1) Evaluate each 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 expressions in each of the following groups. a)
b)

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

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

...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...

...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 where and with what, to make it...

...Pre-Calculus—Prerequisite Knowledge &Skills
III. Polynomials
A. Exponents
The expression bn is called a power or an exponential expression.
This is read “b to the nth power”
The b is the base, and the small raised symbol n is called the exponent.
The exponent indicates the number of times the base occurs as a factor.
Examples—Express each of the following using exponents.
a. 5 x 5 x 5 x 5 x 5 x 5 x 5 =
b. 8 x 8 x 8 x 8 x 8 x...

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Solving Proportions
Intermediate Algebra
Math 222
Professor Wick
February 9, 2013
For this week’s assignment we had to solve problem 56 on page number 437. This particular question is about solving a proportion. Proportions are any statement expressing the equality of two ratios. The proportion can be written out as a/b = c/d . In any proportion the numbers in the positions of a and d shown here are called the extremes. The numbers in the...

...HISTORY OF ALGEBRAAlgebra may divided into "classical algebra" (equation solving or "find the unknown number" problems) and "abstract algebra", also called "modern algebra" (the study of groups, rings, and fields). Classical algebra has been developed over a period of 4000 years. Abstract algebra has only appeared in the last 200 years.
The development of algebra is outlined in...

...business matters easier. When an individual wants to learn about investing or saving, polynomials will be an easy way to receive the exact amount time and what you will need to reach your goals. Until this class, I would have never known how important algebra can be to one’s daily life. Once I began the logics it began to make sense. Now I plan to use this formula normally from this day forward....

...Unlike geometry, algebra was not developed in Europe. Algebra was actually discovered (or developed) in the Arab countries along side geometry. Many mathematicians worked and developed the system of math to be known as the algebra of today. European countries did not obtain information on algebra until relatively later years of the 12th century. After algebra was discovered in Europe, mathematicians put the information...

...
Algebra 1
Schools in California now have higher expectations to make it necessary for students to take a Algebra 1 course in order to graduate from high school. This requirement issues that it will help students achieve higher expectations and great problem solving skills in future references. People like Mitchell Rosen a licensed family counselor who also disagrees with having Algebra 1 be a requirement for high schools. In one of Rosens...