Answers DCSS Advanced Algebra CR 24-25Unit Test

Unit Test — Unit test Answers

25 verified answers

What is the following product? Assume

80 x Superscript 4 Baseline + 8 x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x Superscript 4

80 x Superscript 6 Baseline + 8 x Superscript 5 Baseline + 8 x Superscript 5 Baseline StartRoot 30 EndRoot + 24 x Superscript 4

104 x Superscript 4

104 x Superscript 4 + 16 x Superscript 4 Baseline StartRoot 30 EndRoot

Free Preview

What is the following simplified product? Assume

10 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus 10 x Superscript 4 Baseline StartRoot 3 EndRoot + x squared StartRoot 15 x EndRoot

11 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus x Superscript 4 Baseline StartRoot 75 EndRoot + x squared StartRoot 15 EndRoot

10 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus 10 x Superscript 4 Baseline StartRoot 3 EndRoot minus x squared StartRoot 15 EndRoot

11 x Superscript 4 Baseline StartRoot 6 EndRoot + x cubed StartRoot 30 x EndRoot minus 10 x Superscript 4 Baseline StartRoot 3 EndRoot minus x cubed StartRoot 15 x EndRoot

Which function is undefined for x = 0?

y = RootIndex 3 StartRoot x minus 2 EndRoot

y = StartRoot x minus 2 EndRoot

y = RootIndex 3 StartRoot x + 2 EndRoot

y = StartRoot x + 2 EndRoot

What is the solution of ?

x = –3

x = 4

x = –3 or x = 4

no solution

What is the solution of ?

x = 142

x = 232

x = 322

no solution

Which expression is equivalent to ?

216

1,728

RootIndex 3 StartRoot 12 EndRoot

RootIndex 3 StartRoot 72 EndRoot

What value of c makes the equation true? Assume and

c = 12

c = 16

c = 64

c = 81

Kaylib’s eye-level height is 48 ft above sea level, and Addison’s eye-level height is ft above sea level. How much farther can Addison see to the horizon? Use the formula , with d being the distance they can see in miles and h being their eye-level height in feet.

Which of the following describes the graph of compared to the parent cube root function?

stretched by a factor of 2 and translated 64 units right and 5 units down

stretched by a factor of 8 and translated 8 units right and 5 units down

stretched by a factor of 2 and translated 8 units right and 5 units down

stretched by a factor of 8 and translated 64 units right and 5 units down

Mario invested $6,000 in an account that pays 5% annual interest compounded annually. Using the formula A = P(1 + r)t, what is the approximate value of the account after 2.5 years?

$6,075

$6,118

$6,456

$6,778

Which expression is equivalent to ? Assume and .

2 a cubed (RootIndex 4 StartRoot 9 b cubed EndRoot)

2 a Superscript 4 Baseline b (RootIndex 4 StartRoot 18 EndRoot)

6 a cubed (RootIndex 4 StartRoot 3 b cubed EndRoot)

12 a Superscript 6 Baseline b (RootIndex 4 StartRoot b EndRoot)

The formula gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches?

in.

The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If the orbital period of planet Y is twice the orbital period of planet X, by what factor is the mean distance increased?

2 Superscript one-third

2 Superscript one-half

2 Superscript two-thirds

2 Superscript three-halves

Which expression is equivalent to ?

8y10

8y50

32y10

32y50

What is the following sum?

7 x (RootIndex 6 StartRoot x squared y EndRoot)

7 x squared (RootIndex 6 StartRoot x y squared EndRoot)

7 x squared (RootIndex 3 StartRoot x y squared EndRoot)

7 x (RootIndex 3 StartRoot x squared y EndRoot)

Which represents a side length of a square that has an area of 450 square inches?

in.

112.5 in.

115.5 in.

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula . If Saturn’s orbital period is 29.5 years, what is its distance from the sun?

9.5 AU

19.7 AU

44.3 AU

160.2 AU

Which of the following is the graph of ?

On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4. It starts at x = 3.

On a coordinate plane, an absolute value curve opens down and to the left in quadrants 1 and 2. It starts at x = 3.

On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2. It starts at x = negative 3.

On a coordinate plane, an absolute value curve opens up and to the right in quadrants 3 and 4. It starts at x = negative 3.

The speed that a tsunami can travel is modeled by the equation , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?