UNIT 4A - Systems of Equations and Inequalities

Front

What is a system of equations?

Back

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

Front

What does it mean if two lines are parallel in a system of equations?

Back

It means that the system has no solution because the lines never intersect.

Front

What does it mean if two lines are coinciding in a system of equations?

Back

It means that the system has infinitely many solutions because the lines overlap.

Front

What does it mean if a system of linear equations has one solution?

Back

It means that the two lines intersect at exactly one point.

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Front

How do you solve a system of equations using elimination?

Back

Add or subtract the equations to eliminate one variable, then solve for the remaining variable.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

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

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).