Grade 8 Math Quiz & Flashcards: Linear Equations

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Questions and Answers

Match the following symbols with their meaning in linear inequalities:

< = Less than

= Greater than ≤ = Less than or equal to ≥ = Greater than or equal to

Match the following terms with their definitions in algebra:

Equation = Mathematical statement with an equal symbol between two algebraic expressions Inequality = Mathematical relationship between two expressions represented using symbols of inequality Boundary line = Divides the coordinate plane into two half-planes in graphing linear inequalities Ordered pair = Solution of linear inequalities if it satisfies all the inequalities in the system

Match the following descriptions with their corresponding concepts in graphing linear inequalities:

Shaded region = Contains the points that are solutions of the inequality Unshaded region = Contains the points that are not solutions of the inequality Half-planes = Divided by the boundary line in graphing linear inequalities Coordinate plane = The plane where the boundary line divides into shaded and unshaded regions

Match the following statements with their correct relation in systems of linear inequalities:

System of linear inequalities = Set of two or more inequalities considered simultaneously Solution to a system of inequalities = Ordered pair (x,y) that satisfies all the inequalities in the system Ordered pair as TRUE solution = (x,y) that satisfies all the inequalities in a system Input and output relation = Shows the relationship between INPUT and OUTPUT in systems of linear inequalities Signup and view all the answers

Match the following with their definitions:

Domain = Set of abscissa Range = Set of ordinate Independent variable = Variable whose value determines the value of the other variable Dependent variable = Variable whose value is determined by the value of the other variable Signup and view all the answers

Match the following with their representations:

Graph = Illustrates functions and relations Arrow diagram = Illustrates domain and range with elements not repeated Ordered pairs = Set of x and y pair Vertical line test = Used to determine whether the graph is a function or not Signup and view all the answers

Match the following with their characteristics:

Function = Derives one output for each given input Conditional statements = Also called 'if-then statement' Hypothesis = States the conditions on which the declaration is based Conclusion = States the result or actual declaration Signup and view all the answers

Match the following with their illustrations:

Table of values = Illustrates the relationship between domain and range Venn diagram = Illustrates conditional statements Graph = Can be illustrated by plotting points on a rectangular coordinate plane Arrow diagram = Consists of two ovals with domain on the left and range on the right Signup and view all the answers

Match the following with their definitions:

Abscissa = The first element of an ordered pair (x,y) Ordinate = The second element of an ordered pair (x,y) Conditional statements = Also called 'if-then statement' Conclusion = States the result or actual declaration Signup and view all the answers

Match the following with their representations:

Vertical line test = Used to determine whether the graph is a function or not Ordered pairs = Set of x and y pair Graph = Illustrates functions and relations Arrow diagram = Illustrates domain and range with elements not repeated Signup and view all the answers

Match the following with their characteristics:

Function = Derives one output for each given input Domain = Set of abscissa Range = Set of ordinate Independent variable = Variable whose value determines the value of the other variable Signup and view all the answers

Match the following with their illustrations:

Table of values = Illustrates relationship between domain and range Venn diagram = Illustrates conditional statements Graph = Can be illustrated by plotting points on a rectangular coordinate plane Arrow diagram = Consists of two ovals with domain on the left and range on the right Signup and view all the answers

Match the following with their definitions:

Match the following with their representations:

Study Notes

Symbols in Linear Inequalities

Common symbols include: > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to).
Each symbol indicates the relationship between two expressions or values.

Terms in Algebra

Variables represent unknown quantities (typically denoted as x, y).
Coefficients are numerical factors in front of variables (e.g., in 3x, 3 is the coefficient).
Constants are fixed values that do not change (e.g., in the equation y = 2x + 5, 5 is a constant).

Graphing Linear Inequalities

Solid lines represent inclusive inequalities (≥ or ≤), while dashed lines represent exclusive inequalities (> or <).
The solution region is shaded to indicate all possible solutions.

Systems of Linear Inequalities

A system consists of multiple linear inequalities considered simultaneously.
Solutions to the system are found in the overlapping shaded regions of the graph.

Definitions

A linear inequality is an inequality which involves a linear expression.
A feasible region is the set of all possible solutions that satisfy the given inequalities.

Representations

Graphs visually represent inequalities, showing solution sets in two-dimensional space.
Algebraic expressions define relationships and constraints mathematically.

Characteristics of Linear Inequalities

They demonstrate linear relationships, maintaining constant rate of change.
The solution set can consist of infinite points within a defined region.

Illustrations of Linear Inequalities

Visual aids, such as graphs and charts, can effectively demonstrate inequalities and solutions.
Each graph's style (solid or dashed line, shading) conveys different meanings about the constraints involved.

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Description

Prepare for your grade 8 math exam with this quiz reviewing linear equations and inequalities. Test your understanding of mathematical statements, equal symbols, algebraic expressions, and mathematical relationships between two expressions.