Algebraic expression
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EXPRESS ME ALGEBRAICALLY!!
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ALGEBRA
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Find the definition of the following terms:
• Algebra• variable• replacement set• substitution• constant• symbols of
grouping• symbols of
relationship
• algebraic term• algebraic
expression• factors• numerical
coefficient• literal coefficient
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ALGEBRADefined as a branch of
mathematics which generalizes the facts in arithmetic.
In the language of algebra, letters along with numbers and operation symbols are used to create expressions.
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VARIABLECan stand for different numbers at different times.
Represents any number from a given replacement set.
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EXAMPLES:
Any letter in the ENGLISH ALPHABET such as X, Y, Z, A, B, and C.
x + 7b2 – 4ac
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REPLACEMENT SET
The set of values of the variable.
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SUBSTITUTIONReplacing a variable by a constant.
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EXAMPLES: let x ={1, 2, 3} replacement set
x + 7x= 1 x = 2 x = 3x + 7 x + 7 x + 71 + 7 2 + 7 3 +7 8 9 10
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CONSTANTA symbol which has exactly one number in its replacement set.
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EXAMPLES:
7, 4, and 1 1. = 3. 141592654…
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SYMBOLS OF GROUPING
Parentheses: ( )
Brackets: [ ]
Braces: { }
Bar or fraction bar: ____
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EXAMPLES:
1 1 – { 1 2 – [ 4 – (8 + 9 ) ] – 1 3 }1 1 – { 1 2 – [ 4 – 1 7 ] – 1 3 }1 1 – { 1 2 – 1 3 + 1 3 }1 1 – 1 2- 1
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SYMBOLS OF RELATIONSHIP
≠ Is not equal to≤ Is less than or equal to≥ Is greater than or equal
to< Is less than> Is greater than= Equals, is equal to, is
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EXAMPLES:
x + 7 < 1 0 x = 11 + 7 < 1 08 < 1 0 √
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FACTORSThe numbers and symbols in a product.
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EXAMPLES:
(-3) (2) = -6
Factors product(-3 x ) (2 x ) = -6 x2
Factors product
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NUMERICAL COEFFICIENT
The number in an algebraic term.
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LITERAL COEFFICIENT
A letter used to represent a number
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EXAMPLES:
4 x
Numerical coefficient Literal coefficient
-45 abc
Numerical coefficient Literal coefficient
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ALGEBRAIC TERMEither a single number, a letter, or a product of several numbers or letters.
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EXAMPLES:
x + 7
algebraic term term2x + 3y – 4z
term term term
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ALGEBRAIC EXPRESSION
A statement containing one or more terms connected by plus or minus signs.
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EXAMPLES:
x + 7
Algebraic expression2x + 3y – 4z
expression
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ALGEBRAIC EQUATION
A statement containing one or more terms connected by plus or minus signs with the symbol of equality.
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EXAMPLES:
x + 7 = 10
Algebraic Equation2x + 3y – 4z = 20
Equation
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ALGEBRAIC term expression
equation 2x, 29 2x + 29 2x + 29 = 50
x, y x - y x - y = -10
a2 , 2b, 5 a2 + 2b - 5 a2 + 2b – 5 = 9
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ASSIGNMENT E-Math Book, page 165, Vocabulary and Concepts no.s 1-10. Page 167, VII: Identifying literal coefficients, no.s 59-63 and page 165, IX: Identifying numerical coefficients, no.s 65-69.