Mastering Quadratic Equations through Completing the Square

What is the main purpose of completing the square?

• To eliminate the variable x

• To find the roots of a cubic equation

• To make the quadratic equation into a perfect square

• To convert a quadratic equation into a linear equation

Tags

CCSS.HSA-REI.B.4B

In the equation x^2 - 4x = 5, what value is added to both sides to complete the square?

• 16

• 2

• 8

• 4

Tags

CCSS.HSA-REI.B.4B

What are the solutions to the equation x^2 - 4x = 5 after completing the square?

• x = 2 ± 3

• x = 2 ± 2

• x = 2 ± 4

• x = 2 ± 1

Tags

CCSS.HSA-REI.B.4B

Which method can be used as an alternative to completing the square for solving x^2 - 4x = 5?

• Elimination

• Substitution

• Factoring

• Graphing

Tags

CCSS.HSA-REI.B.4B

What is the factored form of the equation x^2 - 4x - 5 = 0?

• (x - 5)(x + 1)

• (x + 5)(x + 1)

• (x - 1)(x + 5)

• (x - 5)(x - 1)

Tags

CCSS.HSA-REI.B.4B

In the equation 10x^2 - 30x - 8 = 0, what is the first step to simplify it?

• Divide by 2

• Subtract 30x from both sides

• Add 8 to both sides

• Divide by 10

Tags

CCSS.HSA-REI.B.4B

After dividing the equation 10x^2 - 30x - 8 = 0 by 2, what is the resulting equation?

• 5x^2 - 30x - 4 = 0

• 10x^2 - 15x - 4 = 0

• 5x^2 - 15x - 8 = 0

• 5x^2 - 15x - 4 = 0

Tags

CCSS.HSA-REI.B.4B

What value is added to both sides of the equation x^2 - 3x = -4/5 to complete the square?

• 9/4

• 3/2

• 4/5

• 3/4

Tags

CCSS.HSA-REI.B.4B

What is the approximate positive solution to the equation 10x^2 - 30x - 8 = 0 after completing the square?

• 0.246

• 1.246

• 2.246

• 3.246

Tags

CCSS.HSA-REI.B.4B

What is the approximate negative solution to the equation 10x^2 - 30x - 8 = 0 after completing the square?

• -3.246

• -2.246

• -1.246

• -0.246

Tags

CCSS.HSA-REI.B.4B