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Algebraic Expressions and Equations
This document defines and provides examples of algebraic expressions, polynomials, and equations. It discusses the components of algebraic expressions including terms, variables, constants, and coefficients. It defines polynomials as expressions involving addition, subtraction, multiplication, division, and exponents. The document describes different types of polynomials including monomials, binomials, trinomials, and multinomials. It also discusses determining the degree and type of polynomials. Finally, it provides a definition and examples of algebraic equations.
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Algebraic Expressions and Equations
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- 2. Find the 5thterm of a series. ● 10, 20, 30, 40 … ● 3, 6, 9, 12, … ● 4, 8, 12, 16, 20 … ● 100, 200, 300, 400 … ● 20, 40, 60, 80 ... 01 02 03 04 05 Index
- 3. Algebraic Expression ● Itis a mathematical phrase or expression that contains numbers, letters, and operation symbols. Example: 3x 5x - 2 3a + 2b - 4c 01 02 03 04 05 Index
- 4. Algebraic Expression ● Analgebraic expression is made up of terms. ● A term can be a number, a variable, a constant, or a constant multiplied to a variable or variables. ● A variable is any letter from a to z that represents an unknown number or quantity. It does not have a fixed value. ● A term that does not have a variable is called a constant, whose value is fixed. ● In a term with both a number and a variable, the number is called a numerical coefficient while the variable is called literal coefficient. 01 02 03 04 05 Index
- 6. Polynomial ● It isan algebraic expression that only involves the operations addition, subtraction, multiplication, division, and non-negative integer exponents in the variable. ● It is made up of terms. These terms are separated by a plus (+) or minus (-) signs. Example: 5x - 2 3a + 2b - 4c 01 02 03 04 05 Index
- 7. Types of Polynomials ●Monomial - consists of one term ● Binomial - consists of two terms ● Trinomial - consists of three terms ● Multinomial - consists of more than three terms, generally called as polynomial 01 02 03 04 05 Index
- 8. What type ofpolynomial is this? 3x + 4 01 02 03 04 05 Index
- 9. What type ofpolynomial is this? 5x 01 02 03 04 05 Index
- 10. What type ofpolynomial is this? 01 02 03 04 05 Index
- 11. What type ofpolynomial is this? 4a - 2b - c + 4d 01 02 03 04 05 Index
- 12. Degree of Polynomials ●It is the largest exponent among the terms in the polynomial. 01 02 03 04 05 Index
- 13. Algebraic Equation ● Itis an equality between two algebraic expressions. An algebraic equation is also called a mathematical sentence. Examples: 01 02 03 04 05 Index