Answers WINGS PA-26 Algebra II A PottsUnit Test

Unit Test Answers

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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

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What is the following quotient?

StartFraction 9 StartRoot 7 EndRoot + StartRoot 14 EndRoot Over negative 3 EndFraction

StartFraction 36 minus 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot minus StartRoot 14 EndRoot EndFraction

StartFraction 36 + 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot + StartRoot 14 EndRoot Over 9 EndFraction

StartFraction 79 Over 9 EndFraction

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)

Which expression is equivalent to ?

StartFraction RootIndex 12 StartRoot 27 EndRoot Over 2 EndFraction

StartFraction RootIndex 4 StartRoot 24 EndRoot Over 2 EndFraction

StartFraction RootIndex 12 StartRoot 55296 EndRoot Over 2 EndFraction

StartFraction RootIndex 12 StartRoot 177147 EndRoot Over 3 EndFraction

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 following product?

2 StartRoot 42 EndRoot + 7 StartRoot 2 EndRoot minus 6 minus StartRoot 21 EndRoot

StartRoot 14 EndRoot minus 6 + StartRoot 7 EndRoot

StartRoot 26 Endroot + StartRoot 21 EndRoot minus StartRoot 15 EndRoot minus StartRoot 10 EndRoot

2 StartRoot 42 EndRoot minus StartRoot 21 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 difference?

Negative 3 a b (RootIndex 3 StartRoot 3 a b squared EndRoot)

16 a b squared (RootIndex 3 StartRoot 3 a EndRoot) minus 45 a squared b squared (RootIndex 3 StartRoot 3 b EndRoot)

Negative 7 a b (RootIndex 3 StartRoot 3 a b squared EndRoot)

8 a b (RootIndex 3 StartRoot 3 a b squared EndRoot) minus 15 a b squared (RootIndex 3 StartRoot 3 a b EndRoot)

Which expression is equivalent to ?

StartFraction RootIndex 4 StartRoot 200 EndRoot Over 2 EndFraction

StartFraction RootIndex 4 StartRoot 20 EndRoot Over 2 EndFraction

StartFraction 2 StartRoot 5 EndRoot Over 5 EndFraction

StartFraction 100 Over 8 EndFraction

Which of the following is a like radical to ?

x (RootIndex 3 StartRoot 6 x EndRoot)

6 (RootIndex 3 StartRoot x squared EndRoot)

4 (RootIndex 3 StartRoot 6 x squared EndRoot)

x (RootIndex 3 StartRoot 6 EndRoot)

What is the following quotient?

StartFraction StartRoot 3 EndRoot Over 4 EndFraction

StartFraction 1 + StartRoot 3 EndRoot Over 4 EndFraction

StartFraction 1 minus StartRoot 3 EndRoot Over 4 EndFraction

StartFraction negative 1 + StartRoot 3 EndRoot Over 2 EndFraction

What is the following product?

RootIndex 6 StartRoot 10 EndRoot

RootIndex 6 StartRoot 200 EndRoot

RootIndex 6 StartRoot 500 EndRoot

RootIndex 6 StartRoot 100000 EndRoot

Which expression is equivalent to ?

One-fourth

RootIndex 6 StartRoot 2 EndRoot

StartRoot 2 EndRoot

StartFraction StartRoot 2 EndRoot Over 2 EndFraction

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)

What is the simplified form of the following expression? Assume .

StartFraction 2 (RootIndex 3 StartRoot 6 x squared y squared EndRoot) Over y EndFraction

StartFraction RootIndex 3 StartRoot 12 x squared y EndRoot Over 2 y EndFraction

StartFraction x (RootIndex 3 StartRoot 3 y EndRoot) Over 2 y EndFraction

StartFraction RootIndex 3 StartRoot 6 x squared y squared EndRoot Over 2 y EndFraction

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

To rationalize the denominator of , you should multiply the expression by which fraction?

StartFraction StartRoot 10 EndRoot Over StartRoot 10 EndRoot EndFraction

StartFraction StartRoot 11 EndRoot Over StartRoot 11 EndRoot EndFraction

StartFraction 2 minus StartRoot 10 EndRoot Over 2 minus StartRoot 10 EndRoot EndFraction

StartFraction 3 minus StartRoot 11 EndRoot Over 3 minus StartRoot 11 EndRoot EndFraction

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

Multiplying by which fraction will produce an equivalent fraction with a rational denominator?

StartFraction StartRoot 17 EndRoot minus StartRoot 2 EndRoot Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction

StartFraction StartRoot 17 EndRoot + StartRoot 2 EndRoot Over StartRoot 17 EndRoot + StartRoot 2 EndRoot EndFraction

StartFraction StartRoot 2 EndRoot minus StartRoot 17 EndRoot Over StartRoot 2 EndRoot minus StartRoot 17 EndRoot EndFraction

StartFraction StartRoot 15 EndRoot Over StartRoot 15 EndRoot EndFraction

What is the following product?

2 StartRoot 10 EndRoot

3 StartRoot 10 EndRoot

4 StartRoot 10 EndRoot

10 StartRoot 3 EndRoot

What is the following quotient?

StartRoot 13 EndRoot minus 2 StartRoot 11 EndRoot

StartFraction StartRoot 13 EndRoot + StartRoot 11 EndRoot Over 6 EndFraction

StartFraction StartRoot 13 EndRoot + STartRoot 11 EndRoot Over 12 EndFraction

StartRoot 13 EndRoot minus StartRoot 11 EndRoot

What is the following product?

StartRoot 30 EndRoot

5 StartRoot 6 EndRoot

6 StartRoot 5 EndRoot

6 StartRoot 6 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.