Dec Quarterly Assessment Review HONORS

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

Define linear inequality.

Back

A linear inequality is an inequality that involves a linear function. It can be written in the form ax + by <, >, ≤, or ≥ c.

Front

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

Back

To solve a system of equations graphically means to plot the equations on a graph and find the point(s) where they intersect, which represents the solution.

Front

What is the substitution method in solving systems of equations?

Back

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

Front

Explain the elimination method for solving systems of equations.

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 the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables. A positive slope means an increasing relationship, while a negative slope indicates a decreasing relationship.

Front

Define the term 'intercept' in the context of linear equations.

Back

The intercept is the point where the line crosses the axes. The y-intercept is where the line crosses the y-axis, and the x-intercept is where it crosses the x-axis.

Front

What is a feasible region in linear programming?

Back

The feasible region is the set of all possible points that satisfy the constraints of a linear programming problem, typically represented as a polygon on a graph.

Front

How do you interpret the solution of a system of inequalities?

Back

The solution of a system of inequalities is the region on the graph that satisfies all inequalities, often represented by shading.

Front

What is the difference between a dependent and independent system of equations?

Back

A dependent system has infinitely many solutions (the equations represent the same line), while an independent system has exactly one solution (the equations represent different lines).