Algebra 1 - Simplifying Expressions Flashcards

Study Notes

Key Terms in Algebraic Expressions

Trinomial: A polynomial composed of three distinct terms.
Binomial: A polynomial made up of two terms.
Factor: The method of simplifying a polynomial using the X-Factor approach.
Factors: Outcomes obtained through the application of the X-Factor method.

Special Types of Polynomials

Perfect Square Trinomial: A trinomial that adheres to the format a² + 2ab + b² or a² - 2ab + b², representing a squared binomial.
Difference of Two Squares: A formula expressed as a² - b² = (a + b)(a - b), showcasing the relationship between the difference and the product of two squared terms.

Expression Characteristics

Algebraic Expression: A combination of numbers, variables, and operation symbols, including at least one variable, forming a mathematical phrase.
Rational Exponent: Refers to exponents that are expressed as fractions.
Integral Exponent: Encompasses whole numbers as exponents, including negative and positive integers such as -5, -2, 3, and 6.

Exponential Rules

Power to a Power: Involves multiplying the exponents while keeping the base unchanged.
Product of Powers: When multiplying terms with the same base, multiply their coefficients and add the exponents.
Power of Zero: Establishes that any non-zero base raised to the exponent of 0 equals 1.
Power of One: States that any base raised to the first power remains unchanged.

Division of Exponents

Dividing with Exponents: Involves retaining the base and deducting the exponents in the process of division.

Description

Test your knowledge of algebraic expressions with these flashcards focusing on key terms such as trinomials and binomials. Each card provides a definition to enhance your understanding of polynomial simplification techniques. Perfect for students looking to reinforce their algebra skills.