TRANSLATING KEY WORDS AND PHRASES INTO ALGEBRAIC EXPRESSIONS The table below lists some key words and phrases that are used to describe common mathematical operations. To write algebraic expressions and equations, assign a variable to represent the unknown number. In the table below, the letter “x” is used to represent the unknown. In translation problems, the words sum, total, difference, product and quotient imply at least two parts – use parentheses when a sum or difference is multiplied. For example, the phrase "the sum of three times a number and five" translates to "3x + 5," while the phrase "three times the sum of a number and five" translates to "3(x + 5)." OPERATION Addition ( + ) KEY WORD/PHRASE plus more than the sum of the total of increased by added to Subtraction ( − )

EXAMPLE A number plus three Ten more than a number The sum of a number and five The total of six and some number A number increased by two Eleven added to a number A number minus seven Four less than a number The difference of a number and three Nine less a number A number decreased by twelve Six subtracted from a number Eight times a number The product of fourteen and a number Twice a number; double a number A number multiplied by negative six Three fourths of a number The quotient of a number and seven Ten divided by a number The ratio of a number to fifteen The square of a number; a number squared The cube of a number; a number cubed Seven less than a number equals ten. Three times a number is negative six. Eight is the same as twice a number. Twelve added to a number yields five. Nine less a number amounts to twenty.

TRANSLATION x+3 x + 10 x+5 6+x x+2 x + 11
X–7 X–4 X–3

minus less than the difference of less decreased by subtracted from

9–X
X – 12 X–6

Multiplication ( x )

times the product of twice; double multiplied by of

...TRANSLATE WORD SENTENCES INTO ALGEBRAICEXPRESSIONS
The following table lists the most common phrases and their translation.
|Operation |Words |Example of Phrase |Algebraic Sign |Algebraic |
| | |...

...In mathematics, an algebraicexpression is an expression built up from constants, variables, and a finite number of algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).[1] For example, is an algebraicexpression. Since taking the square root is the same as raising to the power ,
is also an algebraic...

...variable part is b3.
Like and unlike algebraic terms
Like algebraic terms are defined as those terms which are represented by the same algebraic symbol, regardless of the sign or the magnitude of their coefficients.
Thus 5x, –3x, [pic] and [pic] are like algebraic terms since they are all represented by the same symbol x.
Similarly 3a2 , –2a2, 0.4a2 and [pic]a2 are like terms.
Unlike algebraic terms are terms that...

...Subtraction and Addition of AlgebraicExpressions
Math 11
Objectives
The student should be able to:
Determine the degree of a polynomial
Identify the fundamental operations of polynomials
Definition of Terms
Algebraicexpression is an expression involving constants and or variable, with all or some of the algebraic operations of addition, subtraction, division and multiplication
Definition of...

...A L G E B R A spells algebra. Duh. ffffffffffffffffffhjhdfjj
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ffjddddddfffffffdssslkkkkkkkkkkkkkkkkkkkkkk
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fdsjzkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
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fg.zfgjkjgfkgjf;gjgjfkgjfgjfjg fkdgkfjgfgeuryfidfhfkjfpdfourtigf...

...Rational AlgebraicExpressions
4. Rational AlgebraicExpressions
Note You need to understand how to multiply algebraicexpressions using the distributive law before starting work on this tutorial. If you feel you need to review this, go back to 3. Multiplying and Factoring AlgebraicExpressions.
Q What is a Rational Expression?
Rational...

...Keywords
Chapter 1
1. Absolute price level : A measure of the overall level of prices in the economy.
2. Barriers to entry: Structural, legal, or regulatory characteristics of a firm and its market that keep other firms from easily producing the same or similar products at the same cost.
3. Fiscal policy: Changes in taxing and spending by the executive and legislative branches of a country’s national government that can be used to either stimulate or restrain...

...diameter of a circular park is 84 m. A 3.5 m vide road on the outside around it. Find the cost of constructing road @ Rs. 200 per m2.
*******
RYAN INTERNATIONAL SCHOOL - ROHINI
CLASS: VIII
WORK SHEET
ALZEBRAIC EXPRESSIONS
1. (2x + 5) (2x – 5) = ?
(a). (4x2 +25) (b). (4x2 – 25) (c). (4x2 -10x = 25) (d). (4x2 + 10x – 25)
2. (a -1) (a +1) (a2 +1) = ?
(a). (a4 -2a2 -1) (b) (a4 – a2-1) (c). (a4 -1) (d). (a4 +1)
3. ( x + 1/x) = 5,...

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