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Simplify This!! Solving Quadratics What Form? Misc.

(x – 4)(x + 8) A 100

x² + 4x - 32 A 100

A 200 Write in a + bi form (9 – 2i)² Show all work!

77+36i A 200

Question Number Three A A 300 Write in a + bi form

A 300

A 400 Write in a + bi form

-3 A 400

A 500 Write in a + bi form Show all steps!

A 500

Solve 8x² = 392 B 100

x = ±7 B 100

Solve for q. Put answer in simplified radical form. (no decimals) B 200

Correct Response Two B B 200

For what values of c does the equation 3x x + c = 0 have a. one real root? b. two real roots? c. two nonreal roots? B 300

a. one real root? c = b. two real roots? c < c. two nonreal roots? c > B 300

Jake throws a ball from a height of 8 feet with an initial upward velocity of 28 ft/sec. a. Give an equation for the height of the ball after t seconds. b. Find the maximum height the ball reaches to the nearest foot. B 400

a. h = -16t² + 28t + 8 b ft B 400

Adriana stands on top of a bridge in California and drops a rock into the ocean. It takes 5.4 seconds to hit the water. Find the height from which she dropped the rock. Round to the nearest meter. B 500

143 meters B 500

C 100 Suppose that the graph of y = 5x² is translated 3 units to the right and 6 units down. Write an equation in vertex form for the image.

Correct Response One C C 100

Write an equation for a parabola with vertex (-3, 7) that is congruent to y = 4x 2 and opens up. C 200

y – 7 = 4(x + 3)² C 200

Rewrite in standard form. y – 7 = 4(x + 3)² C 300

y = 4x² +24x + 43 C 300

C 400

Rewrite the equation y = x x + 15 in vertex form. C 400

y + 66 = (x + 9)² C 400

A city is building an Olympic-size swimming pool, 25 meters by 50 meters, with a concrete walkway around it as shown at the right. The walkway will be 5 meters wide between the pool and the bathhouse, and w meters wide around the other three sides. Find an expression in standard form for the total area of the walkway and pool. C 500

2w² + 135w C 500

D 100

(5, -2)

D 200

Question Number Three D D 300

Solve for x 5x² + 8 = 188 D 400

x = ±6 D 400

A puppy measures 15” long at birth, 22” at 6 months, and 28” at one year. a. Find an equation giving the puppy’s length y as a function of it’s age x in months. b. Estimate it’s length at 18 months. c. Explain why your equation cannot be used to estimate the length of a 6 year old dog. D 500

a. b.33 inches c.Either: The dog will quit growing before 6 years of age – or – The parabola starts decreasing after the vertex and the dog will not shrink in size. D 500

Question Number One E E 100

Correct Response One E E 100

Question Number Two E E 200

Correct Response Two E E 200

Question Number Three E E 300

Correct Response Three E E 300

Question Number Four E E 400

Correct Response Four E E 400

Question Number Five E E 500

Correct Response Five E E 500

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