9.4 & 9.5 Review Combinations & Applications

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that can be solved together.

Front

What does it mean to solve a system of equations using the elimination method?

Back

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

Front

What is the solution to a system of equations?

Back

The values of the variables that satisfy all equations in the system.

Front

How do you represent a linear equation in two variables?

Back

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

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x) between two points on the line.

Front

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

Back

The 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

The equations represent the same line, meaning every point on the line is a solution.

Front

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

Back

Solve one of the equations for one variable in terms of the other variable.

Front

What is a linear combination of equations?

Back

A combination of two or more equations formed by adding or subtracting them.

Front

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

Back

They represent the rate of change of the dependent variable with respect to the independent variable.