Unit Test — Unit test Answers — Sem 2

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

The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 34i. Which statement must be true about the complex numbers?

The complex numbers have equal imaginary parts.

The complex numbers have equal real parts.

The complex numbers have opposite imaginary parts.

The complex numbers have opposite real parts.

Which statement about the following equation is true?2x2 – 9x + 2 = –1

The discriminant is less 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 real roots.

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

Which equation demonstrates the multiplicative identity property?

(negative 3 + 5 i) + 0 = negative 3 + 5 i

(negative 3 + 5 i ) (1) = negative 3 + 5 i

(negative 3 + 5 i) (negative 3 + 5 i) = negative 16 minus 30 i

(negative 3 + 5 i) (3 minus 5 i) = 16 + 30 i

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

✓ Correct

Option

t < 2

What is the absolute value of the complex number ?

StartRoot 14 EndRoot

3 StartRoot 2 EndRoot

Which equation represents a graph with a vertex at (–3, 2)?

y = 4x2 + 24x + 38

y = 4x2 – 24x + 38

y = 4x2 + 12x + 2

y = 4x2 + 16x + 13

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 the zero product property to find the solutions to the equation x2 + x – 30 = 12.

x = –7 or x = 6

x = –7 or x = –6

x = –6 or x = 7

x = 6 or x = 7

Use the zero product property to find the solutions to the equation 6x2 – 5x = 56.

x = –8 or x =

x = or x =

What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?

mc008-1.jpg

mc008-2.jpg

mc008-3.jpg

mc008-4.jpg

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

StartRoot 7 EndRoot

StartRoot 29 EndRoot

Which function is a quadratic function?

a(x) = –2x3 + 2x – 6

b(x) = 5x3 + 8x2 + 3

c(x) = –8x2 + 3x – 5

d(x) = 6x4 + 2x – 3

What is the solution set of the quadratic inequality

Option

✓ Correct

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

A soccer ball is kicked upward from a hill and then falls to the ground. The height, in feet, of the ball after t sec is modeled by the function h(t) = –16t2 + 26t +12. What is the initial height of the ball?

–16 ft

–12 ft

12 ft

22 ft

Which function is a quadratic function?

y – 3x2 = 3(x2 + 5) + 1

y2 – 7x = 2(x2 + 6) + 7

y – 2x2 = 6(x3 + 5) – 4

y – 5x = 4(x + 5) + 9

The length of a rectangle is three times the width. The area of the rectangle is 108 sq in. What is the width of the rectangle?

6 in.

9 in.