Mohammad

1. there is exactly one specific value for the variable that makes the equation a true statement
4. a graphical display of data using bars of different heights
5. a type of asymmetric data distribution where the tail extends to the right (higher values).
8. the starting amount, value, or output (\(y\)-value) of a function when the input (\(x\)-value or time) is zero.
10. a data distribution where the tail extends to the left, towards lower values, while the bulk of the data (the peak) is concentrated on the right
11. the value or set of values for a variable that makes an equation or inequality true
13. a standardized graphical method used in statistics to visualize the distribution of numerical data based on a five-number summary: minimum, first quartile (\(Q_{1}\)), median (\(Q_{2}\)), third quartile (\(Q_{3}\)), and maximum.
14. any value substituted for the variable(s) makes the equation true
15. a mathematical diagram using Cartesian coordinates (\(x, y\)) to display values for typically two numerical variables within a dataset.

2. the invariance of an equation or function under transformations, where substituting different values (such as \(-x\) for \(x\)) yields the original equation.
3. point where a graph intersects the vertical \(y\)-axis, defined by the coordinates \((0, y)\)
6. where a graph or equation intersects or crosses the horizontal x-axis.
7. measures how one variable (\(y\), output) changes in relation to another (\(x\), input), commonly expressed as \(\frac{\Delta y}{\Delta x}\) or "rise over run".
9. an algebraic expression consisting of variables and coefficients combined using addition, subtraction, and multiplication, where variables have non-negative integer exponents
12. when no value for the variable makes the equation true, resulting in a contradiction (e.g., \(0=5\) or \(-1=12\)) after simplification.