Algebra 1: Systems of Equations Review

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations that have the same variables.

Front

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

Back

It means the equations represent parallel lines that never intersect.

Front

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

Back

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 the graphical representation of intersecting lines in a system of equations?

Back

Intersecting lines represent a system of equations with one unique solution.

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 does the slope of a line represent in a linear equation?

Back

The slope 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 is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

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

Back

Set y to 0 in the equation and solve for x.

Front

What is the standard form of a linear equation?

Back

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

Front

What is the difference between consistent and inconsistent systems of equations?

Back

Consistent systems have at least one solution, while inconsistent systems have no solutions.