Solving Non-Zero Quadratic Equations

This video tutorial is the final part of a series on solving quadratic equations. It covers how to rearrange equations to make them equal zero, factorize them, and find solutions. The tutorial also addresses handling equations with different signs and the process of expanding and rearranging equations before solving. The video provides examples and practice problems to reinforce these concepts.

What is the first step in solving a quadratic equation that is not initially set to zero?

• Graph the equation

• Rearrange to set one side to zero

• Substitute values to find solutions

• Factorize immediately

Tags

CCSS.HSA-REI.B.4B

Which pair of numbers multiplies to 6 and adds up to 5?

• 3 and 3

• 1 and 6

• 2 and 4

• 2 and 3

Tags

CCSS.HSA-REI.B.4B

What is the solution set for the equation x^2 + 5x + 6 = 0 after factorization?

• x = 3, x = 2

• x = -3, x = -2

• x = -6, x = -5

• x = 6, x = 5

Tags

CCSS.HSA-REI.B.4B

For the equation x^2 - 3x - 28 = 0, which numbers are used in the factorization?

• 3 and 9

• 4 and 7

• 6 and 4

• 5 and 5

Tags

CCSS.HSA-REI.B.4B

Which of the following is a correct step in the process of solving quadratic equations?

• Always move the x term to the right

• Ignore constant terms

• Change the sign when moving terms across the equals sign

• Multiply each term by x

Tags

CCSS.HSA-REI.B.4B

What is the correct method to start solving an equation like x^2 + 8x + 24 = 14?

• Substitute x with possible values

• Divide all terms by 2

• Set the equation to zero by rearranging

• Factorize directly

Tags

CCSS.HSA-REI.B.4B

After expanding and rearranging x^2 + 8x + 3x + 24 = 14, what is the simplified form?

• x^2 + 14x + 10 = 0

• x^2 + 11x + 10 = 0

• x^2 + 11x + 38 = 0

• x^2 + 5x + 10 = 0

Tags

CCSS.HSA-REI.B.4B

When factorizing x^2 + 11x + 10 = 0, which factors are correct?

• x + 11, x + 10

• x - 11, x - 10

• x - 10, x - 1

• x + 10, x + 1

Tags

CCSS.HSA-REI.B.4B

In the equation x^2 - 11x + 10 = 0, what are the correct solutions?

• x = -11, x = -10

• x = -10, x = -1

• x = 10, x = 1

• x = 11, x = 10

Tags

CCSS.HSA-REI.B.4B

What are the solutions for the equation x^2 - 11x + 10 = 0?

• x = -10, x = -1

• x = 10, x = 1

• x = 11, x = 10

• x = -11, x = -10

Tags

CCSS.HSA-REI.B.4B