Algebra 1 Practice Final Exam Quiz

1.

True

False

Explanation

2.

Rational

Irrational

Since all rational numbers will convert to either a terminating decimal or a repeating decimal, and the expression π+8 converts to a decimal that is non-terminating and non-repeating, then it is an Irrational number.

Explanation

Since all rational numbers will convert to either a terminating decimal or a repeating decimal, and the expression π+8 converts to a decimal that is non-terminating and non-repeating, then it is an Irrational number.

3.

A

B

C

D

Explanation

4.

A

B

C

D

Explanation

5.

True

False

Explanation

6.

A

B

C

D

Explanation

7.

Rational

Irrational

Since all rational numbers will convert to either a terminating decimal or a repeating decimal, and the expression 13/25 converts to a terminating decimal, then it is a Rational number.

Explanation

Since all rational numbers will convert to either a terminating decimal or a repeating decimal, and the expression 13/25 converts to a terminating decimal, then it is a Rational number.

8.

A

B

C

D

Explanation

9.

A

B

C

D

Explanation

10.

A

B

C

D

Explanation

11.

A

B

C

D

Explanation

12.

A

B

C

D

Explanation

13.

A

B

C

D

Explanation

14. A parabola that opens down has Minimum.

True

False

Explanation

15.

A

B

C

D

Explanation

16.

A

B

C

D

Explanation

17.

A

B

C

D

Explanation

18. Only Linear functions have a 'constant' rate of change.

True

False

Linear functions graph to be a line, whereas Exponential and Quadratic functions graph to be curves.
Only lines have a 'constant' rate of change. Curves always have 'varying' rates of change.

Explanation

Linear functions graph to be a line, whereas Exponential and Quadratic functions graph to be curves.
Only lines have a 'constant' rate of change. Curves always have 'varying' rates of change.

19.

True

False

In the calculator screen shot, the correlation coefficient is the 'r=' value. Since this value is negative and half way between -1 and 0 then it is interpreted as 'moderate negative'. Remember that an 'r-value' can range from -1 to 1, with a value of zero meaning 'no correlation' . The closer the value is to either -1 or 1, then the stronger the correlation is, negative or positive, respectively.

Explanation

In the calculator screen shot, the correlation coefficient is the 'r=' value. Since this value is negative and half way between -1 and 0 then it is interpreted as 'moderate negative'. Remember that an 'r-value' can range from -1 to 1, with a value of zero meaning 'no correlation' . The closer the value is to either -1 or 1, then the stronger the correlation is, negative or positive, respectively.

20.

A

B

C

D

The curve depicted in the graph would best be modeled by an Exponential function.

Explanation

The curve depicted in the graph would best be modeled by an Exponential function.

21.

A

B

C

D

Explanation

22.

A

B

C

D

Explanation

23.

True

False

Explanation

24.

A

B

C

D

not-available-via-ai

Explanation

not-available-via-ai

25.

A

B

C

D

Explanation

26.

A

B

C

D

Explanation

27.

A

B

C

D

Explanation

28.

A

B

C

D

Explanation

29. ALL functions (linear, exponential, and quadratic) have an 'asymptote'.

True

False

An 'asymptote' is a feature of Exponential functions ONLY. It is a horizontal line that an exponential curve
approaches but never touches.

Explanation

An 'asymptote' is a feature of Exponential functions ONLY. It is a horizontal line that an exponential curve
approaches but never touches.

30.

A

B

C

D

Explanation

31.

A

B

C

D

not-available-via-ai

Explanation

not-available-via-ai

32. Only linear functions have a Domain of 'all real numbers'.

True

False

ALL functions we have studied this year (Linear, Exponential, and Quadratic) have a Domain of 'all real numbers'.

Explanation

ALL functions we have studied this year (Linear, Exponential, and Quadratic) have a Domain of 'all real numbers'.

33.

A

B

C

D

Explanation

34.

A

B

C

D

Explanation

35.

A

B

C

D

Explanation

36. The Table of Values for a Quadratic function will never show duplicated y-values.

True

False

Since the graph of a Quadratic function always has two sides that are reflections across the
Axis of Symmetry then each point on one side has the same y-value as it's reflective point on the
other side. Hence, the complete TOV for a Quadratic function will ALWAYS contain duplicated
y-values.

Explanation

Since the graph of a Quadratic function always has two sides that are reflections across the
Axis of Symmetry then each point on one side has the same y-value as it's reflective point on the
other side. Hence, the complete TOV for a Quadratic function will ALWAYS contain duplicated
y-values.

37.

A

B

C

D

Explanation

38.

A

B

C

D

Explanation

39.

A

B

C

D

Explanation

40.

A

B

C

D

Explanation

41. Only Quadratic functions have both an increasing and a decreasing interval.

True

False

False. Quadratic functions have a single turning point, called the vertex, where they change direction from increasing to decreasing or vice versa. However, functions of higher degrees, such as cubic or quartic, can have multiple turning points, resulting in more complex patterns of increasing and decreasing intervals.

Explanation

False. Quadratic functions have a single turning point, called the vertex, where they change direction from increasing to decreasing or vice versa. However, functions of higher degrees, such as cubic or quartic, can have multiple turning points, resulting in more complex patterns of increasing and decreasing intervals.

42.

A

B

C

D

Explanation

43.

A

B

C

D

To simplify the expression 3√2 * √20, you can first simplify the square root of 20:

√20 = √(4 * 5) = √4 * √5 = 2√5

Now, substitute this value back into the original expression:

3√2 * √20 = 3√2 * 2√5 = 6√10

So, 3√2 * √20 simplifies to 6√10.

Explanation

To simplify the expression 3√2 * √20, you can first simplify the square root of 20:

√20 = √(4 * 5) = √4 * √5 = 2√5

Now, substitute this value back into the original expression:

3√2 * √20 = 3√2 * 2√5 = 6√10

So, 3√2 * √20 simplifies to 6√10.

44.

A

B

C

D

Explanation

45.

A

B

C

D

A 'marginal' frequency of a Two-way Frequency Table is a row or column total. Please note, however, that the bottom right corner cell of the table is considered to be the 'grand' total, and is NOT considered as one of the marginal frequencies.

Explanation

A 'marginal' frequency of a Two-way Frequency Table is a row or column total. Please note, however, that the bottom right corner cell of the table is considered to be the 'grand' total, and is NOT considered as one of the marginal frequencies.

46. The Median of a dataset is a calculation that is affected by low or high (outlier) datapoints.

True

False

The definition of Median is the middle value of an ordered dataset. It is not a calculated value. Hence, it is NOT affected by high or low (outlier) datapoints. Rather, it is the Mean of a dataset that is affected by outliers, since the Mean is a calculated value of the average of the datapoints.

Explanation

The definition of Median is the middle value of an ordered dataset. It is not a calculated value. Hence, it is NOT affected by high or low (outlier) datapoints. Rather, it is the Mean of a dataset that is affected by outliers, since the Mean is a calculated value of the average of the datapoints.

47.

True

False

Explanation

48.

A

B

C

D

Explanation

49.

A

B

C

D

To correctly interpret this screen shot it is necessary to understand that 'a=' is the slope value and 'b=' is the y-intercept value for the line of best fit. Hence the option above with these values would be the correct choice.

Explanation

To correctly interpret this screen shot it is necessary to understand that 'a=' is the slope value and 'b=' is the y-intercept value for the line of best fit. Hence the option above with these values would be the correct choice.

50.

A

B

C

D

Explanation

51.

A

B

C

D

Explanation

52.

A

B

C

D

Based on the table, 50% of the people surveyed took no vitamin C and had no colds. This is calculated by dividing the number of people who took no vitamin C and had no colds (57) by the total number of people surveyed (110) and multiplying by 100%.

Here's the breakdown:

Total surveyed: 110

Took no vitamin C: 60 (sum of the "None" column)

Had no colds: 141 (sum of the "No colds" row)

Took no vitamin C and had no colds: 57 (intersection of "None" column and "No colds" row)

Percentage: (57 / 110) * 100% = 51.82% ≈ 50%

Therefore, the answer is c. 57%.

Explanation

Based on the table, 50% of the people surveyed took no vitamin C and had no colds. This is calculated by dividing the number of people who took no vitamin C and had no colds (57) by the total number of people surveyed (110) and multiplying by 100%.

Here's the breakdown:

Total surveyed: 110

Took no vitamin C: 60 (sum of the "None" column)

Had no colds: 141 (sum of the "No colds" row)

Took no vitamin C and had no colds: 57 (intersection of "None" column and "No colds" row)

Percentage: (57 / 110) * 100% = 51.82% ≈ 50%

Therefore, the answer is c. 57%.

53. All Linear, Exponential and Quadratic functions have a range of 'all real numbers'

True

False

Of the three types of functions listed, only the Linear function has a Range of 'all real numbers'.
(Remember, Range is the span of y-values for the function, lowest to highest.)
For an Exponential function, the highest or lowest y-value is limited by the asymptote.
For a Quadratic function, the highest or lowest y-value is determined by the y-coordinate of the vertex.

Explanation

Of the three types of functions listed, only the Linear function has a Range of 'all real numbers'.
(Remember, Range is the span of y-values for the function, lowest to highest.)
For an Exponential function, the highest or lowest y-value is limited by the asymptote.
For a Quadratic function, the highest or lowest y-value is determined by the y-coordinate of the vertex.

54.

A

B

C

D

Explanation

55.

A

B

C

D

Explanation

56.

A

B

C

D

Explanation

57.

A

B

C

D

Explanation