8th grade Math STAAR Practice Category 1 & 2

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It can be described by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the value of y when x is 0. It represents the initial value of the dependent variable before any changes occur.

Front

How do you find the slope of a line from a graph?

Back

The slope of a line can be found by selecting two points on the line and using the formula: slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the meaning of a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x). In a function, no two ordered pairs can have the same x-value.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on a coordinate plane, written in the form (x, y).

Front

What does it mean for a point to be a solution to a system of equations?

Back

A point is a solution to a system of equations if it satisfies all equations in the system, meaning it makes all equations true when the x and y values are substituted.

Front

How can you determine if a graph represents a function?

Back

You can use the vertical line test: if a vertical line intersects the graph at more than one point, then the graph does not represent a function.

Front

What is the significance of the initial deposit in a savings account?

Back

The initial deposit is the starting amount of money in the account before any additional deposits are made.

Front

What is a rate of change in a linear relationship?

Back

The rate of change is the slope of the line, representing how much the dependent variable (y) changes for a unit change in the independent variable (x).

Front

What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations with the same variables. The solution is the point(s) where the graphs of the equations intersect.