Answers MPS MA511CA Algebra 2 Trig S2Unit Test

Unit Test — Unit test Answers

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What is the following product?

2 StartRoot 10 EndRoot

3 StartRoot 10 EndRoot

4 StartRoot 10 EndRoot

10 StartRoot 3 EndRoot

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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

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

If the range of and the range of are the same, which statement is true about the value of m?

m can only equal 1.

m can be any positive real number.

m can be any negative real number.

m can be any real number.

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

What is the simplified form of the following expression?

6 StartRoot 2 EndRoot

18 StartRoot 2 EndRoot

30 StartRoot 2 EndRoot

36 StartRoot 2 EndRoot

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.

What is the solution of ?

x = 142

x = 232

x = 322

no solution

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 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.

What is the solution of ?

x = –3

x = 4

x = –3 or x = 4

no solution

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

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?

0.32 km

0.75 km

1.12 km

3.17 km

What is the following product?

x squared (RootIndex 3 StartRoot 28 x squared EndRoot)

x Superscript 5 Baseline (RootIndex 3 StartRoot 28 x EndRoot)

4 x squared (RootIndex 3 StartRoot 3 x squared EndRoot)

4 x Superscript 5 Baseline (RootIndex 3 StartRoot 3 x 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.

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)

Wyatt’s eye-level height is 120 ft above sea level, and Shawn’s eye-level height is 270 ft above sea level. How much farther can Shawn 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.