Midterm Quadratics Review Challenge

This video tutorial reviews unit three on quadratics, covering powers of I, simplification, and various methods for solving quadratic equations, including factoring, the square root method, completing the square, and the quadratic formula. It also explains the discriminant and its role in determining the nature of solutions.

What is the result of (4^3 * i^3)?

• -64i

• 64i

• 64

• -64

How do you simplify the square root of 400?

• 20

• 10

• 40

• 30

What are the solutions to the equation (x^2 - 36 = 0) when solved by factoring?

• x = 6, x = -6

• x = 0, x = 6

• x = 0, x = -6

• x = 6, x = 2

What is the first step in solving (2x^2 + 3 = 67) using the square root method?

• Divide by 2

• Multiply by 2

• Subtract 3 from both sides

• Add 3 to both sides

What is the solution to (x^2 = 32) using the square root method?

• x = ±4√2

• x = ±2√8

• x = ±8

• x = ±16

What is the first step in completing the square for the equation (x^2 + 8x + 5 = 0)?

• Multiply by 2

• Add 5 to both sides

• Subtract 5 from both sides

• Divide by 2

What value should be added to both sides to complete the square for (x^2 + 8x = -5)?

• 16

• 8

• 4

• 2

What is the quadratic formula?

• x = -b ± √(b^2 - 4ac) / 2a

• x = -b ± √(b^2 - 4ac) / a

• x = b ± √(b^2 - 4ac) / 2a

• x = -b ± √(b^2 + 4ac) / 2a

What is the discriminant of the quadratic equation (x^2 + 7x + 12 = 0)?

• 49

• 1

• 0

• 36

What does a negative discriminant indicate about the solutions of a quadratic equation?

• No real solutions

• Infinite solutions

• One real solution

• Two real solutions