Solving Quadratic Equations

A lizard is jumping across the water in search of food. The equation h = -12t² + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water?

• 0.1 seconds

• 0.25 seconds

• 0.50 seconds

• 0.75 seconds

• 1 second

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 = -16t^2 + 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

Tags

CCSS.HSA-REI.B.4B

Solve the equation by taking square roots:

Tags

CCSS.HSA-REI.B.4B

Solve the quadratic equation by taking the square roots. Allow for imaginary solutions.

Tags

CCSS.HSA-REI.B.4B

Solve the quadratic equation by taking the square roots. Allow for imaginary solutions.

Tags

CCSS.HSA-REI.B.4B

Solve by taking the square root:
x² = 49

• -7

• 7

• 49

• -7, 7

Tags

CCSS.HSA-REI.B.4B

x² -4 = 77

• 9

• -9

• No Real Solutions

• 9, -9

Tags

CCSS.8.EE.A.2

Solve.

4x² - 7 = -10

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve by taking the square root:
4x² = 100

• -10, 10

• -25, 25

• -5, 5

• 5

Tags

CCSS.8.EE.A.2