Algebra 1 - Vocabulary Flashcards

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?

A graph represents numerical information spatially. Signup and view all the answers

What is a monomial?

An expression with only one term. Signup and view all the answers

What is a parabola?

A particular kind of mathematical curve shaped like a 'U'. Signup and view all the answers

What is a product?

The result of multiplying. Signup and view all the answers

What is a quadratic equation?

An equation that can be written in the form ax^2 + bx + c = 0, where a, b, and c are real numbers and a is non-zero. Signup and view all the answers

What is a situation in terms of equations?

An equation that represents the situation of a story. Signup and view all the answers

What is a root?

A solution of an equation. Signup and view all the answers

What is a solution?

A value or set of values that make an equation true. Signup and view all the answers

What is standard form?

A way of writing linear equations that shows the coefficients. Signup and view all the answers

What are zeros in a polynomial?

The values of x that make a polynomial equal to zero. Signup and view all the answers

What is graphing form?

A form of the equation of a function or relation that clearly shows key information about the graph. Signup and view all the answers

What is the difference of squares?

A polynomial that can be factored as the product of the sum and difference of two terms. Signup and view all the answers

What is a sum?

The result of adding two or more numbers. Signup and view all the answers

What is symmetry?

A line that divides a shape into two pieces that are mirror images of each other. Signup and view all the answers

What does factored completely mean?

A polynomial that is factored completely if none of the resulting factors can be factored further using integer coefficients. Signup and view all the answers

What is a vertex in a parabola?

The highest or lowest point on the parabola. Signup and view all the answers

What is an x-intercept?

The point where a graph intersects the x-axis. Signup and view all the answers

What is a table in mathematics?

Lists of numbers showing the results of a calculation with varying arguments. Signup and view all the answers

What is a y-coordinate?

The point where a graph intercepts the y-axis. Signup and view all the answers

What is the zero product property?

The product of two or more factors is zero. Signup and view all the answers

What is factored form?

A quadratic equation in the form a(x + b)(x + c) = 0, where a is non-zero. Signup and view all the answers

What does completing the square mean?

Using a square to convert a quadratic equation in standard form into perfect square form. Signup and view all the answers

What are perfect square trinomials?

A quadratic equation in the form of a(x + b)^2 = c, where a is non-zero. 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.