Algebra Systems of Equations & Linear Inequalities Test Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables. Solutions are the points where the equations intersect.

Front

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

Back

The graphs of the equations are parallel lines, meaning they never intersect.

Front

What is the graphical representation of a linear inequality?

Back

A shaded region on one side of the boundary line, which represents all the solutions to the inequality.

Front

How do you solve a system of equations using substitution?

Back

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

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable, making it easier to solve for the other.

Front

What does the symbol '≥' mean in inequalities?

Back

It means 'greater than or equal to', indicating that the value can be either greater than or equal to a certain number.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

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

Back

Substitute the point's coordinates into each equation. If it satisfies all equations, it is a solution.

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 slope-intercept form of a linear equation?

Back