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Chapter 21: Expressions

Definition of Expression

• An EXPRESSION is a mathematical phrase that includes:

  • Numbers, variables, and operators (such as +, -, x, and ÷).

  • Examples:

    • 3x + 9

    • -7y +

    • 1.3a² - 4ab + 2

    • 3a² - 12ab + 6b²

Terms in Expressions

• Expressions consist of one or more TERMS.

• A TERM can be:

  • A single number

  • The product of a number and one or more variables

• Terms are usually separated by a plus or minus sign.

• Examples of Terms:

  • 3x + 9

  • 7a²

  • ab + 6b²

Chapter 22: Types of Expressions

Monomial

• A MONOMIAL consists of only 1 term.

  • Example: 38m

Binomial

• A BINOMIAL consists of 2 terms.

  • Example: -7y + 1

Trinomial

• A TRINOMIAL consists of 3 terms.

  • Example: 8a² - ab + 6b²

Polynomial

• A POLYNOMIAL consists of multiple terms, represented by variables and coefficients.

• Definitions:

  • COEFFICIENT: Numerical part of a term with a variable.

  • VARIABLE: Letter(s) representing a value.

Chapter 23: The Degree of Expressions

Exponents

• Sometimes, a variable can take an EXPONENT.

• Example for determining the Degree of Monomials:

  • 7a² has a degree of 2.

  • 1.79x³y² has a degree of 5 (3+2).

  • 2a²bc² has a degree of 7 (2+1+4).

• A