Algebra 1 Unit 2 Vocabulary Flashcards

Questions and Answers

What is a model in mathematics?

A mathematical or statistical representation of a problem (correct)

An irrelevant equation

A frequent solution to an equation

A graphical representation of data

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?

Two or more equations that represent constraints in the same situation. Signup and view all the answers

What is the solution to a system of equations?

A coordinate pair that makes both equations true. Signup and view all the answers

What does substitution mean in algebra?

Replacing a variable with an expression it is equal to. Signup and view all the answers

What is elimination in solving systems of equations?

Adding or subtracting a multiple of one equation to another to eliminate a variable. Signup and view all the answers

Equivalent systems of equations share different solution sets.

False Signup and view all the answers

What is a system of inequalities?

Two or more inequalities that represent constraints in the same situation. Signup and view all the answers

What are solutions to a system of inequalities?

All pairs of values that make the inequalities true. Signup and view all the answers

Study Notes

Vocabulary in Algebra 1

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.

Description

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.