Unit 4-2 Assessment Review: Solving Quadratics A.7B, A.8A, A.10E

Convert x²-6x+9 to factored form and identify the solution.

• (x-3)(x-3); x=3
• (x+3)(x+3); x=-3
• (x+4)(x+2); x=-4, -2
• Not factorable

Solve by taking square roots:
4m² - 100 = 0

• m=25, -25
• m=96
• m=5, -5
• m=-96

Factor:

5x² - 28x + 32

• (3x-10)(x+6)

• (x-8)(5x-4)

• (5x-8)(x-4)

• (5x-8)(x+4)

solve:  
4x²+16x+15=0

• -5/2,-3/2
• (2x+5)(2x+3)
• -10,-6
• 5/2, 3/2

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution

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A fountain shoots water in an arc over a lake that can be modeled by the graph of the equation y= -0.4x² + 8x where x is the horizontal distance (in feet) from the fountain base and y is the height (in feet) above the river.  How high does the water go?

• It goes 11.78 feet high
• It goes 20 feet high
• It goes 40 feet high
• It goes 10 feet high

You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h = -4t² + 2t models her jump where h is her jump's height in feet t seconds after the mummy scares her. When did she reach her maximum height?

• 0.1 seconds

• 0.25 seconds

• 0.50 seconds

• 1 second

• 2 seconds

Solve the quadratic.

• 9

• -9

• 0, 9

• 0, -9