2.1 Notation, Vocabulary, and Manipulation

    Cards (40)

    • What is a variable in an algebraic expression?
      Symbol representing unknown values
    • What is the numerical factor multiplying a variable called?
      Coefficient
    • What are the constants in the expression `5x + 3y - 2`?
      -2
    • When multiplying powers with the same base, you add the exponents
    • What are like terms in algebraic expressions?
      Terms with same variable(s) and exponent(s)
    • Exponents indicate how many times to multiply a base number by itself
    • What is the result of adding like terms in the expression `2x + 3x`?
      5x
    • Like terms in algebraic expressions must have the same variable(s) and exponent(s).

      True
    • What is the first step in multiplying algebraic expressions?
      Apply distributive property
    • Divide the algebraic expression: `(8x² + 4x) / (2x)`
      4x + 2
    • Expand the brackets in the expression: `3(2x + 4)`
      6x + 12
    • The greatest common factor (GCF) is the largest factor that divides all terms evenly.

      True
    • An algebraic expression combines numbers, variables, and arithmetic operations
    • Constants in algebraic expressions are fixed numerical values
    • In the algebraic expression `3x + 5`, the term `3x` combines a number and a variable
    • What is the value of 3²?
      9
    • Adding like terms involves combining their coefficients.
      True
    • Combining like terms in subtraction involves subtracting their coefficients
    • Match the algebraic component with its definition:
      Variables ↔️ Symbols representing unknown values
      Constants ↔️ Fixed numerical values
      Coefficients ↔️ Numerical factors multiplying variables
    • When dividing powers with the same base, you subtract the exponents
    • Simplify the algebraic expression: `2x + 3y + 4 + 5x - y + 2`
      7x + 2y + 6
    • Simplify the algebraic expression: `2x + 3y + 4 + 5x - y + 2`
      7x + 2y + 6
    • Multiply the algebraic expression: `2x * (3x + 4)`
      6x² + 8x
    • Evaluate the expression using PEMDAS: `12 ÷ (4 + 2) * 3 - 1`
      5
    • To expand brackets, you multiply each term inside by the factor outside.

      True
    • Factorize the algebraic expression: `4x + 12`


      4(x + 3)
    • In the algebraic expression `3x + 5`, the number `3` is a coefficient.
      True
    • In the expression `5x + 3y - 2`, the constant is `-2`.

      True
    • Match the exponent notation with its definition:
      Base ↔️ The number being multiplied
      Exponent ↔️ Indicates how many times to multiply the base
    • What are like terms in algebraic expressions?
      Terms with same variable and exponent
    • Combining like terms in addition involves adding their coefficients.
      True
    • What arithmetic operations are used in algebraic expressions?
      Addition, subtraction, multiplication, division
    • When multiplying powers with the same base, you add the exponents.

      True
    • When subtracting like terms, you subtract their coefficients
    • Adding like terms involves combining their coefficients
    • When dividing algebraic expressions with the same base, you subtract their exponents
    • Steps in the order of operations (PEMDAS)
      1️⃣ Parentheses/Brackets
      2️⃣ Exponents/Orders
      3️⃣ Multiplication and Division
      4️⃣ Addition and Subtraction
    • The order of operations is often remembered by the acronym PEMDAS
    • What is the first operation performed in the expression `(3 + 2) * 4` according to PEMDAS?
      Addition within parentheses
    • Expanding brackets involves applying the distributive law.
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