Bell Quiz. Objectives Students will learn different parts of an expression. Students will understand that variables can take on many different values,

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Presentation transcript:

Bell Quiz

Objectives Students will learn different parts of an expression. Students will understand that variables can take on many different values, while a constant has a single value.

Understanding Variables and Expressions A symbol, usually a letter, used to represent an unknown number is called a variable. In the algebraic expression 4 + x, x is a variable. The number 4 in this expression is the constant, and does not change value.

Example 1 Identifying Variables and Constants Identify the constants and the variables in each expression. a.6 - 3x b.71wz + 28y

Lesson Practice Identify the constants and the variables in each expression. a.65qrs + 12x b.4gh - 71yz

Understanding Variables and Expressions The expression 4xy can also be written as 4 ・ x ・ y. When two or more quantities are multiplied, each is a factor of the product. The numeric factor of a product including a variable is called the numeric coefficient, or simply the coefficient.

Example 2 Identifying Factors and Coefficients in Expressions Identify the factors and coefficients in each expression. a.7vw b.-5rst c. y/3 d.cd

Lesson Practice Identify the factors and coefficients in each expression. a.17def b.-3st c.abc

New Concept Parts of an expression separated by + or - signs are called terms of an expression. (example in book) A term that is in parentheses such as (y + 2) can include a plus or minus sign. You can refer to a particular term of an expression by its placement within the expression. The terms of an expression are numbered from left to right, beginning with the first term.

Example 3 Identifying Terms Identify the terms in each expression.

Lesson Practice Identify the terms in each expression.

Example 4 Application: Telecommunications The local telephone company uses the expression below to determine the monthly charges for individual customers. The set of whole numbers is closed under addition. 0.1m a.How many terms are in the expression? b.Identify the constant(s). c.Identify the variable(s).

Lesson Practice Bill’s Bikes uses the expression below to calculate rental fees h b a.How many terms are in the expression? b.Identify the constant(s). c.Identify the variable(s).