BASIC TERMS IN ALGEBRA to be described.pptx

Terms are given and described. Followed by examples

1. BASIC TERMS IN ALGEBRA ( Constants, Variables, Coefficients, Terms, Algebraic Expressions) LILIBETH C. DELA CRUZ MATH 7 TEACHER

2. Once upon a time, 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 for the 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 for the 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? The following are important terms to remember.

6. BASIC TERMS IN ALGEBRA

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. B. Identify the number of terms in each algebraic expressions. 1. 2x 2 +3x-1 ________ 2. x+1 ________ 3. 3ab-4bc+a-abc ________ 4. 3a _______ 5. 3a 2 b-4b 3 c 2 +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. 10ab 2  is a monomial in two variables a and b. 5m 2 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 of binomials: m + n  is a binomial in two variables m and n. a 2  + 2b  is a binomial in two variables a and b. 5x 3  – 9y 2  is a binomial in two variables x and y. -11p – q 2  is a binomial in two variables p and q. b 3 /2 + c/3  is a binomial in two variables b and c. 5m 2 n 2  + 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. 2a 2  + 5a + 7  is a trinomial in one variables a. xy + x + 2y 2  is a trinomial in two variables x and y. -7m 5  + n 3  – 3m 2 n 2  is a trinomial in two variables m and n. 5abc – 7ab + 9ac  is a trinomial in three variables a, b and c. x 2 /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 of multinomial: 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. x 4  + 2x 3  + 1/x + 1  is a multinomial of four terms in one variable x a + ab + b 2  + bc + cd  is a multinomial of five terms in four variables a, b, c and d. 5x 8  + 3x 7  + 2x 6  + 5x 5  - 2x 4  - x 3  + 7x 2  - x  is a multinomial of ei 4 . Multinomial:   - An algebraic expression of two terms or more than three terms

12.   Let’s try this: DETERMINE THE NUMBER OF TERMS IN AN ALGEBRAIC EXPRESSION How many terms do each of the following algebraic expressions contain? 2x+1 −3+7yz+x 3. 80p 4. 37x + 5xy − 1 5. −2xy 2 z + x – 1 6. 2x+2x −3x +2y+ 8z -9 8. 24xyz

13.  Let’s try this: DETERMINE THE NUMBER OF TERMS IN AN ALGEBRAIC EXPRESSION How many terms do each of the following algebraic expressions contain? 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. −2xy 2 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