Solving Quadratic Equations Methods

Solving Quadratic Equations Methods

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This video tutorial covers solving quadratic equations using different methods: factoring, completing the square, and the quadratic formula. The instructor explains when to use each method based on the equation's structure, providing examples for each approach. The quadratic formula is highlighted as a universal method, while factoring and completing the square are presented as more efficient options when applicable. The tutorial concludes with advanced examples and a summary of best practices for solving quadratic equations.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus of this lesson?

Solving cubic equations

Solving linear equations

Solving quadratic equations

Solving differential equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is used to solve the equation with a=1, b=-6, c=7?

Graphing

Quadratic formula

Completing the square

Factoring

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the factors of -7 that add up to -6?

-4 and 3

-5 and 2

-6 and 1

-7 and 1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is considered the most efficient if applicable?

Graphing

Factoring

Quadratic formula

Completing the square

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in completing the square for x^2 + 8x + 1?

Divide by 2

Multiply by 2

Subtract 1 from both sides

Add 16 to both sides

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of adding 36 to both sides in the equation x^2 + 12x = -4?

x^2 + 12x + 36 = 36

x^2 + 12x + 36 = 0

x^2 + 12x + 36 = 40

x^2 + 12x + 36 = 4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the pattern for the difference of squares?

x^2 + y^2 = (x - y)(x + y)

x^2 - y^2 = (x - y)(x - y)

x^2 - y^2 = (x + y)(x - y)

x^2 + y^2 = (x + y)(x - y)

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