Answers WINGS PA-26 Algebra II A PottsUnit Test

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What is the simplified form of the following expression?

StartFraction RootIndex 3 StartRoot 4 x EndRoot Over 5 EndFraction

StartFraction RootIndex 3 StartRoot 20 x EndRoot Over 5 EndFraction

StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 5 EndFraction

StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 125 EndFraction

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Which expression is equivalent to ? Assume .

(x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline)

(x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline)

(x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline)

(x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline)

The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(x)?

3, 4, 5, 6

3, 4, 5, 6i

3, 4, ,

3, 4, 5 + i, –5 + i

Which expression is equivalent to ? Assume .

–50x8y18

–2x8y18

–2x12y72

5x8y18

Subtract from .

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The first figure of the Sierpinski triangle has one shaded triangle. The second figure of the Sierpinski triangle has three shaded triangles. The third figure of the Sierpinski triangle has nine shaded triangles. Which summation represents the total number of shaded triangles in the first 15 figures?

Sigma-Summation Underscript n = 1 Overscript 15 EndScripts 1 (3) Superscript n minus 1

Sigma-Summation Underscript n = 1 Overscript 15 EndScripts 3 (1) Superscript n minus 1

Sigma-Summation Underscript n = 1 Overscript 15 EndScripts 1 (one-third) Superscript n minus 1

Sigma-Summation Underscript n = 1 Overscript 15 EndScripts one-third (1) Superscript n minus 1

What is the remainder when (x3 + 1) is divided by (x2 – x + 1)?

x + 1

Which expression is equivalent to the following complex fraction?

StartFraction (y + 1) (y minus 1) Over y squared EndFraction

StartFraction y + 1 Over y minus 1 EndFraction

StartFraction y minus 1 Over y + 1 EndFraction

StartFraction y squared Over (y + 1) (y minus 1) EndFraction

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?f(x) = (x3 – 3x + 1)2

2 roots

3 roots

6 roots

9 roots

Which equation could be used to calculate the sum of the geometric series?

S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction

S 5 = StartFraction two-thirds (1 minus (one-third) Superscript 5 Baseline) Over (1 minus one-third) EndFraction

S = StartFraction one-third Over (1 minus two-thirds) EndFraction

S = StartFraction two-thirds Over (1 minus one-third) EndFraction

Use synthetic division to solve . What is the quotient?

x squared + 4 x + 3

x squared minus 6 x + 13 minus StartFraction 80 Over x minus 5 EndFraction

x cubed + 4 x squared + 3 x

x squared minus 6 x + 13 minus StartFraction 80 Over x + 5 EndFraction

Which expression is equivalent to ? Assume .

a Superscript 9 Baseline b Superscript 6

a Superscript 9 Baseline b Superscript 12

StartFraction 1 Over a cubed b squared EndFraction

StartFraction a Superscript 29 Baseline b Superscript 6 Baseline EndFraction

What is the following sum?

4 x (RootIndex 3 StartRoot 2 y EndRoot) + 12 x squared y (RootIndex 3 StartRoot 2 y squared EndRoot)

8 x (RootIndex 3 StartRoot x y EndRoot) + 12 x cubed y squared (RootIndex 3 StartRoot 6 y EndRoot)

16 x cubed y (RootIndex 3 StartRoot 2 y squared EndRoot)

48 x cubed y (RootIndex 3 StartRoot 2 y EndRoot)

Which expression is equivalent to 2x2 – 2x + 7?

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One root of is x = –10. What are all the roots of the function? Use the Remainder Theorem.

x = –25 or x = 10

x = –25, x = 1, or x = 10

x = –10 or x = 5

x = –10, x = –5, or x = 5

Which expression is equivalent to ?

StartFraction 2 (a + 1) squared Over a cubed EndFraction

StartFraction 6 a squared Over a + 1 EndFraction

Which polynomial is factored completely?

121 x squared + 36 y squared

(4x + 4)(x + 1)

2 x (x squared minus 4)

3 x Superscript 4 Baseline minus 15 n cubed + 12 n squared

What is the completely factored form of 8x2 – 50?

2(x + 5)(x – 5)

2(2x – 5)(2x – 5)

2(2x + 5)(2x + 5)

2(2x + 5)(2x – 5)

Which survey is most likely affected by bias?

a survey of teenagers about their favorite colors

a survey of students about vacation policies in a school district

a survey of supermarket shoppers about products they would like to see added

a survey of bike riders on whether they wear helmets

What is the simplified form of the following expression?

2 StartRoot 2 EndRoot

5 StartRoot 2 EndRoot

9 StartRoot 2 EndRoot

15 StartRoot 2 EndRoot

Researchers compare the body composition of cattle feeding on a grain diet with that of cattle feeding on a grass diet. This method of gathering data is classified as

a census.

a sample survey.

an experiment.

an observational study.

What is the difference?

StartFraction x squared + 4 x minus 1 Over x (x + 2) EndFraction

StartFraction x squared + 4 x + 1 Over x (x + 2) EndFraction

StartFraction 4 Over negative 1 (x squared + x minus 2) EndFraction

StartFraction x squared + 6 x + 1 Over x (x + 2) EndFraction

What is the product?

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The histogram below shows the number of properties in a town that sold within certain time periods. Why might the graph be considered misleading?

The scales on the x- and y-axes are unequal.

The interval on the x-axis is too large for the data set.

The scale on the y-axis misrepresents the difference in the heights of the bars.

The interval on the y-axis is too large for the data set.

The quotient of (x4 – 3x2 + 4x – 3) and (x2 + x – 3) is a polynomial. What is the quotient?

x4 – 2x2 + 5x – 6

x2 – x + 1

x6 + x5 – 6x4 + x3 + 10x2 – 15x + 9

x4 – 4x2 + 3x

What is the product?

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What is the quotient?

(t + 3) squared

(t + 4) squared

StartFraction 1 Over (t + 4) squared EndFraction

StartFraction 1 Over (t + 3) squared EndFraction

Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data.13, 17, 9, 21What is the standard deviation for the data?Standard deviation:

4.4

5.2

26.7

A supervisor finds the mean number of miles that the employees in a department live from work. He finds and . Which mileage is within a z-score of -1.5?

21 miles

24 miles

36 miles

41 miles

The box plots below show the ages of college students in different math courses. Math 1 Math 2Which statement is true?

The median age of the students in Math 1 is greater than the median age of the students in Math 2.

The median age of the students is Math 1 is less than the median age of the students in Math 2.

The mean and median age are most likely the same for both sets of data.

The mean and median age are more likely to be the same for the students in Math 1.

What is the product? Assume

3 x StartRoot 5 EndRoot + 3 StartRoot 165 x EndRoot + 10 StartRoot 6 EndRoot

3 x StartRoot 5 EndRoot + 6 StartRoot 10 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot

3 x StartRoot 5 EndRoot + 10 StartRoot 6 EndRoot

StartRoot 3 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot

What is the following product?

–2

22 –

98 –

What is the following sum? Assume and

x squared y squared StartRoot y EndRoot minus 2 x y squared StartRoot x EndRoot

2 x y StartRoot y EndRoot + 2 x y squared StartRoot x EndRoot

4 x y StartRoot x Superscript 5 Baseline y Superscript 8 Baseline EndRoot

2 x y StartRoot x y EndRoot

The formula for the sum of an infinite geometric series, , may be used to convert to a fraction. What are the values of and r?

a 1 = StartFraction 23 Over 10 EndFraction, r = one-tenth

a 1 = 23, r = StartFraction 1 Over 100 EndFraction

a 1 = StartFraction 23 Over 100 EndFraction, r = 100

a 1 = StartFraction 23 Over 100 EndFraction, r = StartFraction 1 Over 100 EndFraction

What is the sum of the polynomials?

4m + 3

4m – 24n + 3

30m – 5

30m – 24n – 5

A high-interest savings account pays 5.5% interest compounded annually. If $300 is deposited initially and again at the first of each year, which summation represents the money in the account 10 years after the initial deposit?

Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 300 (0.055) Superscript n minus 1

Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 305.5 (1.055) Superscript n minus 1

Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 316.5 (0.055) Superscript n minus 1

Sigma-Summation Underscript n = 1 Overscript 10 EndScripts 316.5 (1.055) Superscript n minus 1

What is the completely factored form of x4 + 8x2 – 9?

(x + 1)(x – 1)(x + 3)(x + 3)

(x + 1) (x minus 1) (x squared + 9)

(x2 – 1)(x + 3)(x – 3)

(x + 1)(x + 1)(x + 3)(x + 3)

What is the following difference?

7 StartRoot 40 EndRoot

14 StartRoot 10 EndRoot

29 StartRoot 5 EndRoot

95 StartRoot 5 EndRoot

Marcus finds that . What error did Marcus make?

He combined the terms 5x and –7x incorrectly.

He combined the terms 3x2 and 4x2 incorrectly.

He combined the terms –2y2 and 12y2 incorrectly.

He subtracted the polynomials instead of adding.

What is the following product? Assume

b StartRoot b EndRoot

2 StartRoot b EndRoot

What value of g makes the equation true?

–11

–3

What is the simplified form of ? Assume .

StartFraction 3 Over m Superscript 35 Baseline n Superscript 8 Baseline EndFraction

Negative StartFraction 3 n squared Over m squared EndFraction

Negative 3 m Superscript 12 Baseline n Superscript 6 Baseline

3 m Superscript 35 Baseline n Superscript 8 Baseline

What is the common denominator of in the complex fraction ?

3y(y – 3)

y(y – 3)

What is the value of r of the geometric series?

0.8

1.3

3.0

3.2

Which expression is equivalent to the following complex fraction?

StartFraction 2 (x minus 2) Over negative 4 x + 7 EndFraction

StartFraction negative 4 x + 7 Over 2 (x minus 2) EndFraction

StartFraction negative 4 x + 7 Over 2 (x squared minus 2) EndFraction

StartFraction 2 (x squared minus 2) Over (negative 4 x + 7) EndFraction

A poll asks shoppers at the mall how many cups of water they typically drink in a day. The results of the poll are listed below.3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11What is value of the first quartile?

What is the following quotient?

2 StartRoot 10 EndRoot

3 StartRoot 10 EndRoot

Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below.What is the first error he made in computing the standard deviation?