Algebra EOC Review

Front

What is the slope of a line?

Back

The slope (m) of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

How do you solve a system of equations by elimination?

Back

To solve a system of equations by elimination, you manipulate the equations to eliminate one variable, allowing you to solve for the other variable.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if a point is a solution to a system of equations?

Back

To determine if a point is a solution, substitute the x and y values of the point into both equations. If both equations are true, the point is a solution.

Front

What is a function?

Back

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

Front

What does it mean for a set of values to represent a function?

Back

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

Front

How do you find the y-intercept of a line?

Back

The y-intercept of a line is found by setting x = 0 in the equation of the line and solving for y.

Front

What is the difference between a linear equation and a nonlinear equation?

Back

A linear equation graphs to a straight line, while a nonlinear equation graphs to a curve.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find two or more points that satisfy the equation and plot them on a coordinate plane, then connect the points with a straight line.