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Questions and Answers
What is the definition of an inequality in algebra?
What does the boundary line of a linear inequality do in the coordinate plane?
What is a system of linear inequalities in two variables?
Which statement describes a TRUE solution of linear inequalities?
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In graphing systems of linear inequalities, what shows the relationship between input and output?
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What is a linear equation in two variables?
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What is the first element of an ordered pair in a relation called?
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Which set represents the set of ordinate in a relation?
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How can a relation be illustrated through graphs?
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What is the vertical line test used for in relation to graphs?
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What is a relation that derives one output for each given input called?
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Which variable controls the dependent variable in a relation?
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What is the hypothesis in a conditional statement also called?
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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.
