1.
Correct Answer
D. D
2.
Correct Answer
A. A
3.
Correct Answer
B. B
4.
Correct Answer
A. A
5.
Correct Answer
D. D
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.
6.
Correct Answer
B. B
7.
Correct Answer
D. D
8.
Correct Answer
D. D
9.
Correct Answer
A. A
10.
Correct Answer
C. C
11.
Correct Answer
B. Irrational
Explanation
Since all rational numbers will convert to either a terminating decimal or a repeating decimal, and the expression Ï€+8 converts to a decimal that is non-terminating and non-repeating, then it is an Irrational number.
12.
Correct Answer
A. Rational
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.
13.
Correct Answer
C. C
14.
Correct Answer
C. C
15.
Correct Answer
C. C
16.
Correct Answer
C. C
17.
Correct Answer
B. B
18.
Correct Answer
A. A
19.
Correct Answer
D. D
20.
Correct Answer
C. C
21.
Correct Answer
B. B
22.
Correct Answer
D. D
23.
Correct Answer
C. C
24.
Correct Answer
B. B
25.
Correct Answer
B. B
26.
Correct Answer
C. C
27.
Correct Answer
A. A
28.
A parabola that opens down has Minimum.
Correct Answer
B. False
29.
Correct Answer
D. D
30.
All Linear, Exponential and Quadratic functions have a range of 'all real numbers'
Correct Answer
B. False
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.
31.
Only Quadratic functions have both an increasing and a decreasing interval.
Correct Answer
B. False
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.
32.
Correct Answer
C. C
33.
Correct Answer
C. C
34.
Correct Answer
A. A
35.
Only linear functions have a Domain of 'all real numbers'.
Correct Answer
B. False
Explanation
ALL functions we have studied this year (Linear, Exponential, and Quadratic) have a Domain of 'all real numbers'.
36.
Correct Answer
D. D
37.
Correct Answer
B. False
38.
Only Linear functions have a 'constant' rate of change.
Correct Answer
A. True
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.
39.
ALL functions (linear, exponential, and quadratic) have an 'asymptote'.
Correct Answer
B. False
Explanation
An 'asymptote' is a feature of Exponential functions ONLY. It is a horizontal line that an exponential curve
approaches but never touches.
40.
The Table of Values for a Quadratic function will never show duplicated y-values.
Correct Answer
B. False
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.
41.
Correct Answer
B. B
42.
Correct Answer
C. C
43.
Correct Answer
B. B
44.
Correct Answer
B. B
45.
Correct Answer
D. D
46.
Correct Answer
B. False
47.
Correct Answer
A. True
48.
Correct Answer
B. False
49.
The Median of a dataset is a calculation that is affected by low or high (outlier) datapoints.
Correct Answer
B. False
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.
50.
Correct Answer
A. A
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.