Math Test: Linear Inequalities and Systems, Area Model, Exponent Rules

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10 Questions

When graphing linear inequalities on a graph, the shaded area represents the solutions that satisfy the ______.

inequality

In solving linear inequalities, pay attention to the sign change when multiplying or dividing by a negative number to correctly ______ the inequality.

flip

The substitution method in linear systems involves replacing one variable with an expression to find the ______ solution.

unique

When graphing systems of linear inequalities, the overlapping shaded region indicates the ______ solutions of the system.

feasible

Using the area model helps in visualizing the multiplication of numbers to find the total ______.

area

When solving a system of linear inequalities, what does it mean if the shaded region on the graph is empty?

There are no solutions to the system

In linear inequalities, what is the key point to remember about switching the inequality sign when multiplying or dividing by a negative number?

The inequality sign should be changed to the opposite direction

When graphing a system of linear inequalities, what does it mean if the shaded regions overlap completely?

The system has infinitely many solutions

In linear systems, what is the main purpose of using the substitution method?

To find the unique solution to the system

When graphing linear inequalities on a number line, what does it signify when the open circle is on a specific value?

That value is not included in the solutions

This math test covers graphing linear inequalities on graphs and number lines, solving linear inequalities with a focus on switching inequalities, linear systems using substitution and equal values method, graphing systems of linear inequalities, as well as area models and exponent rules.

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