Retake Retake Unit 2 Flashcard 3 Part A

Retake Retake Unit 2 Flashcard 3 Part A

Assessment

Flashcard

Mathematics

10th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation in the form ax^2 + bx + c = 0. It is given by x = (-b ± √(b² - 4ac)) / (2a).

2.

FLASHCARD QUESTION

Front

How do you solve a quadratic equation by factoring?

Back

To solve a quadratic equation by factoring, express the equation in the form (px + q)(rx + s) = 0, then set each factor to zero and solve for x.

3.

FLASHCARD QUESTION

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, given by b² - 4ac. It determines the nature of the roots: if positive, there are two real roots; if zero, one real root; if negative, two complex roots.

4.

FLASHCARD QUESTION

Front

Solve for x: 2x^2 - 10x + 11 = 0

Back

x = (5 + √3) / 2, x = (5 - √3) / 2.

5.

FLASHCARD QUESTION

Front

Solve for x by factoring: 4x^2 + 5 = 6

Back

x = ± 1/2.

6.

FLASHCARD QUESTION

Front

Solve for x by factoring: x^2 + 10x = 24

Back

x = {-12, 2}.

7.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

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

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