x3 + y2 - y + 4y4
None of these terms are alike because of different variables and exponents. Combining Like Terms
When combining like terms, or adding and subtracting monomials, remember that the variables and exponents must be the same. I love shopping at the grocery store in the summer because of the delectable fruit. Below is a depiction of how I tally the peaches and plums that I buy. * 6 peaches + 5 peaches = 11 peaches

* 16 plums + 5 plums = 21 plums
* 6 peaches + 5 plums = 6 peaches + 5 plums
Notice that 6 peaches plus 5 plums does not equal 11...

...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...

...Review of Algebra
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REVIEW OF ALGEBRA
Review of Algebra
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Here we review the basic rules and procedures of algebra that you need to know in order to be successful in calculus.
Arithmetic Operations
The real numbers have the following properties: a b b a ab a b c a b ab c ab ac In particular, putting a b and so b c b c ba c (Commutative Law)...

...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...

...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...

...algebraic expression, given that x= -1, y=3, z=2, a =1/2, b= -2/3.
a) b) c)
2) Determine the degree of each of the following polynomials.
a) b) c)
3) Remove the symbols of grouping and simplify the resulting expressions by combining like terms.
a) (x + 3y – z) – (2y – x +3z) + (4z – 3x +2y)
b)
c) 3 – {2x – [1 –(x +y)] + [x – 2y]}
4) Add the algebraic expressions in each of the following groups.
a)
b)
5) Subtract the algebraic...

...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 species even consist of a vertebral column in their composition. Invertebrates generally...

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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...

...ALGEBRA
In all three of these problems there is use of all of the terms required: simplify, like terms, coefficient, distribution, and removing parentheses. There is also use with the real number properties of the commutative property of addition and the commutative property of multiplication. In what ways are the properties of real numbers useful for simplifying algebraic expression? The properties are useful for identifying what should go...