LP 3 Assessment Algebra 1

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all equations in the system true.

Front

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

Back

A point (x,y) is a solution if it satisfies both equations in the system.

Front

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

Back

It means that the equations represent the same line, and there are countless points (x,y) that satisfy both equations.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What is a linear equation?

Back

Front

What does the term 'slope' refer to in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

What is the significance of parallel lines in a system of equations?

Back

Parallel lines have the same slope but different y-intercepts, meaning they never intersect and the system has no solution.

Front

What is the significance of intersecting lines in a system of equations?

Back

Intersecting lines have different slopes and represent a unique solution where the two equations meet at one point.