Graphing Linear Inequalities Quiz
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Questions and Answers

What is the definition of a solution to a linear inequality?

  • A single value that satisfies the inequality when substituted into the inequality.
  • An ordered pair (x, y) that does not satisfy the inequality when substituted into the inequality.
  • A point on the graph of the inequality.
  • An ordered pair (x, y) that satisfies the inequality when substituted into the inequality. (correct)

    • For the inequality $y>x+4$, is the ordered pair (0,0) a solution?

  • Yes, because $0>0+4$.
  • No, because $0\ngeq0+4$.
  • No, because $0\ngt0+4$. (correct)
  • Yes, because $0\ngeq0+4$.

    • What does it mean for both sides of an equation to equal 5?

  • The equation is a solution to a linear inequality.
  • The equation represents parallel lines.
  • The equation is balanced. (correct)
  • The equation represents a line on the graph.

    • What is the graph of the inequality $yx-3$?

    <p>The graph is not defined as a linear inequality.</p> Signup and view all the answers

    Before graphing linear inequalities, what should be done?

    <p>Take a prerequisite quiz.</p> Signup and view all the answers

    What is the definition of a solution to a linear inequality in two variables?

    <p>An ordered pair (x, y) that satisfies the inequality when substituted into the inequality.</p> Signup and view all the answers

    For the inequality $y>x+4$, is the ordered pair (0,0) a solution?

    <p>No, because the inequality is not true when the values are substituted.</p> Signup and view all the answers

    What does it mean for both sides of an equation to equal 5?

    <p>The equation is balanced and holds true for the given values.</p> Signup and view all the answers

    What is the significance of the expression $yx-3$ in the context of linear inequalities?

    <p>It represents a linear equation in two variables.</p> Signup and view all the answers

    What does it mean for an ordered pair to be a solution to a linear inequality?

    <p>The inequality is true when the values of x and y are substituted into the inequality.</p> Signup and view all the answers

    What is the definition of a solution to a linear inequality in two variables?

    <p>An ordered pair $(x, y)$ is a solution to a linear inequality if the inequality is true when the values of $x$ and $y$ are substituted into the inequality.</p> Signup and view all the answers

    What should be done to determine whether an ordered pair is a solution to the inequality $y>x+4$?

    <p>Substitute the values of $x$ and $y$ into the inequality and check if it holds true.</p> Signup and view all the answers

    What is the significance of the expression $yx-3$ in the context of linear inequalities?

    <p>The expression $yx-3$ is used to test the solutions to a specific linear inequality.</p> Signup and view all the answers

    Before graphing linear inequalities, what should be done?

    <p>Determine the x-intercept and y-intercept of the linear inequality.</p> Signup and view all the answers

    What does it mean for both sides of an equation to equal 5?

    <p>It means that any value substituted for the variable will result in both sides being equal to 5.</p> Signup and view all the answers

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