Quadratic Word Problems

Solve by factoring.
15 = 8x² - 14x

• x = -5 or x = 3/8
• x = -2/5 or x = 4/3
• x = -3 or x = 5/8
• x = -3/4 or x = 5/2

Tags

CCSS.HSA-REI.B.4B

Solve.

3z² + 3z - 6 = 0

• z = 1 or z = -2

• z = 1 or z = 2

• z = 3 or z = -2

• z = 3 or z = 2

Tags

CCSS.HSA-REI.B.4B

Solve by factoring:3x² + 5x + 2 = 0  

• x = -2/3 and x = -1
• x = -3/2 and x = -1
• x = 2/3 and x = 1
• x = 2/3 and x = -1

Tags

CCSS.HSA-REI.B.4B

Solve by factoring:  2x²+ 7x + 6 = 0

• x= 3/2 and x = 2
• x = -3/2 and x = -2
• x = 6 and x = 7
• x = -6 and x = -7

Tags

CCSS.HSA-REI.B.4B

Solve the quadratic equation.

3x² + 15x = -18

• 3 (x + 3)(x + 2)

• (3x - 2)(x - 9)

• x = {-3, -2}

• x = {1/2, 9}

Tags

CCSS.HSA-REI.B.4B

Find the solutions.

x² - 11x + 18 = 0

• (x - 9)(x - 2)

• x = {-2, -9}

• x = {2, 9)

• (x + 9)(x + 2)

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

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?

• only at t = 0 seconds

• only at t = 3 seconds

• only at t = 9 seconds

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

The function
f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground? 

• 4 seconds
• -2 seconds
• 6 seconds
• 9 seconds

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve the word problem: How fast would you reach the water if you jump of a cliff using the formula: h(t) = -16t² + 8t + 24?

• 8

• 1

• 1.5

• 1/4