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Algebraic expression
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- 4. Find the definitionof the following terms:Algebravariablereplacement setsubstitutionconstantsymbols of groupingsymbols of relationshipalgebraic termalgebraic expressionfactorsnumerical coefficientliteral coefficient
- 5. ALGEBRADefined as abranch of mathematics which generalizes the facts in arithmetic.
- 6. In the languageof algebra, letters along with numbers and operation symbols are used to create expressions.VARIABLECan stand for different numbers at different times.
- 7. Represents any numberfrom a given replacement set.EXAMPLES:Any letter in the ENGLISH ALPHABET such as X, Y, Z, A, B, and C.x + 7b2 – 4ac
- 8. REPLACEMENT SETThe setof values of the variable.SUBSTITUTIONReplacing a variable by a constant.EXAMPLES:let x ={1, 2, 3} replacement setx + 7x= 1 x = 2 x = 3x + 7 x + 7 x + 71 + 7 2 + 7 3 +7 8 9 10
- 9. CONSTANTA symbol whichhas exactly one number in its replacement set.EXAMPLES:7, 4, and 1 1.
- 10. = 3. 141592654…SYMBOLSOF GROUPINGParentheses: ( )Brackets: [ ]Braces: { }Bar or fraction bar: ____
- 11. 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
- 12. 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
- 13. EXAMPLES:x + 7< 1 0 x = 11 + 7 < 1 08 < 1 0 √
- 14. FACTORSThe numbers andsymbols in a product.EXAMPLES:(-3) (2) = -6 Factors product(-3 x ) (2 x ) = -6 x2 Factors product
- 15. NUMERICAL COEFFICIENTThe numberin an algebraic term.LITERAL COEFFICIENTA letter used to represent a numberEXAMPLES:4 xNumerical coefficient Literal coefficient45 abc Numerical coefficient Literal coefficient
- 16. ALGEBRAIC TERMEither asingle number, a letter, or a product of several numbers or letters.EXAMPLES:x + 7algebraic term term2x + 3y – 4z term term term
- 17. ALGEBRAIC EXPRESSIONA statementcontaining one or more terms connected by plus or minus signs. EXAMPLES:x + 7Algebraic expression2x + 3y – 4z expression
- 18. ALGEBRAIC EQUATIONA statementcontaining one or more terms connected by plus or minus signs with the symbol of equality. EXAMPLES:x + 7 = 10Algebraic Equation2x + 3y – 4z = 20 Equation
- 19. ALGEBRAIC term expression equation2x, 29 2x + 29 2x + 29 = 50x, y x - y x - y = -10a2 , 2b, 5 a2 + 2b - 5 a2 + 2b – 5 = 9
- 20. ASSIGNMENT E-Math Book,page 165, Vocabulary and Concepts no.s 1-10.
- 21. Page 167, VII:Identifying literal coefficients, no.s 59-63 and page 165, IX: Identifying numerical coefficients, no.s 65-69.