Algebra 1 - Vocabulary Flashcards
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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?

<p>A graph represents numerical information spatially.</p> Signup and view all the answers

What is a monomial?

<p>An expression with only one term.</p> Signup and view all the answers

What is a parabola?

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

What is a product?

<p>The result of multiplying.</p> Signup and view all the answers

What is a quadratic equation?

<p>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.</p> Signup and view all the answers

What is a situation in terms of equations?

<p>An equation that represents the situation of a story.</p> Signup and view all the answers

What is a root?

<p>A solution of an equation.</p> Signup and view all the answers

What is a solution?

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

What is standard form?

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

What are zeros in a polynomial?

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

What is graphing form?

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

What is the difference of squares?

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

What is a sum?

<p>The result of adding two or more numbers.</p> Signup and view all the answers

What is symmetry?

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

What does factored completely mean?

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

What is a vertex in a parabola?

<p>The highest or lowest point on the parabola.</p> Signup and view all the answers

What is an x-intercept?

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

What is a table in mathematics?

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

What is a y-coordinate?

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

What is the zero product property?

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

What is factored form?

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

What does completing the square mean?

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

What are perfect square trinomials?

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

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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.

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