Algebra 1 EOC Vocab Review

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Questions and Answers

What is the definition of a coefficient?

Output, y

A mathematical statement that two expressions are equal

A value that does not change

Number in front of a variable (correct)

What is a constant?

A value that does not change

Define a coordinate plane.

The plane containing the x and y axis

What is an irrational number?

A real number that cannot be expressed as a rational number Signup and view all the answers

What are like terms?

Expressions that contain the same variables to the same power Signup and view all the answers

Define a rational number.

Any number that can be written as a fraction Signup and view all the answers

What is an equation?

A mathematical statement that two expressions are equal Signup and view all the answers

What is a formula in mathematics?

A group of symbols that make a mathematical statement Signup and view all the answers

What is an identity?

An equation that is true for all values of the variable Signup and view all the answers

Define an inequality.

A statement that compares two quantities using <, ≤, ≥, or ≠ Signup and view all the answers

What is the solution of an inequality?

Any value that makes the inequality true Signup and view all the answers

What is a dependent variable?

Output, y Signup and view all the answers

What is function notation?

f(x) Signup and view all the answers

What defines a function?

A relation in which each element of the domain is paired with exactly one element of the range Signup and view all the answers

What is an independent variable?

Input, x Signup and view all the answers

Define a relation.

A set of ordered pairs Signup and view all the answers

What is a linear function?

Line, y=mx+b Signup and view all the answers

Define slope.

Rise over run Signup and view all the answers

What is an x-intercept?

Where the graph intercepts with the x-axis Signup and view all the answers

What is a y-intercept?

Where the graph intercepts with the y-axis Signup and view all the answers

What defines a system of linear equations?

Two or more linear equations Signup and view all the answers

Define a binomial.

Polynomial with 2 terms Signup and view all the answers

What is the degree of a monomial?

Sum of the exponents of the variables in a monomial Signup and view all the answers

What is the degree of a polynomial?

Degree of the term with the greatest degree Signup and view all the answers

What is the leading coefficient?

Coefficient of the first term of a polynomial in standard form Signup and view all the answers

Define a polynomial.

More than one term either added or subtracted Signup and view all the answers

What is the greatest common factor (GCF)?

The largest factor that 2 or more numbers have in common Signup and view all the answers

Define the axis of symmetry.

A line that divides a figure in half so that each half is the mirror image of the other Signup and view all the answers

What is a maximum point on a graph?

Highest point on a graph of a parabola Signup and view all the answers

What is a minimum point on a graph?

Lowest point on a graph of a parabola Signup and view all the answers

Define a parabola.

Graph in a U or n shape Signup and view all the answers

What characterizes a quadratic equation?

Highest power is 2 Signup and view all the answers

Define a quadratic function.

A function that looks like a parabola when graphed, written in the form of ax^2+bx+c Signup and view all the answers

What are zeros in the context of a graph?

Where the graph crosses the x-axis, where the equation is equal to zero Signup and view all the answers

Study Notes

Algebra 1 Vocabulary Review

Coefficient: A number placed in front of a variable that indicates multiplication (e.g., in 3x, 3 is the coefficient).
Constant: A fixed value that does not change over time or in varying mathematical contexts.
Coordinate Plane: A two-dimensional plane defined by the intersection of the x-axis and y-axis.
Irrational Number: A number that cannot be expressed as a simple fraction, often represented by non-repeating, non-terminating decimals (e.g., π, √2).
Like Terms: Terms in an expression that contain the same variable raised to the same power, allowing for combination (e.g., 2x and 5x).
Rational Number: Any number that can be expressed as a fraction, where both numerator and denominator are integers and the denominator is not zero.
Equation: A mathematical statement asserting the equality of two expressions, represented by the "=" sign.
Formula: A concise way of expressing information symbolically, typically representing a mathematical relationship.
Identity: An equation that holds true for every possible value of the variable involved.
Inequality: A mathematical expression that compares two amounts using symbols such as <, ≤, >, ≥, or ≠.
Solution of an Inequality: Any number or value that satisfies the inequality, making it true.
Dependent Variable: The output variable (often denoted as y) whose value depends on the input variable(s).
Function Notation: The format used to express functions, commonly written as f(x).
Function: A mapping relationship where each input from the domain is associated with exactly one output in the range.
Independent Variable: The input variable (represented as x) that is changed or controlled in a function.
Relation: A collection of ordered pairs, which may represent the relationship between two sets.
Linear Function: A function that graphs as a straight line, commonly expressed in the form y = mx + b where m is the slope and b is the y-intercept.
Slope: The measure of steepness of a line, calculated as the ratio of vertical change (rise) to horizontal change (run).
X-Intercept: The point where a graph intersects the x-axis, indicating where y equals zero.
Y-Intercept: The point where a graph intersects the y-axis, indicating where x equals zero.
System of Linear Equations: A set of two or more linear equations involving the same variables.
Binomial: A polynomial consisting of exactly two terms.
Degree of a Monomial: The sum of the exponents in the monomial, indicating its highest power.
Degree of a Polynomial: The term within a polynomial that has the highest degree, determining the polynomial's overall degree.
Leading Coefficient: The coefficient of the term with the highest degree in a polynomial, significant for identifying the polynomial's behavior.
Polynomial: An algebraic expression that consists of multiple terms combined with addition or subtraction.
Greatest Common Factor (GCF): The largest number that can evenly divide two or more numbers, used for simplifying fractions.
Axis of Symmetry: A line used to divide a figure into two identical halves, mirroring each side.
Maximum: The highest point on the graph of a parabola, indicating the peak value.
Minimum: The lowest point on the graph of a parabola, indicating the trough value.
Parabola: The U-shaped or n-shaped graph produced by a quadratic function.
Quadratic Equation: An equation where the highest exponent of the variable is 2, generally expressed in the form ax² + bx + c = 0.
Quadratic Function: A type of function whose graph forms a parabola, expressed in the standard form ax² + bx + c.
Zeros: The points at which the graph crosses the x-axis, representing the solutions to the equation when set to zero.

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Test your knowledge with flashcards covering essential vocabulary for Algebra 1. This quiz includes definitions of key concepts such as coefficients, constants, and irrational numbers. Perfect for preparing for the End of Course (EOC) exam.