Solving Quadratic Equations and Inequalities

What are the two methods mentioned for solving quadratic equations?

• Completing the square and graphing

• Using the quadratic formula and graphing

• Factoring and using the quadratic formula

• Factoring and completing the square

In the equation x^2 + 4x + 3 = 0, what are the factors?

• (x + 1)(x + 3)

• (x - 1)(x - 3)

• (x - 2)(x - 1)

• (x + 2)(x + 2)

For the equation x^2 - 5x - 6 = 0, what are the solutions?

• x = -1 or x = 6

• x = 1 or x = -6

• x = 1 or x = 6

• x = -1 or x = -6

What is the first step in solving 3x^2 - 5x - 9 = x^2 + 3?

• Subtract 3 from both sides

• Add 3 to both sides

• Subtract x^2 from both sides

• Add x^2 to both sides

What is the quadratic formula?

• x = (b ± √(b^2 - 4ac)) / 2a

• x = (b ± √(b^2 + 4ac)) / 2a

• x = (-b ± √(b^2 - 4ac)) / 2a

• x = (-b ± √(b^2 + 4ac)) / 2a

For the equation 2x^2 + 8x + 7 = 0, what are the solutions using the quadratic formula?

• x = -1.29 or x = 2.71

• x = 1.29 or x = -2.71

• x = 1.29 or x = 2.71

• x = -1.29 or x = -2.71

In the inequality 4x^2 - 12x + 1 < 0, what is the range of x?

• x > 0.09 and x > 2.91

• x > 0.09 and x < 2.91

• x < 0.09 and x < 2.91

• x < 0.09 and x > 2.91

What is the height equation for a ball catapulted upward from a building?

• h(t) = 16t^2 + 30t - 40

• h(t) = -16t^2 - 30t + 40

• h(t) = -16t^2 + 30t - 40

• h(t) = 16t^2 - 30t + 40

At what times does the ball reach a height of 50 feet?

• 0.43 seconds and 1.44 seconds

• 0.34 seconds and 1.44 seconds

• 0.34 seconds and 1.54 seconds

• 0.43 seconds and 1.54 seconds

What is the first step in solving a word problem involving quadratic equations?

• Identify the height

• Identify the time

• Substitute the given values into the equation

• Convert the equation to standard form