Problems Solving with Quadratic Equations

When a quadratic equation has a discriminant that is ZERO, what type of solution does it have?

• two imaginary solutions

• two real solutions

• one real solution, one imaginary solution

• no solution

• one real solution

Tags

CCSS.HSA-REI.B.4B

Determine the discriminant: 9x^2 + 6x + 6 = 5

Tags

CCSS.HSA-REI.B.4B

Determine the discriminant: -9x^2 = -8x + 8

Tags

CCSS.HSA-REI.B.4B

In a quadratic word problem, what could the VERTEX possibly represent? Select all that could apply.

• Highest profits

• Lowest requirements

• Largest area

• Smallest measurements

• Rate of Change

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

A diver is standing on a platform above the pool. He jumps from the platform with an initial upward velocity of 8 ft/s. Use the formula h(t) = −16t² + 8t + 24, where h is his height above the water, t is the time, v is his starting upward velocity, and s is his starting height. How high is the platform?

(type ONLY the number of feet, no variable or any other symbols will be accepted)

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.

h = -5t² + 45

When is the ball at ground level?

(type ONLY the number of seconds, no variable or any other symbols will be accepted)

When graphed, do real solutions to equations cross the x-axis?

• Yes, real solutions cross the x-axis

• No, real solutions do not cross the x-axis

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B