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

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.

<p>feasible</p> Signup and view all the answers

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

<p>area</p> Signup and view all the answers

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

<p>There are no solutions to the system</p> Signup and view all the answers

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

<p>The inequality sign should be changed to the opposite direction</p> Signup and view all the answers

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

<p>The system has infinitely many solutions</p> Signup and view all the answers

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

<p>To find the unique solution to the system</p> Signup and view all the answers

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

<p>That value is not included in the solutions</p> Signup and view all the answers

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