Create and Evaluate Algebraic Expressions
You will be able to write and evaluate simple algebraic expressions by the end of this lesson.
Classify Algebraic Expressions
An Algebraic Expression consists of arithmetic numbers (numeral coefficients) and literal numbers (letters or variables) combined by addition, subtraction, multiplication or division. Each part of an expression and the sign before it is called a term. Terms are separated by positive/addition and negative/subtraction signs.
A polynomial with two terms such as 4x - 7
A polynomial with three terms such as 3x^2 - 4x + 2
Degree of a Polynomial
The same as that of the term of greatest degree.
Poly - Many
-nomial may derive from Greek nomos, "law", influenced by Latin nomen, "name"
The following expressions are monomials:
-2 y 5w 0 -7x^2
The following expressions are not monomials:
5x + y 2 + x + z 6x^3 - 9
The non-variable factor of a monomial is called the numerical coefficient.
A monomial like -3 or 25 has no variable factor and is called a constant.
The degree of a monomial in a variable is the number of times the variable is a factor in the monomial.
Jackson was given the expression 2x + 4 and was told to evaluate it when x = 5. Jackson did not know what to do. Explain in your own words what Jackson needs to do. Please use at least three sentences.