Algebra 1 - Unit 1 Flashcards
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Questions and Answers

What is the order of operations?

  • A way to sort numbers
  • An expression with only numbers
  • A method for solving equations
  • A set of rules for evaluating an expression involving more than one operation (correct)

    • 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?

    <p>A number multiplied by a variable in an algebraic expression.</p> Signup and view all the answers

    What is a constant?

    <p>A term that is on its own, without a variable, whose value does not change.</p> Signup and view all the answers

    What is a term in algebra?

    <p>Parts of an algebraic expression.</p> Signup and view all the answers

    What is a numerical expression?

    <p>An expression that contains only numbers and operations.</p> Signup and view all the answers

    What is an algebraic expression?

    <p>An expression containing numbers, variables and at least one operation.</p> Signup and view all the answers

    What is a simplified expression?

    <p>An expression that has all like terms combined and has no grouping symbols.</p> Signup and view all the answers

    What does equivalent mean in mathematics?

    <p>Equal to, or having the same value.</p> Signup and view all the answers

    What is the distributive property?

    <p>a(b + c) = ab + ac.</p> Signup and view all the answers

    What are like terms?

    <p>Terms in which all variables and their corresponding exponents are exactly the same.</p> Signup and view all the answers

    What is an equation?

    <p>A mathematical sentence where two expressions are set equal to each other.</p> Signup and view all the answers

    What are inverse operations?

    <p>Operations that 'undo' each other.</p> Signup and view all the answers

    What is an inequality?

    <p>A statement that compares two quantities using symbols like &lt;, ≤, ≥, or ≠.</p> Signup and view all the answers

    What is a solution in mathematics?

    <p>The value(s) that satisfy an equation or inequality.</p> Signup and view all the answers

    What is the addition property?

    <p>Adding a value to each side of an equation.</p> Signup and view all the answers

    What is the multiplication property?

    <p>Multiplying a value to each side of an equation.</p> Signup and view all the answers

    What is the subtraction property?

    <p>Subtracting a value from each side of an equation.</p> Signup and view all the answers

    What is the division property?

    <p>Dividing a value from each side of an equation.</p> Signup and view all the answers

    What are equivalent equations?

    <p>Equations that have the same solution.</p> Signup and view all the answers

    What is a real number?

    <p>All the numbers that can be represented by points on a number line.</p> Signup and view all the answers

    What is a rational number?

    <p>A real number that can be a fraction, terminating decimal, or repeating decimal.</p> Signup and view all the answers

    What is an irrational number?

    <p>Non-repeating and non-terminating decimals.</p> Signup and view all the answers

    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.

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