Algebraic Expressions and Equations

1. ALGEBRAIC
EXPRESSIONS
AND EQUATIONS
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2. Find the 5th term of a series.
● 10, 20, 30, 40 …
● 3, 6, 9, 12, …
● 4, 8, 12, 16, 20 …
● 100, 200, 300, 400 …
● 20, 40, 60, 80 ...
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3. Algebraic Expression
● It is a mathematical phrase or expression that contains
numbers, letters, and operation symbols.
Example:
3x
5x - 2
3a + 2b - 4c
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4. Algebraic Expression
● An algebraic 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.
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6. Polynomial
● It is an 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
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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
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8. What type of polynomial is this?
3x + 4
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9. What type of polynomial is this?
5x
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10. What type of polynomial is this?
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11. What type of polynomial is this?
4a - 2b - c + 4d
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12. Degree of Polynomials
● It is the largest exponent among the terms in the polynomial.
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13. Algebraic Equation
● It is an equality between two algebraic expressions. An
algebraic equation is also called a mathematical sentence.
Examples:
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