CCSS.Math.Content.HSA.REI.B.4

How many roots will the equation: -4x^2  - 12x + 4= 1 have?

• 1
• 2
• 3
• none

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CCSS.Math.Content.HSA.REI.B.4

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec.  This can be modeled with the function h(t) = -16t² + 96t.  When does the rocket hit the ground?

• 7 seconds
• 6 seconds
• 3 seconds
• 8 seconds

Tags

CCSS.Math.Content.HSA.REI.B.4

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Tags

CCSS.Math.Content.HSA.REI.B.4

Solve x² - 5x + 10 = 0

• (5 - i√15)/2  ,  (5 + i√15)/2
• (5 - √15)/2  ,  (5 + √15)/2
• (5 - i√65)/2  ,  (5 + i√65)/2
• (5 - √65)/2  ,  (5 + √65)/2

Tags

CCSS.Math.Content.HSA.REI.B.4

Solve by factoring.
3a² - 12a + 12 = 0

• -2
• 2
• 2/3
• 5

Tags

CCSS.Math.Content.HSA.REI.B.4

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6
• x = 3 and x = -6
• x = -9 and x = 2
• x = 9 and x = -2

Tags

CCSS.Math.Content.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

Tags

CCSS.Math.Content.HSA.REI.B.4

Which is the vertex of y = x²+ 16x + 71 ?

• V(-8, 7)

• V(-8, 3)

• V(8, 10)

• V(16, -2)

Tags

CCSS.Math.Content.HSA.REI.B.4

A ball was launched into the air with an initial upward velocity of 100 ft/s. The ball was 5 ft off of the ground when it was launched.The equation for the ball is h(t)= -16t²+100t+5, approximately what is the maximum height?

• 3 feet

• 100 feet

• 161 feet

• 5 feet

Tags

CCSS.Math.Content.HSA.REI.B.4

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.Math.Content.HSA.REI.B.4