Grade 8 Math Reviewer: Linear Equations & Inequalities
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Questions and Answers

What is the definition of an inequality in algebra?

  • A mathematical sentence that uses the symbols ≤ or ≥
  • A mathematical statement consisting of an equal symbol between two algebraic expressions
  • A mathematical relationship between two expressions using the symbols of inequality (correct)
  • A mathematical sentence that uses the equality symbol or equal sign

    • What does the boundary line of a linear inequality do in the coordinate plane?

  • Divides the coordinate plane into two equal halves
  • Represents the ordered pair that is a solution to the system of inequalities
  • Divides the coordinate plane into shaded and unshaded regions (correct)
  • Contains the points that are solutions of the inequality

    • What is a system of linear inequalities in two variables?

  • A set of two or more inequalities considered simultaneously (correct)
  • A mathematical sentence that uses the equality symbol or equal sign
  • An ordered pair (x,y) that is a solution to a set of inequalities
  • A mathematical relationship between two expressions using the symbols of inequality

    • Which statement describes a TRUE solution of linear inequalities?

    <p>7 is less than 8</p> Signup and view all the answers

    In graphing systems of linear inequalities, what shows the relationship between input and output?

    <p>The relation</p> Signup and view all the answers

    What is a linear equation in two variables?

    <p>A mathematical statement consisting of an equal symbol between two algebraic expressions</p> Signup and view all the answers

    What is the first element of an ordered pair in a relation called?

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

    Which set represents the set of ordinate in a relation?

    <p>{-4,2,3,4,5}</p> Signup and view all the answers

    How can a relation be illustrated through graphs?

    <p>By plotting points on a rectangular coordinate plane</p> Signup and view all the answers

    What is the vertical line test used for in relation to graphs?

    <p>To determine if the graph represents a function</p> Signup and view all the answers

    What is a relation that derives one output for each given input called?

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

    Which variable controls the dependent variable in a relation?

    <p>Independent variable</p> Signup and view all the answers

    What is the hypothesis in a conditional statement also called?

    <p>&quot;If&quot; statement</p> Signup and view all the answers

    Study Notes

    Inequalities and Graphing

    • An inequality in algebra is a statement that compares two expressions using an inequality symbol (<, >, ≤, ≥, ≠).

    Boundary Line of a Linear Inequality

    • The boundary line of a linear inequality in the coordinate plane separates the region that satisfies the inequality from the region that does not.

    Systems of Linear Inequalities

    • A system of linear inequalities in two variables is a set of two or more linear inequalities that must be satisfied simultaneously.

    Solutions of Linear Inequalities

    • A TRUE solution of linear inequalities is a coordinate point that satisfies all the inequalities in the system.

    Graphing Systems of Linear Inequalities

    • The graph of a system of linear inequalities shows the relationship between input and output.

    Linear Equations

    • A linear equation in two variables is an equation that can be written in the form Ax + By = C, where A, B, and C are constants.

    Ordered Pairs

    • The first element of an ordered pair in a relation is called the abscissa (x-coordinate).
    • The set of all possible y-coordinates of an ordered pair in a relation represents the set of ordinates.

    Graphing Relations

    • A relation can be illustrated through graphs by plotting the corresponding ordered pairs.
    • The vertical line test is used to determine if a graph represents a function.

    Functions

    • A relation that derives one output for each given input is called a function.

    Independent and Dependent Variables

    • The independent variable controls the dependent variable in a relation.

    Conditional Statements

    • The hypothesis in a conditional statement is also called the antecedent.

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    Description

    Test your knowledge of linear equations and inequalities in algebra with this Grade 8 math reviewer. Explore the mathematical statements and relationships between algebraic expressions, as well as the representation of linear equations and inequalities in two variables.

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