Questions and Answers
What is the order of operations?
What does it mean to evaluate?
To calculate the value of.
What is a variable?
A letter used to represent a changeable, or unknown, value.
What is a coefficient?
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What is a constant?
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What is a term in algebra?
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What is a numerical expression?
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What is an algebraic expression?
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What is a simplified expression?
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What does equivalent mean in mathematics?
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What is the distributive property?
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What are like terms?
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What is an equation?
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What are inverse operations?
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What is an inequality?
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What is a solution in mathematics?
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What is the addition property?
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What is the multiplication property?
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What is the subtraction property?
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What is the division property?
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What are equivalent equations?
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What is a real number?
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What is a rational number?
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What is an irrational number?
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Study Notes
Order of Operations
- A systematic set of rules to evaluate expressions with multiple operations.
Evaluate
- The process of calculating the numerical value of an expression.
Variable
- Represents a changeable or unknown value, commonly denoted by letters.
Coefficient
- A numeric factor that multiplies a variable in an algebraic expression, placed before the variable.
Constant
- A standalone term without a variable that has a fixed value.
Term
- Individual components of an algebraic expression, which can be constants, coefficients, or variables.
Numerical Expression
- An expression consisting solely of numbers and operational symbols, without variables.
Algebraic Expression
- A combination of numbers, variables, and at least one operational symbol representing a value.
Simplified Expression
- Represents a form of expression that combines like terms and excludes any grouping symbols.
Equivalent
- Refers to two expressions or values that are equal in magnitude or worth.
Distributive Property
- A fundamental property illustrated by the formula a(b + c) = ab + ac, used for expanding expressions.
Like Terms
- Terms that share identical variable factors and exponents; coefficients may differ but variables must match.
Equation
- A mathematical statement asserting that two expressions are equal.
Inverse Operations
- Operations that effectively reverse or nullify each other, such as addition and subtraction or multiplication and division.
Inequality
- A mathematical comparison between two quantities indicating they are not equivalent, using symbols like <, ≤, ≥, or ≠.
Solution
- The value or set of values that fulfill the requirements of an equation or inequality.
Addition Property
- A property that allows the addition of the same value to both sides of an equation, maintaining equality.
Multiplication Property
- Similar to addition, this property permits the multiplication of each side of an equation by the same nonzero value.
Subtraction Property
- States that subtracting the same value from both sides of an equation keeps the equality intact.
Division Property
- Involves dividing both sides of an equation by the same nonzero value to preserve the equation's equality.
Equivalent Equations
- Two or more equations that yield the same solution despite possibly differing in appearance.
Real Number
- Encompasses all numbers that can be depicted on a number line.
Rational Number
- A specific type of real number that can be expressed as a fraction, a terminating decimal, or a repeating decimal.
Irrational Number
- Defined by non-repeating and non-terminating decimal representations, not expressible as a simple fraction.
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Description
This quiz covers key concepts from Algebra 1 Unit 1, focusing on essential terms like order of operations, evaluation, variables, and coefficients. Each flashcard provides a concise definition to enhance your understanding of foundational algebra concepts.
