EOC Algebra I - Practice Test (Unit 1: Relationships..)

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 expressed in the form of an equation, typically y = mx + b, where m is the slope and b is the y-intercept.

Front

Define slope in the context of a linear equation.

Back

The slope of a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It is calculated as the rise over run, or the change in y divided by the change in x.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of y when x is equal to zero in the equation of the line.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if it can be expressed as y = kx, where k is a constant. In a proportional relationship, the ratio of y to x is constant, and the graph passes through the origin (0,0).

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the variable that is manipulated or changed in an experiment, while the dependent variable is the variable that is measured or observed. In a graph, the independent variable is typically plotted on the x-axis and the dependent variable on the y-axis.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for calculating the slope (m) between two points is m = (y2 - y1) / (x2 - x1).

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output. It can be represented as f(x) = y.

Front

How can you identify a function from a set of ordered pairs?

Back

A set of ordered pairs represents a function if no two different pairs have the same first element (input). Each input must correspond to exactly one output.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.