Algebra 1 EOC Review

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Algebra 1 EOC Flashcards

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27 Terms

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Quadratic Function (y=ax²)

A function where the highest power of x is 2, forming a parabola.

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Domain of a Quadratic Function

All real numbers (R).

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Range of a Quadratic Function

The set of all possible y-values of the function.

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Axis of Symmetry (AOS)

A vertical line that divides the parabola into two symmetrical halves. Formula: x = -b/2a (for y= ax² + bx + c).

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Vertex

The point where the parabola changes direction (minimum or maximum point).

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Solve By Graphing

Finding the x-intercepts (zeros) of the quadratic function.

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Zero-Product Property

If ab = 0, then a = 0 or b = 0. Used to solve factored quadratic equations.

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Solve by Factoring

Expressing a quadratic equation as a product of two binomials and using the zero-product property to find the solutions.

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Quadratic Formula

x = (-b ± √(b²-4ac)) / 2a

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Discriminant

b² - 4ac (determines the number of real solutions of a quadratic equation).

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Exponential Function

f(x) = a* (where 'a' is a constant base).

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Exponential Growth

Occurs when the base (a) is greater than 1.

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Exponential Decay

Occurs when the base (a) is between 0 and 1 (0 < a < 1).

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Polynomial

An expression consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

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Degree of a Polynomial

The highest power of the variable in the polynomial.

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Combining Like Terms

Adding or subtracting terms with the same variable and exponent.

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Systems of Equations

A set of two or more equations with the same variables.

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Linear Equations

Forms a straight line when graphed, can have 0-2 solutions.

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Solution of a System

The point(s) where the graphs of the equations intersect.

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Solving Systems by Substition

Solving one equation for one variable and then substituting that expression into the other equation.

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Solving Systems by Elimination

Adding or subtracting equations to eliminate one variable.

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Linear Inequality Graphing

Graphing inequalities on straight lines and shading the region that contains the solutions.

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Solid Line (Inequality)

Used when the inequality includes ≤ or ≥.

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Dashed Line (Inequality)

Used when the inequality includes < or >.

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Two-Way Tables

A tool used to visualize data in two categories.

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Cell (Two-Way Table)

One piece of data within the table.

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Relative Frequency Tables

Shows data in decimal or percentage form relative to the total.