Solving Quadratic Equations Word Problems

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

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)

The sum of a number and its square is 72. Find the number.

• 8 or 9

• 8 or -9

• -8 or 9

• -8 or -9

What is the equation that is also called second degree equation?

• Cubic Equation

• Linear Equation

• Polynomial Equation

• Quadratic Equation

The sum of a number and its square is 72. Find the number(s).

• 8 or 9

• 8 or -9

• -8 or 9

• -8 or -9

The area of a garden is X² -120X + 3500 ft². What are the expressions for the length and width in terms of feet?

• X + 50, X + 80

• X - 50 , X +70

• X - 50, X - 70

• 50, 70

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation: h = -16t² + 80 About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds

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. When is the ball at ground level?

• only at t = 0 seconds

• only at t = 3 seconds

• only at t = 9 seconds

• at both t = 0 seconds and t = 3 seconds

If you square 5 more than a positive number, the result is 88 more than 12 times the number. Find the number.

• 7

• -7

• 9

• -9

One number is 3 more than another. The sum of their squares is 149. Find the numbers.

• 4 and 7; -4 and -7

• 5 and 8; -5 and -8

• 6 and 9; -6 and -9

• 7 and 10, -7 and -10