Algebra 2 - 1st Semester Review

Front

What is the equation of a line with a slope of 3?

Back

y = 3x

Front

How do you solve a system of equations using matrices?

Back

Use the inverse of the coefficient matrix to find the solution.

Front

What is the linear regression equation for a set of data points?

Back

It is the equation that best fits the data points in a linear manner.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the purpose of using matrices in solving systems of equations?

Back

Matrices simplify the process of solving multiple equations simultaneously.

Front

What is a linear function?

Back

A function that can be graphically represented as a straight line.

Front

What is the formula for the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you interpret the coefficients in a linear regression equation?

Back

The coefficients indicate the relationship between the independent variable and the dependent variable.