Unit 5 Systems Extra Practice / Retest

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you solve a system of equations algebraically?

Back

You can use substitution or elimination methods to find the values of the variables that satisfy all equations in the system.

Front

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

Back

A point is a solution if it satisfies all equations in the system when the coordinates are substituted into the equations.

Front

What is the substitution method?

Back

A method for solving a system of equations where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the elimination method?

Back

A method for solving a system of equations by adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables. The solution is the region where the inequalities overlap on a graph.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality. If it satisfies all inequalities, it is a solution.

Front

What does the graph of a linear inequality represent?

Back

The graph represents all the solutions to the inequality, typically shown as a shaded region on one side of the boundary line.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x=0.

Front

What is the slope of a line?

Back

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