Review C - Unit 4 - Writing & Solving Systems of Equations

Front

What is a system of equations?

Back

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

Front

How do you represent a linear equation in slope-intercept form?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

What is the y-intercept of a linear equation?

Back

Front

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

Back

A point is a solution to a system of equations if it satisfies all equations in the system when substituted into them.

Front

What is the graphical representation of a system of equations?

Back

The graphical representation of a system of equations consists of the lines or curves of each equation plotted on the same coordinate plane.

Front

What does it mean if two lines intersect at a point?

Back

If two lines intersect at a point, it means that there is a unique solution to the system of equations represented by those lines.

Front

What does it mean if two lines are parallel?

Back

If two lines are parallel, it means they have the same slope and will never intersect, indicating that there is no solution to the system of equations.

Front

What does it mean if two lines coincide?

Back

If two lines coincide, it means they lie on top of each other, indicating that there are infinitely many solutions to the system of equations.

Front

How do you write a system of equations from a word problem?

Back

To write a system of equations from a word problem, identify the variables, translate the relationships and conditions into equations, and ensure they represent the same scenario.