Answers FL-1200330-Algebra 2 CRUnit Test

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A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after t seconds is given by h = –16t2 + 112t. What is the interval of time during which the projectile's height exceeds 192 feet?

3 < t < 4

t < 4

t > 4

3 > t > 4

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What is the value of ?

–3 + 6i

3 + 6i

5 + 5i

5 – 5i

A quadratic inequality contains the values less than or equal to the quadratic function that has a vertex of (–9, –27) and contains the point on the boundary.

y less-than-or-equal-to two-thirds (x minus 9) squared + 27

y less-than-or-equal-to negative two-thirds (x minus 9) squared + 27

y less-than-or-equal-to two-thirds (x + 9) squared minus 27

y less-than-or-equal-to negative two-thirds (x + 9) squared minus 27

A company’s profit is modeled by the quadratic function with zeros 6 and 42. The point (15, 81) is on the boundary line. Any values above the boundary line exceed the expected profits.

y less-than one-third x squared + 16 x minus 84

y greater-than negative one-third x squared + 16 x minus 84

y less-than negative one-third x squared + 16 x minus 84

y greater-than one-third x squared minus 16 x + 84

Which equation has a graph that lies entirely above the x-axis?

y = –(x + 7)2 + 7

y = (x – 7)2 – 7

y = (x – 7)2 + 7

y = (x – 7)2

Which statement about the following equation is true?3x2 – 8x + 5 = 5x2

The discriminant is less than 0, so there are two real roots.

The discriminant is greater than 0, so there are two real roots.

The discriminant is less than 0, so there are two complex roots.

The discriminant is greater than 0, so there are two complex roots.

Use completing the square to solve for in the equation .

x = –1 or 15

x = 1 or 7

x = 4 plus-or-minus StartRoot 41 EndRoot

x = 4 plus-or-minus StartRoot 73 EndRoot

What is the absolute value of the complex number ?

StartRoot 14 EndRoot

3 StartRoot 2 EndRoot

Which values of p and q would make the value of the following expression equal to 58i? (3 – 7i)(p + qi)i

p = 3, q = 7

p = –3, q = 7

p = 3, q = –7

p = –3, q = –7

Using the quadratic formula to solve 4x2 – 3x + 9 = 2x + 1, what are the values of x?

StartRoot 1 plus-or-minus StartRoot 159 EndRoot i Over 8 EndFraction

StartRoot 5 plus-or-minus StartRoot 153 EndRoot i Over 8 EndFraction

StartRoot 5 plus-or-minus StartRoot 103 EndRoot i Over 8 EndFraction

StartRoot 1 plus-or-minus StartRoot 153 EndRoot Over 8 EndFraction

The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film the person between 15 m and 10 m above the ground. For which interval of time should the camera film the person?

Option

t < 2

If x2 + mx + m is a perfect-square trinomial, which equation must be true?

x2 + mx + m = (x – 1)2

x2 + mx + m = (x + 1)2

x2 + mx + m = (x + 2)2

x2 + mx + m = (x + 4)2

What is the distance from the origin to point P graphed on the complex plane below?

StartRoot 7 EndRoot

StartRoot 29 EndRoot

The graph below shows the height of a projectile t seconds after it is launched. If acceleration due to gravity is –16 ft/s2, which equation models the height of the projectile correctly?h(t) = at2 + vt + h0

h(t) = –16t2 + 42t + 5

h(t) = –16t2 + 5

h(t) = –16t2 + 32

h(t) = –16t2 + 32t + 5

Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of the smaller square is the area of the original square. What was the side length of the original square?A = s2

1 in.

2 in.

6 in.

12 in.

Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?

y = 9 (x + one-half) squared minus thirteen-fourths

y = 9 (x + one-half) squared minus 1

y = 9 (x + one-half) squared + five-fourths

y = 9 (x + one-half) squared minus five-fourths

When a baseball is hit by a batter, the height of the ball, h(t), at time t, , is determined by the equation . If t is in seconds, for which interval of time is the height of the ball greater than or equal to 52 feet?