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BASIC TERMS IN ALGEBRA to be described.pptx
- 1. BASIC TERMS INALGEBRA (Constants, Variables, Coefficients, Terms, Algebraic Expressions) LILIBETH C. DELA CRUZ MATH 7 TEACHER
- 2. Once upon atime, a pirate realized that he has too much treasure and decided to give some away. You will be given one chest. However, the treasure chests he gave were all locked. The pirate was obsessed with Algebra, so he put special lock which could only be opened with special passwords. The pirate has provided you with a puzzle. You have to look for the words listed in the puzzle. Once you will find the words, present it to the pirate and you can immediately receive your treasure! Activity 1: Hunt Me! Let’s Find Out: What are the basic terms in algebra? Terms Coefficient constant variable Algebraic expression exponent
- 3. Exercise: Look forthe following terms 1. constant 2. variable 3. term 4. coefficient 5. algebraic expressions 6. exponent 7. numerical 8. base J K C V B N M K J H G F D S A S D Q W E R T Y Y U N O P A S D F G H J K L A S D F F G H J U K L Z X C V B N M A S D F G H H J K L M W E R C T Y U I O O P A S D V C V B A E D F G O Q W E R T Y U C C V A L G E B R A I C E X P R E S S I O N S R Q W E R I Y U U F T Y U I O P S N F G I G H J K C Q W E F R T Y U I O P S A S A D F G B A S E A I A S D F G H J T J K B Q W E R L Y U I C A S D F G H J A C V L X C V B N M A S I S D F G H J K N Z X E Q W E R T Y U I E X P O N E N T T U I R T Y U I O O P Q N A S D F G H J K L A A S D F G H J K L T E R M S W E R T Y U Q W E R T Y U I O P A S D F G H J K L Z
- 4. Exercise: Look forthe following terms 1. constant 2. variable 3. term 4. coefficient 5. algebraic expressions 6. exponent 7. numerical 8. base J K C V B N M K J H G F D S A S D Q W E R T Y Y U N O P A S D F G H J K L A S D F F G H J U K L Z X C V B N M A S D F G H H J K L M W E R C T Y U I O O P A S D V C V B A E D F G O Q W E R T Y U C C V A L G E B R A I C E X P R E S S I O N S R Q W E R I Y U U F T Y U I O P S N F G I G H J K C Q W E F R T Y U I O P S A S A D F G B A S E A I A S D F G H J T J K B Q W E R L Y U I C A S D F G H J A C V L X C V B N M A S I S D F G H J K N Z X E Q W E R T Y U I E X P O N E N T T U I R T Y U I O O P Q N A S D F G H J K L A A S D F G H J K L T E R M S W E R T Y U Q W E R T Y U I O P A S D F G H J K L Z V A R I A B L E C O N S T A N T C O E F F I C I E N T E X P O N E N T A L G E B R A I C E X P R E S S I O N S T E R M
- 5. What Is It? Thefollowing are important terms to remember. Algebraic Expression • is a group of terms separated by the plus ( + ) or minus ( - ) sign. Constant • is a term or number with exact values. Variable • is any letter in the alphabet representing unknown value, sometimes called a literal coefficient. Term • is a constant or a variable or constants and variables multiplied together. The number part of each term is called the numerical coefficient. For the term 2yz, the numerical coefficient is 2 The variable or variables is/are called the literal coefficient/s. In 2yz, the literal coefficients are y and z. Exponent • tells how many times the base is used as a factor.
- 6. BASIC TERMS INALGEBRA
- 7. What’s More Activity 3:Count me! Count the number of terms if each figure represents a variable. Write your answer on your Mathematics notebook. Number 1 is done for you. A. Count the number of terms. 1.) + - ___3___ 2.) - ________ 3.) + + - ________ 4.) ________ 5.) + ________ B. Identify the number of terms in each algebraic expressions. 1. 2x2 +3x-1 ________ 2. x+1 ________ 3. 3ab-4bc+a-abc ________ 4. 3a _______ 5. 3a2 b-4b3 c2 +2a-2bc+3abc _________ 2 3 1 2 5 1 4 2 3
- 8. CLASSIFYING ALGEBRAIC EXPRESSIONS Examples of monomials: 4 y -3xyz a is a monomial in one variable a. 10ab2 is a monomial in two variables a and b. 5m2 n is a monomial in two variables m and n. -7pq is a monomial in two variables p and q. 1. Monomial: An algebraic expression which consists of one term
- 9. Examples ofbinomials: m + n is a binomial in two variables m and n. a 2 + 2b is a binomial in two variables a and b. 5x3 – 9y2 is a binomial in two variables x and y. -11p – q2 is a binomial in two variables p and q. b3 /2 + c/3 is a binomial in two variables b and c. 5m2 n2 + 1/7 is a binomial in two variables m and n. 2. Binomial: An algebraic expression which consists of two non-zero terms
- 10. Examples of trinomial: x+ y + z is a trinomial in three variables x, y and z. 2a2 + 5a + 7 is a trinomial in one variables a. xy + x + 2y2 is a trinomial in two variables x and y. -7m5 + n3 – 3m2 n2 is a trinomial in two variables m and n. 5abc – 7ab + 9ac is a trinomial in three variables a, b and c. x2 /3 + ay – 6bz is a trinomial in five variables a, b, x, y and z. 3. Trinomial: An algebraic expression of three non-zero terms
- 11. Examples ofmultinomial: p + q is a multinomial of two terms in two variables p and q. a + b + c is a multinomial of three terms in three variables a, b and c. a + b + c + d is a multinomial of four terms in four variables a, b, c and d. x4 + 2x3 + 1/x + 1 is a multinomial of four terms in one variable x a + ab + b2 + bc + cd is a multinomial of five terms in four variables a, b, c and d. 5x8 + 3x7 + 2x6 + 5x5 - 2x4 - x3 + 7x2 - x is a multinomial of ei 4. Multinomial: - An algebraic expression of two terms or more than three terms
- 12. LET’S TRY THIS: DETERMINETHE NUMBER OF TERMS IN AN ALGEBRAIC EXPRESSION How many terms do each of the following algebraic expressions contain? 1. 2x+1 2. −3+7yz+x 3. 80p 4. 37x + 5xy 1 − 5. 2xy − 2 z + x – 1 6. 2x+2x 7. −3x +2y+ 8z -9 8. 24xyz
- 13. LET’S TRY THIS: DETERMINETHE NUMBER OF TERMS IN AN ALGEBRAIC EXPRESSION How many terms do each of the following algebraic expressions contain? 1. 2x+1 2 –term (binomial) 2. −3+7yz+x 3-term expression (trinomial) 3. 80p 1-term expression (monomial) 4. 37x + 5xy − 1 trinomial 5. −2xy2 z + x – 1 trinomial 6. 2x+2x binomial 7. −3x +2y+ 8z -9 mutinomial 8. 24xyz monomial
- 14. PARENTHESIS EXPONENT MULTIPLICATION / DIVISION ADDITION/SUBTRACTION Get ready for a QUIZ next meeting regarding basic terms in algebra and simplifying numerical expressions using PEMDAS