Solving Quadratic Equations and Inequalities

Judy from AP reviews quadratic functions, equations, and inequalities. The video covers when to use the quadratic formula, solving equations by factoring, and applying these skills to real-world problems. Examples demonstrate solving quadratic equations and inequalities, emphasizing procedural fluency and reasoning. The video concludes with a recap of skills necessary for AP pre-calculus readiness.

What is the main topic of the video tutorial?

• Calculus derivatives

• Quadratic functions

• Trigonometric identities

• Linear equations

What is the discriminant in the quadratic formula?

• 4AC minus B squared

• B squared minus 4AC

• 2A plus B

• A squared plus B squared

When should you use the quadratic formula?

• When the equation is linear

• When B squared minus 4AC is not a perfect square

• When B squared minus 4AC equals zero

• When B squared minus 4AC is a perfect square

What are the factors of the equation x squared minus 5x minus 14 equals zero?

• x plus 5 and x minus 14

• x plus 7 and x minus 2

• x minus 7 and x plus 2

• x minus 5 and x plus 14

What is the solution to the equation x squared minus 2x plus 1 equals zero?

• x equals 1

• x equals 2

• x equals 0

• x equals -1

What is the approximate solution to the equation 2x squared minus 3x plus 20 equals x squared plus 34?

• x is approximately 5.53 or -2.53

• x is approximately 3.53 or -1.53

• x is approximately 4.53 or -3.53

• x is approximately 2.53 or -4.53

How do you solve the inequality 5X squared plus 3x minus 10 is less than zero?

• By using calculus derivatives

• By using trigonometric identities

• By using linear equations

• By using the quadratic formula

What is the range of x for the inequality 5X squared plus 3x minus 10 is less than zero?

• x is less than 1.146 and greater than -1.746

• x is greater than 2.146 and less than -2.746

• x is greater than 1.146 and less than -1.746

• x is less than 2.146 and greater than -2.746

What is the height equation for the ball catapulted upward?

• h of T equals -16 t squared plus 80t plus 40

• h of T equals 16 t squared plus 80t plus 40

• h of T equals 16 t squared minus 80t plus 40

• h of T equals -16 t squared minus 80t plus 40

How long does it take for the ball to reach a height of 100 feet?

• 0.92 seconds and 4.08 seconds

• 3.92 seconds and 7.08 seconds

• 1.92 seconds and 5.08 seconds

• 2.92 seconds and 6.08 seconds