8th Math Semester 1 Final Review

Front

What is a linear model?

Back

A linear model is a mathematical representation of a relationship between two variables that can be expressed in the form of a linear equation, typically written as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you predict distance using a linear model?

Back

To predict distance using a linear model, substitute the given time value into the equation and solve for distance.

Front

What does the slope in a linear equation represent?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a one-unit increase in x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It represents the starting point of the line on the y-axis.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variables that satisfy the equation, often occurring in parallel lines.

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a set of values represents a function?

Back

A set of values represents a function if no x-value is repeated with different y-values.

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y in terms of x.

Front

What is the significance of the x-intercept?

Back

The x-intercept is the value of x when y is 0. It indicates where the line crosses the x-axis.