Unit 4 Test Review

Front

What does it mean for a system of equations to have infinite solutions?

Back

A system of equations has infinite solutions when the equations represent the same line, meaning every point on the line is a solution.

Front

How can you determine if a system of inequalities has no solution?

Back

A system of inequalities has no solution if the graphs of the inequalities do not overlap, meaning there is no region that satisfies all inequalities.

Front

What inequality represents a budget constraint for purchasing items?

Back

An inequality representing a budget constraint shows that the total cost of items must be less than or equal to the budget.

Front

What is the significance of shading in a graph of linear inequalities?

Back

Shading in a graph of linear inequalities indicates the region where the solutions to the inequalities are located.

Front

How do you solve a system of equations?

Back

To solve a system of equations, you can use methods such as substitution, elimination, or graphing to find the point(s) where the equations intersect.

Front

What does the term 'y-intercept' refer to in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x=0.

Front

What is the slope of a line, and how is it calculated?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is a feasible region in the context of linear programming?

Back

A feasible region is the area on a graph that satisfies all constraints of a linear programming problem.

Front

How do you interpret the solution of a system of equations graphically?

Back

The solution of a system of equations is the point(s) where the graphs of the equations intersect.