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Questions and Answers
What is an algebraic expression?
What is an algebraic expression?
- A group of numbers and/or variables connected by operations (correct)
- A group of variables only
- An operation without any variables
- A group of numbers only
What is a coefficient?
What is a coefficient?
The number in front of a variable.
What is a constant?
What is a constant?
Quantities that we already know written in an expression.
What is the elimination method?
What is the elimination method?
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Define a factor.
Define a factor.
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What is a formula?
What is a formula?
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What defines an inequality?
What defines an inequality?
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What are like terms?
What are like terms?
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What is an operation in algebra?
What is an operation in algebra?
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What is the substitution method?
What is the substitution method?
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Define a system of equations.
Define a system of equations.
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What is a term in algebra?
What is a term in algebra?
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What are unlike terms?
What are unlike terms?
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What is a variable?
What is a variable?
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Study Notes
Algebraic Expressions
- Defined as combinations of numbers and/or variables connected by operations like addition, subtraction, multiplication, and division.
Coefficient
- Represents the numerical factor in front of a variable within an expression.
Constant
- Refers to known quantities present in an algebraic expression that do not change.
Elimination Method
- A technique used to solve systems of equations by manipulating and combining equations to remove a variable.
Factor
- Describes numbers or variables that can be multiplied together to form a term.
Formula
- An equation that expresses a specific relationship between quantities, providing a way to calculate one variable from others.
Inequality
- A mathematical statement that uses symbols to express relationships such as greater than, less than, or not equal to.
Like Terms
- Terms within an expression that share identical variables raised to the same power, allowing for their combination.
Operation
- Defines the connection or action between variables and constants within an expression, including addition, subtraction, multiplication, and division.
Substitution Method
- A strategy for solving systems of equations that involves replacing a variable in one equation with an expression derived from another equation.
System of Equations
- A set of two or more equations that share the same variables, which can be solved simultaneously.
Term
- Constitutes a single mathematical entity which can be a number, variable, or a product/quotient of numbers and variables.
Unlike Terms
- Terms that contain the same variable but differ in their powers, making them unable to combine.
Variable
- A symbol used to represent an unknown quantity in mathematical expressions, indicating values that are not fixed.
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