What are the solutions to the equation $$ (2x + 5)(5x - 2) = 0 $$ ?

$$ x = -\frac{5}{2}, \frac{2}{5} $$ .

What is the solution to the equation $$ 8x^2 - 6x + 1 = 0 $$ ?

$$ x = 0.25 \text{ or } 0.5 $$ .

What are the solutions to the equation $$ (x - 2)(3x + 1) = 0 $$ ?

$$ x = 2 \text{ and } -\frac{1}{3} $$ .

What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$ ax^2 + bx + c = 0 $$ , where a, b, and c are constants.

What does it mean if a quadratic equation has no real solutions?

It means the discriminant (b^2 - 4ac) is less than zero.

What is the discriminant in a quadratic equation?

The discriminant is the part of the quadratic formula under the square root, given by $$ b^2 - 4ac $$ .

How do you determine if a quadratic function opens upwards or downwards?

If the coefficient of $$ x^2 $$ (a) is positive, it opens upwards; if negative, it opens downwards.

What is the vertex of a parabola?

The vertex is the highest or lowest point of the parabola, depending on its orientation.

What is the axis of symmetry in a quadratic function?

The axis of symmetry is a vertical line that divides the parabola into two mirror images, given by $$ x = -\frac{b}{2a} $$ .

What is the significance of the roots of a quadratic equation?

The roots are the x-values where the graph intersects the x-axis, representing the solutions of the equation.

What is the relationship between the factors and roots of a polynomial?

The roots of a polynomial are the values of x that make the polynomial equal to zero, and they correspond to the factors of the polynomial.

SOL Review - Factoring vs Solution

Flashcard

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA-REI.B.4B, HSF-IF.C.7A, HSF-IF.C.7C

Standards-aligned

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FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-IF.C.7A

FLASHCARD QUESTION

Front

What is the definition of factoring in algebra?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions.

FLASHCARD QUESTION

Front

What is the quadratic formula used for?

Back

Tags

CCSS.HSA-REI.B.4B

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