Creating Linear Systems Review Activity

Front

What is a linear system?

Back

A linear system is a collection of two or more linear equations involving the same variables. The solution to a linear system is the set of values that satisfy all equations simultaneously.

Front

What does it mean to solve a linear system?

Back

To solve a linear system means to find the values of the variables that make all the equations in the system true.

Front

What is the graphical representation of a linear equation?

Back

The graphical representation of a linear equation is a straight line on a coordinate plane, where the x-axis and y-axis represent the variables.

Front

What is the substitution method in solving linear systems?

Back

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

Front

What is the elimination method in solving linear systems?

Back

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

Front

What is a consistent system of equations?

Back

A consistent system of equations has at least one solution, meaning the lines represented by the equations intersect at one or more points.

Front

What is an inconsistent system of equations?

Back

An inconsistent system of equations has no solutions, meaning the lines represented by the equations are parallel and never intersect.

Front

What is a dependent system of equations?

Back

A dependent system of equations has infinitely many solutions, meaning the equations represent the same line.

Front

How do you interpret the solution of a linear system in a real-world context?

Back

The solution of a linear system can represent quantities or values in a real-world scenario, such as costs, amounts, or counts of items.

Front

What is the importance of units in solving real-world problems with linear systems?

Back

Units are crucial in real-world problems as they provide context and ensure that calculations are meaningful and accurate.