4.5 Solving Quadratic Equations Lesson Check

4.5 Solving Quadratic Equations Lesson Check

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What are the zeros, roots, and solutions of a quadratic equation?

Back

The zeros, roots, and solutions of a quadratic equation are the values of x that make the equation equal to zero. They represent the x-intercepts of the graph of the quadratic function.

2.

FLASHCARD QUESTION

Front

Solve the quadratic equation: x^2 - 49 = 0

Back

x = -7, x = 7

3.

FLASHCARD QUESTION

Front

Solve the quadratic equation: (x - 9)(x + 3) = 0

Back

x = -3 or x = 9

4.

FLASHCARD QUESTION

Front

True or False: The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

Back

True

5.

FLASHCARD QUESTION

Front

What is the first step to solve the equation x^2 + 6x = 5 using the quadratic formula?

Back

Subtract 5 from both sides to set the equation to zero.

6.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.

7.

FLASHCARD QUESTION

Front

What does the discriminant (b² - 4ac) tell us about a quadratic equation?

Back

The discriminant indicates the nature of the roots: if it's positive, there are two distinct real roots; if it's zero, there is one real root; if it's negative, there are two complex roots.

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