Solving Square Root and Quadratics Practice

• x = 3 and -4

• x = -3 and 4

• x = 3 and 4

• x = -3 and -4

• x = -1 ± √6

• x = 1 ± √6

• x = 6 ± √1

• x = -6 ± √1

• x = -5 ± √30

• x = 5 ± √30

• x = 5 ± √5

• x = -5 ± √5

Which line contains a mathematical error when completing the square?

• Line 1

• Line 2

• Line 3

• Line 4

• There is no error

The work above shows the first two steps to solve by completing the square. Which description correctly describes the error that was made?

• They needed to add -1 to both sides.

• They needed to factor out the 2 so a = 1.

• They needed to take the square root of 4 first.

• They needed to add 4 to both sides.

We are standing on the top of a 1680 ft tall building and throw a small object upward. At every second, we measure the distance of the object from the ground. Exactly t seconds after we threw the object, its height, (measured in feet) is h(t)=-16t^2+256t+1680. How long does it take for the object to reach a height of 2640 feet? Practice solving by completing the square.

• 2 & 6 seconds

• 4 & 8 seconds

• 6 & 10 seconds

• 8 & 12 seconds

On dry asphalt the distance d (in feet) needed for a car to stop is given by d=0.05s^2+1.1s where s is the car’s speed (in miles per hour). What speed limit should be posted on a road where drivers round a corner and have 80 feet to come to a stop? Round to the nearest whole number. Practice solving by completing the square.

• 52 mph

• 35 mph

• 40 mph

• 30 mph

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is the least squares formula

Which of the following would be the best first step in using the quadratic formula to solve a quadratic equation?

• Identify A, B, and C

• Set one side of the equation equal to zero

Determine the values of

a, b, and c for

the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3