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. (D)</p> Signup and view all the answers

Before graphing linear inequalities, what should be done?

<p>Take a prerequisite quiz. (D)</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. (C)</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. (A)</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. (B)</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. (B)</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. (C)</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. (C)</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. (C)</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. (A)</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. (C)</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. (C)</p> Signup and view all the answers

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