Algebra II: The Quadratic Formula Assignment

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Graph ________ has a negative discriminant.

Graph A

Complete the statements. Graph ________ has one real root.

Graph B

Graph ________ has an equation with co-efficients

Graph C

4y - 7 = 5x^2 - x + 2 + 3y...

No real solutions Answer (A)

Determine the number of real solutions each quadratic equation has. y = 12x^2 - 9x +4...

No real solutions Answer (A)

Is the solution shown correct? 9x + 2 = 8x^2 + 6x.......

No. The formula was not simplified correctly. The 64 should have been added. The radicand should be 73. There should be two real roots.

y = (-x + 4)^2...

One real solution Answer (B)

Fill in the missing steps for the derivation of the quadratic formula using the choices below.

Step 3: B... Step 5: D... Step 6: A... Step 8: C...

Which of the statements about the following quadratic equation are true?

The discriminant is greater than zero, so there are two real roots. Answer (A)

10x + y = x^2 + 2...

Two real solutions Answer (C)

Choose the equation that represents the solutions of 0 = 0.25x^2 - 8x.

X = 8 ± √(-8)^2 - 4(0.25)(0)/2(0.25) Answer (C)

The height (h), (in feet) of an object (t) seconds after it is dropped can be modeled by the quadratic equation h = -16t^2 + h0, where h0 is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation, h = -16t^2 + 255 for (t), using the quadratic formula to determine the time it takes the rock to reach the canyon floor.

t ≠ 4s Answer (B)

Solve each of the quadratic equations. 3x = 0.5x^2...

x = 0 x = 6 Answer (D)

0 = 5x^2 - 2x + 6...

x = 1 ± i√29/5 Answer (C)


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