The Number System
his is the classification of \(\sqrt{25}\) as either rational or irrational.
What is rational? (Because \(\sqrt{25} = 5\), which can be written as \(\frac{5}{1}\)).
The value of \(x\) in the equation \(3x - 7 = 14\).
What is \(x = 7\)?
The algebraic definition of the letter \(m\) in the slope-intercept equation \(y = mx + b\).
What is the slope (or rate of change)?
The mathematical theorem stated as \(a^2 + b^2 = c^2\).
What is the Pythagorean Theorem?
A graph of plotted points that shows the relationship between two sets of data.
What is a scatter plot?
The two consecutive whole numbers that \(\sqrt{50}\) falls between.
What are 7 and 8? (Because \(\sqrt{49} = 7\) and \(\sqrt{64} = 8\)).
Simplified form of the expression \((x^4)^3\) using a single exponent.
What is \(x^{12}\)?
The visual rule or test used on a graph to determine if a relation is a function.
What is the vertical line test?
The length of the hypotenuse if a right triangle has leg lengths of \(6\text{ cm}\) and \(8\text{ cm}\).
What is \(10\text{ cm}\)? (\(36 + 64 = 100\); \(\sqrt{100} = 10\)).
The type of association shown on a scatter plot when one variable increases while the other decreases.
What is a negative association (or negative correlation)?
The standard decimal notation for the scientific number \(4.15 \times 10^{-4}\).
What is 0.000415?
The value of \(x\) that satisfies \(5x + 4 = 2x + 13\).
What is \(x = 3\)?
The slope of the line passing through the coordinates \((1, 3)\) and \((3, 11)\).
What is 4? (\(\frac{11 - 3}{3 - 1} = \frac{8}{2} = 4\)).
The transformation that slides a figure to a new position without rotating, flipping, or resizing it.
What is a translation?
The straight line drawn through data points on a scatter plot to best represent their trend.
What is the line of best fit (or trend line)?
The product of \((2 \times 10^3)\) and \((3 \times 10^5)\), written in proper scientific notation.
What is \(6 \times 10^8\)?
The number of solutions possessed by the equation \(2(x + 3) = 2x + 6\).
What is infinitely many solutions?
This type of function creates a straight line graph and has a constant rate of change.
What is a linear function?
The geometric term given to two angles whose sum equals exactly \(180^{\circ }\).
What are supplementary angles?
A data table used to look at the relationship between two categorical variables.
What is a two-way table?
The fractional equivalent of the repeating decimal \(0.\overline{7}\).
What is \(\frac{7}{9}\)?
The value of \(y\) in the system: \(y = 2x\) and \(x + y = 9\).\
What is \(y = 6\)? (Since \(x = 3\)).
The \(y\)-intercept of the linear equation \(4x - 2y = 8\).
The volume of a cylinder with a radius of \(3\text{ cm}\) and a height of \(10\text{ cm}\), left in terms of \(\pi \).
An data point that sits far away from the general pattern or cluster of the rest of the data.
What is an outlier?