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    • Free Algebra & Expressions Worksheets

    Evaluate numeric and algebraic expressions: order of operations, exponents, evaluating and simplifying algebraic expressions, combining like terms, the distributive property, one-variable inequalities, and absolute value.

    Activity:

    Order of Operations

    Apply PEMDAS/BODMAS/GEMS rules to multi-step expressions. Customizable inclusion of parentheses, exponents, and operations.

    Difficulty levels: Basic through multi-step with all operations

    Order of Operations with Whole Numbers
    Level 1 Smaller numbers
    Order of Operations with Whole Numbers (3 steps - Level 1)
    Order of Operations with Whole Numbers (3-4 steps - Level 1)
    Order of Operations with Whole Numbers (4 steps - Level 1)
    Order of Operations with Whole Numbers (4-5 steps - Level 1)
    Order of Operations with Whole Numbers (5 steps - Level 1)
    Level 2 Medium numbers
    Order of Operations with Whole Numbers (3 steps - Level 2)
    Order of Operations with Whole Numbers (3-4 steps - Level 2)
    Order of Operations with Whole Numbers (4 steps - Level 2)
    Order of Operations with Whole Numbers (4-5 steps - Level 2)
    Order of Operations with Whole Numbers (5 steps - Level 2)
    Level 3 Larger numbers
    Order of Operations with Whole Numbers (3 steps - Level 3)
    Order of Operations with Whole Numbers (3-4 steps - Level 3)
    Order of Operations with Whole Numbers (4 steps - Level 3)
    Order of Operations with Whole Numbers (4-5 steps - Level 3)
    Order of Operations with Whole Numbers (5 steps - Level 3)
    Order of Operations with some Decimals
    Level 1 Smaller numbers
    Order of Operations with Decimals (3 steps - Level 1)
    Order of Operations with Decimals (3-4 steps - Level 1)
    Order of Operations with Decimals (4 steps - Level 1)
    Order of Operations with Decimals (4-5 steps - Level 1)
    Order of Operations with Decimals (5 steps - Level 1)
    Level 2 Medium numbers
    Order of Operations with Decimals (3 steps - Level 2)
    Order of Operations with Decimals (3-4 steps - Level 2)
    Order of Operations with Decimals (4 steps - Level 2)
    Order of Operations with Decimals (4-5 steps - Level 2)
    Order of Operations with Decimals (5 steps - Level 2)
    Level 3 Larger numbers
    Order of Operations with Decimals (3 steps - Level 3)
    Order of Operations with Decimals (3-4 steps - Level 3)
    Order of Operations with Decimals (4 steps - Level 3)
    Order of Operations with Decimals (4-5 steps - Level 3)
    Order of Operations with Decimals (5 steps - Level 3)
    Order of Operations with Integers
    Level 1 Smaller numbers
    Order of Operations with Integers (3 steps - Level 1)
    Order of Operations with Integers (3-4 steps - Level 1)
    Order of Operations with Integers (4 steps - Level 1)
    Order of Operations with Integers (4-5 steps - Level 1)
    Order of Operations with Integers (5 steps - Level 1)
    Level 2 Medium numbers
    Order of Operations with Integers (3 steps - Level 2)
    Order of Operations with Integers (3-4 steps - Level 2)
    Order of Operations with Integers (4 steps - Level 2)
    Order of Operations with Integers (4-5 steps - Level 2)
    Order of Operations with Integers (5 steps - Level 2)
    Level 3 Larger numbers
    Order of Operations with Integers (3 steps - Level 3)
    Order of Operations with Integers (3-4 steps - Level 3)
    Order of Operations with Integers (4 steps - Level 3)
    Order of Operations with Integers (4-5 steps - Level 3)
    Order of Operations with Integers (5 steps - Level 3)

    Exponents

    Evaluate exponent expressions with adjustable bases and powers. Build toward order of operations mastery.

    Difficulty levels: Basic powers through larger values

    Whole Number Exponents
    1 step
    Whole Number Exponents — small base, small exponents
    Whole Number Exponents — small base, medium exponents
    Whole Number Exponents — small base, large exponents
    Whole Number Exponents — medium base, small exponents
    Whole Number Exponents — medium base, medium exponents
    Whole Number Exponents — medium base, large exponents
    Whole Number Exponents — large base, small exponents
    Whole Number Exponents — large base, medium exponents
    Whole Number Exponents — large base, large exponents
    2 steps
    Whole Number Exponents — small base, small exponents
    Whole Number Exponents — small base, medium exponents
    Whole Number Exponents — small base, large exponents
    Whole Number Exponents — medium base, small exponents
    Whole Number Exponents — medium base, medium exponents
    Whole Number Exponents — medium base, large exponents
    Whole Number Exponents — large base, small exponents
    Whole Number Exponents — large base, medium exponents
    Whole Number Exponents — large base, large exponents
    Multi-step (3–4 steps)
    Whole Number Exponents — small base, small exponents
    Whole Number Exponents — small base, medium exponents
    Whole Number Exponents — small base, large exponents
    Whole Number Exponents — medium base, small exponents
    Whole Number Exponents — medium base, medium exponents
    Whole Number Exponents — medium base, large exponents
    Whole Number Exponents — large base, small exponents
    Whole Number Exponents — large base, medium exponents
    Whole Number Exponents — large base, large exponents
    Integer Exponents
    1 step
    Integer Exponents — small base, small exponents
    Integer Exponents — small base, medium exponents
    Integer Exponents — small base, large exponents
    Integer Exponents — medium base, small exponents
    Integer Exponents — medium base, medium exponents
    Integer Exponents — medium base, large exponents
    Integer Exponents — large base, small exponents
    Integer Exponents — large base, medium exponents
    Integer Exponents — large base, large exponents
    2 steps
    Integer Exponents — small base, small exponents
    Integer Exponents — small base, medium exponents
    Integer Exponents — small base, large exponents
    Integer Exponents — medium base, small exponents
    Integer Exponents — medium base, medium exponents
    Integer Exponents — medium base, large exponents
    Integer Exponents — large base, small exponents
    Integer Exponents — large base, medium exponents
    Integer Exponents — large base, large exponents
    Multi-step (3–4 steps)
    Integer Exponents — small base, small exponents
    Integer Exponents — small base, medium exponents
    Integer Exponents — small base, large exponents
    Integer Exponents — medium base, small exponents
    Integer Exponents — medium base, medium exponents
    Integer Exponents — medium base, large exponents
    Integer Exponents — large base, small exponents
    Integer Exponents — large base, medium exponents
    Integer Exponents — large base, large exponents
    Decimal Exponents
    1 step
    Decimal Exponents — small base, small exponents
    Decimal Exponents — small base, medium exponents
    Decimal Exponents — small base, large exponents
    Decimal Exponents — medium base, small exponents
    Decimal Exponents — medium base, medium exponents
    Decimal Exponents — medium base, large exponents
    Decimal Exponents — large base, small exponents
    Decimal Exponents — large base, medium exponents
    Decimal Exponents — large base, large exponents
    2 steps
    Decimal Exponents — small base, small exponents
    Decimal Exponents — small base, medium exponents
    Decimal Exponents — small base, large exponents
    Decimal Exponents — medium base, small exponents
    Decimal Exponents — medium base, medium exponents
    Decimal Exponents — medium base, large exponents
    Decimal Exponents — large base, small exponents
    Decimal Exponents — large base, medium exponents
    Decimal Exponents — large base, large exponents
    Multi-step (3–4 steps)
    Decimal Exponents — small base, small exponents
    Decimal Exponents — small base, medium exponents
    Decimal Exponents — small base, large exponents
    Decimal Exponents — medium base, small exponents
    Decimal Exponents — medium base, medium exponents
    Decimal Exponents — medium base, large exponents
    Decimal Exponents — large base, small exponents
    Decimal Exponents — large base, medium exponents
    Decimal Exponents — large base, large exponents

    Algebraic Expressions

    Evaluate algebraic expressions for given values, combine like terms, and apply the distributive property. Choose any mix of the three question types.

    Difficulty levels: Evaluate, combine like terms, distribute

    Algebraic Expressions
    Evaluate expressions
    Combine like terms
    Distributive property
    Combine like terms & distribute
    Mixed (all three types)

    Inequalities

    Solve one- and two-step one-variable inequalities and give the solution (e.g. x < 4). Optionally include negative coefficients that flip the inequality sign.

    Difficulty levels: One-step through two-step

    Inequalities
    One-step
    Two-step
    One & two-step (mixed)
    One-step with negatives (may flip the sign)
    Two-step with negatives (may flip the sign)

    Absolute Value

    Evaluate absolute values and absolute-value expressions (e.g. |−7|, |3 − 8|, −|5| + 2). Answers to expressions may be negative.

    Difficulty levels: Evaluate and expressions

    Absolute Value
    Evaluate absolute value
    Absolute value expressions
    Mixed

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