Math I Released EOC 20-25

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if a system of equations has one solution?

Back

It means that the two lines represented by the equations intersect at exactly one point.

Front

What does it mean if a system of equations has no solution?

Back

It means that the two lines represented by the equations are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means that the two lines represented by the equations are the same line, thus intersecting at every point along that line.

Front

What is the slope of a line?

Back

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

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

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

Back

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

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 and A is non-negative.

Front

What is the difference between a function and a relation?

Back

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

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.