Algebra 1 Practice Final Exam Quiz

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1.

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About This Quiz
Algebra 1 Practice Final Exam Quiz - Quiz

Test your Algebra 1 prowess with our Practice Final Exam Quiz! This comprehensive assessment covers a wide array of essential algebraic concepts. From solving linear equations and graphing inequalities... see moreto mastering polynomial functions, this quiz mirrors the content and complexity of a real final exam.

Sharpen your problem-solving skills and boost your confidence as you work through a variety of challenging questions. Whether you're a student preparing for the final or an enthusiast honing your algebraic abilities, this quiz offers an opportunity to gauge your understanding and excel in algebra. Are you ready to conquer the world of algebra? Take the quiz and find out!
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2.

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.

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7.

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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.

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14. A parabola that opens down has Minimum.

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

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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.

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19.

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.

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20.

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

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24.

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28.

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

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

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31.

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

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

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33.

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36. The Table of Values for a Quadratic function will never show 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.

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37.

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

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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.
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42.

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43.

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.

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44.

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45.

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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.

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

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47.

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48.

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49.

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.

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52.

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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%.

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

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.

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Janaisa Harris |BA (Mathematics) |
High School Math Teacher
Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a bachelor's degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher.

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A parabola that opens down has Minimum.
Only Linear functions have a 'constant' rate of change.
ALL functions (linear, exponential, and quadratic) have an...
Only linear functions have a Domain of 'all real...
The Table of Values for a Quadratic function will never show...
Only Quadratic functions have both an increasing and...
The Median of a dataset is a calculation that is affected by low or...
All Linear, Exponential and Quadratic functions have...
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