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Algebra 2 Unit 3 Review

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Section 1

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GCF Factoring Example

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Algebra Math

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Date created

Mar 14, 2020

Cards (21)

Section 1

(21 cards)

GCF Factoring Example

Front

3x²+6x = 3x(x + 2)

Back

Factor (the verb)

Front

To rewrite a quantity as an equivalent product

Back

Solving a System of Equations Graphically

Front

Find the points of intersection / You are solving for both x and y

Back

Complete Factoring

Front

Factoring an expression until it cannot be factored anymore. Example: 40-250x² = 10(4 - 25x²) = 10(2 + 5x)(2 - 5x)

Back

Root / x-intercept / zero

Front

Soluiton to the equation f(x) = 0.

Back

Trinomial Factoring Example (Guess and Check / AC-Split the Middle)

Front

x² + 2x - 35 = (x + 7)(x - 5) 2x² + 5x - 6 = (4x - 3)(x + 2)

Back

Putting a Quadratic in Completed Square (Vertex) Form

Front

Back

Locus Definition of a Circle

Front

The collection of all points equidistant from a given point.

Back

Solving a Quadratic Inequality Algebraically

Front

Back

Maximum Vertex (turning point)

Front

In f(x)=ax²+bx+c , if a < 0, the f(x) has a ...

Back

Formula for the x-coordinate of the vertex as well as the Axis of Symmetry

Front

Back

Completed Square Form / Vertex Form

Front

y = a(x - h)² + k (h, k) is the vertex

Back

Equation of a Parabola using the Locus Definition

Front

y - k = 1/4p (x - h)² (h, k) is the vertex p is ½ the distance between the focus and the directrix

Back

Leading Coefficient

Front

In f(x)=ax²+bx+c, the a is referred to as the ...

Back

Conjugate Pair Factoring Example

Front

4x²-25 = (2x + 5)(2x - 5)

Back

Locus Definition of a Parabola

Front

Collection of all points equidistant from a fixed point (focus) and a fixed line (directrix).

Back

Parabola

Front

Graph of a Quadratic Function

Back

Miniumum Vertex (turning point)

Front

In f(x)=ax²+bx+c , if a > 0, the f(x) has a ...

Back

Zero Product Law

Front

If the product of multiple factors is equal to zero then at least one of the factors must be zero.

Back

Equation of a Circle in Center-Radius Form

Front

(x - h)² + (y - k)² = r² (h, k) is the center r is the radius

Back

Conjugates

Front

Opposite Binomials Example: (x + 5)(x - 5)

Back