What are the solutions of the equation $$x^2 = 49$$ ?

The solutions are $$x = 7$$ and $$x = -7$$ .

What is the solution to the equation $$2x^2 + 7x + 6 = 0$$ by factoring?

The solutions are $$x = -3/2$$ and $$x = -2$$ .

What is the first step in solving the equation $$5x^2 = 10x$$ ?

Rearrange the equation to $$5x^2 - 10x = 0$$ and factor out $$5x$$ .

What are the roots of the equation $$3x^2 + 18x + 10 = -5$$ ?

The roots are $$x = -5$$ and $$x = -1$$ .

What is the quadratic formula?

The quadratic formula is $$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ , used to find the roots of a quadratic equation.

What is the discriminant in a quadratic equation?

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

What does a positive discriminant indicate?

A positive discriminant indicates that the quadratic equation has two distinct real roots.

What does a zero discriminant indicate?

A zero discriminant indicates that the quadratic equation has exactly one real root (a repeated root).

What does a negative discriminant indicate?

A negative discriminant indicates that the quadratic equation has no real roots, but two complex roots.

How do you check if your solutions to a quadratic equation are correct?

Substitute the solutions back into the original equation to see if they satisfy it.

What is the vertex of a quadratic function?

The vertex is the highest or lowest point of the parabola represented by the quadratic function, found at $$x = -\frac{b}{2a}$$ .

What is the axis of symmetry in a quadratic equation?

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

(I)Factoring Quadratic Assessment Equations (Prior to Re-take) Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.A.2

3.

FLASHCARD QUESTION

Front

Back

To factor, find two numbers that multiply to -14 and add to -5. The factors are (m - 7)(m + 2) = 0.

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

What does it mean to solve a quadratic equation by factoring?

Back

It means to express the quadratic equation as a product of two binomials and then set each factor to zero to find the solutions.

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

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