Area & Volume
What is the volume of a sphere if the radius is 4 inches?
Approximately 268 or 85 + 1/3π
What line conveys ≤ or ≥?
Solid line
What is the only transformation that is not classified as a “rigid transformation”?
Dilation
What is the type of distribution when on a number line the data clusters in the center?
Bell-shaped distribution
Why does any number raised to the power of zero result in the solution of one?
Raises the denominator to a number equivalent to the numerator, which by dividing will always give you one.
A cylinder has a height of four inches and its diameter is ten inches. What is the area of its base?
Approximately 78 or 25π
For the inequality 2x - 3 ≤ y, where would all solutions be shaded in?
Above the line
A square on a coordinate grid is transformed to have its edges pointing upward. What are the two only possible transformations the square underwent?
Rotation and Reflection
What are the four used methods for calculating the frequency and balance of a distribution?
Mean, median, range and mode
What rule allows you to multiply two exponents together?
Power of power rule
A cylinder has a diameter of 12 inches and a volume of 339. What is the height of the cylinder?
Approximately 3
What are the two methods of solving systems, and how do those methods differentiate from each other?
Substitution and elimination; substitution uses an already known variable to replace its existing variable and therefore solve for the other variable, and elimination allows you to reduce a variable whether naturally or by balancing to solve for only one variable.
What happens to a shape’s coordinate points when you reflect it over an axis?
Inverts the coordinate point’s sign (e.g. x, y becomes -x, y when reflected over the y axis and vice versa for reflecting over the x axis)
A stem and leaf plot is displayed below:
What is the median of the data?
72.5
What is (⅝)^4?
What is the difference between volume and surface area?
Volume is the area inside of a three-dimensional object, while surface area is the area of the shape’s outer faces.
Solve the following system of equations below:
6x + 3y = 33
6x - y = 5
(2, 7)
Explain the transformations for the image below:
Translated 4 units to the left and 5 units up, then reflected across the y-axis.
A box and whisker plot is displayed below:
What is the mean of the data?
Undefinable
What makes an expression exponential?
Progression accelerates and begins to curve.
Between a cube, a cylinder and a sphere: if all shapes have the same numerical measurement (e.g. same radius, edge length, etc…) which one will have the most volume?
Cube
Solve the following system of inequalities below:
-x + 5 ≤ y
2x + 6 > 2y
Between the intersection of (1, 4) following the right side but not including (1, 4)
List the requirements for a congruent shape.
Same side length and angle measurement.
What makes MAD (Mean Absolute Deviation) distinguishable from mean?
Instead of finding the values of the data, MAD calculates the absolute values of the data which makes it impervious to outliers.
What does 2^2^2^2 equal?
65,536