Algebra Systems Review

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 is the point(s) where the equations intersect.

Front

What does it mean to solve a system of equations graphically?

Back

Solving a system of equations graphically involves plotting the equations on a graph and identifying the point(s) where they intersect, which represents the solution.

Front

What is substitution in solving systems of equations?

Back

Substitution is a method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is elimination in solving systems of equations?

Back

Elimination is a method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Front

How do you determine if a system of equations has no solution?

Back

A system has no solution if the equations represent parallel lines, which never intersect.

Front

What is the meaning of a solution to a system of inequalities?

Back

A solution to a system of inequalities is a set of values that satisfy all inequalities in the system, often represented as a shaded region on a graph.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

Front

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

Back

Identify the variables, translate the relationships and conditions into equations, and write them as a system.

Front

What is the setup fee in a cost equation?

Back

The setup fee is a fixed cost that must be paid before any variable costs are incurred, often represented as a constant in a cost equation.