Writing and Solving Systems of Equations Quick Review

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers and A ≥ 0.

Front

What does the slope-intercept form of a linear equation look like?

Back

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

Front

What is the purpose of writing an equation in standard form?

Back

It allows for easier identification of intercepts and is useful for solving systems of equations.

Front

What is the first step in solving a system of equations?

Back

Identify the method to use: substitution, elimination, or graphing.

Front

What does it mean for a system of equations to be consistent?

Back

It has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

It has no solutions.

Front

What is a dependent system of equations?

Back

A system that has infinitely many solutions, where the equations represent the same line.

Front

What is the last step in solving multi-step equations?

Back

Divide by the coefficient of the variable.

Front

What is the graphical representation of a system of equations?

Back

The point(s) where the lines intersect.

Front

What is the significance of the slope in a linear equation?

Back

It represents the rate of change of the dependent variable with respect to the independent variable.