Questions and Answers
What is a binomial?
An expression that is the sum or difference of exactly two terms, each of which is a monomial.
What is a factor?
When two or more integers are multiplied.
What is a generic rectangle?
A type of diagram used to visualize multiplying expressions without algebra tiles.
What does a graph represent?
Signup and view all the answers
What is a monomial?
Signup and view all the answers
What is a parabola?
Signup and view all the answers
What is a product?
Signup and view all the answers
What is a quadratic equation?
Signup and view all the answers
What is a situation in terms of equations?
Signup and view all the answers
What is a root?
Signup and view all the answers
What is a solution?
Signup and view all the answers
What is standard form?
Signup and view all the answers
What are zeros in a polynomial?
Signup and view all the answers
What is graphing form?
Signup and view all the answers
What is the difference of squares?
Signup and view all the answers
What is a sum?
Signup and view all the answers
What is symmetry?
Signup and view all the answers
What does factored completely mean?
Signup and view all the answers
What is a vertex in a parabola?
Signup and view all the answers
What is an x-intercept?
Signup and view all the answers
What is a table in mathematics?
Signup and view all the answers
What is a y-coordinate?
Signup and view all the answers
What is the zero product property?
Signup and view all the answers
What is factored form?
Signup and view all the answers
What does completing the square mean?
Signup and view all the answers
What are perfect square trinomials?
Signup and view all the answers
Study Notes
Algebra 1 Vocabulary
-
Binomial: Expression with exactly two terms, such as ( 2x + 3y^2 ).
-
Factor: Result of multiplying two or more integers together.
-
Generic Rectangle: Diagram illustrating multiplication of expressions, serving as a visual aid without tiles.
-
Graph: Spatial representation of numerical data.
-
Monomial: Expression containing a single term; can include a number, variable, or their product.
-
Parabola: U-shaped mathematical curve, commonly associated with quadratic functions.
-
Product: Outcome of a multiplication operation.
-
Quadratic Equation: An equation structured as ( ax^2 + bx + c = 0 ) where ( a, b, ) and ( c ) are real numbers and ( a \neq 0 ).
-
Situation: An equation that describes a scenario in a story context.
-
Root: A solution that satisfies an equation.
-
Solution: Value or set of values that validate the truth of an equation.
-
Standard Form: Representation of linear equations showcasing coefficients clearly.
-
Zeros: Values of ( x ) for which a polynomial equals zero, indicating x-intercepts.
-
Graphing Form: A way to express a function or relation emphasizing critical graph information.
-
Difference of Squares: A polynomial expressible as the product of the sum and difference of two terms.
-
Sum: Result of adding two or more quantities.
-
Symmetry: Line of symmetry divides a shape into two identical halves, allowing for perfect overlap when folded.
-
Factored Completely: State of a polynomial with no further integer factorization possible.
-
Vertex: The peak or lowest point on a parabola, critical for identifying its position.
-
X-intercept: The graph point where it crosses the x-axis.
-
Table: Compilation of numerical results showcasing calculations with various inputs.
-
Y-coordinate: Point of intersection where a graph meets the y-axis.
-
Zero Product Property: The principle that the product of any number of factors is zero if at least one factor is zero.
-
Factored Form: Representation of a quadratic equation as ( a(x + b)(x + c) = 0 ), with ( a ) being non-zero.
-
Completing the Square: Method to convert a standard form quadratic equation into its perfect square counterpart.
-
Perfect Square Trinomials: Quadratic equations formatted as ( a(x + b)^2 = c ) where ( a ) is non-zero, indicating a specific structure.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Explore essential vocabulary for Algebra 1 with these flashcards. Each card contains a key mathematical term along with its definition, allowing you to build a strong foundation in algebra concepts. Perfect for students looking to enhance their understanding of mathematical expressions and operations.