Questions and Answers
What is a model in mathematics?
What is a constraint in a model?
A limitation on the possible values of variables
Equivalent equations are equations that have different solutions.
False
What is a system of equations?
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What is the solution to a system of equations?
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What does substitution mean in algebra?
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What is elimination in solving systems of equations?
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Equivalent systems of equations share different solution sets.
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What is a system of inequalities?
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What are solutions to a system of inequalities?
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Study Notes
Vocabulary in Algebra 1
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Model
Mathematical or statistical representation used to solve problems across various fields, such as science and technology. -
Constraint
Limitations on variable values within a model, often expressed through equations or inequalities (e.g., d ≥ 0 for non-negative distance). -
Equivalent Equations
Equations that yield the same solutions, thus are interchangeable in problem-solving. -
System of Equations
A collection of two or more equations that together represent the constraints of a particular situation. -
Solution to a System of Equations
A coordinate pair that satisfies all equations in a system, marked by the intersection point of graphs in visual representations. -
Substitution
The process of replacing a variable with a corresponding expression to simplify solving equations. -
Elimination
A technique for solving systems of equations by adding or subtracting equations to isolate and eliminate variables, allowing the solution of the remaining variable. -
Equivalent Systems
Systems of equations that possess identical solution sets, implying they represent the same constraints. -
System of Inequalities
Comprises two or more inequalities that collectively depict the constraints of a given scenario. -
Solutions to a System of Inequalities
All pairs of values that satisfy inequalities in a system, represented by overlapping regions of the inequality graphs.
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Test your understanding of key vocabulary in Algebra 1 Unit 2 with these flashcards. Each card presents a math-related term along with its definition to enhance your learning experience. Perfect for building a solid foundation in algebraic concepts.