Solutions to Quadratics

Solutions to Quadratics

Assessment

Flashcard

Mathematics

9th Grade

Practice Problem

Hard

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

+1

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What are the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero. They can be found using factoring, completing the square, or the quadratic formula.

Tags

CCSS.HSA-REI.B.4B

2.

FLASHCARD QUESTION

Front

What is the axis of symmetry in a quadratic graph?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It passes through the vertex of the parabola.

3.

FLASHCARD QUESTION

Front

What is a vertex in the context of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, depending on the direction of the parabola.

4.

FLASHCARD QUESTION

Front

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

Back

If a quadratic equation has no real solutions, it means that the graph of the equation does not intersect the x-axis. This occurs when the discriminant is less than zero.

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

5.

FLASHCARD QUESTION

Front

How can you determine the number of solutions a quadratic equation has?

Back

The number of solutions can be determined by calculating the discriminant (b² - 4ac). If it's positive, there are two solutions; if zero, one solution; if negative, no real solutions.

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

What are x-intercepts?

Back

X-intercepts are the points where the graph of a function crosses the x-axis. For a quadratic function, these points correspond to the roots of the equation.

Tags

CCSS.HSF-IF.C.7C

7.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is written as ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

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