Pre-Algebra worksheets
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Column addition & subtraction
Grade 4
Add and subtract multi-digit whole numbers with regrouping
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In teaching order
Pre-Algebra worksheets, easiest first
Each sheet assumes the one above it is comfortable. Start where your child is, not at the top.- Column addition & subtraction
Print 364 + 285 = __ - Multi-digit multiplication
Print 234 × 56 = __ - 2-digit by 1-digit multiplication
Print 47 × 6 = __ - 3-digit by 1-digit multiplication
Print 316 × 8 = __ - 2-digit by 2-digit multiplication
Print 34 × 26 = __ - 4-digit by 1-digit multiplication
Print 2431 × 6 = __ - Long division
Print 576 ÷ 8 = __ - 2-digit by 1-digit long division
Print 84 ÷ 6 = __ - 4-digit by 1-digit long division
Print 3724 ÷ 4 = __ - List the factors
Print 24 → __ - Prime or composite
Print 21 → prime or composite? - Multiples
Print 8 → __ - Order of operations
Print (3 + 4) × 2 = __ - 4-digit by 2-digit long division
Print 4352 ÷ 16 = __ - Greatest common factor
Print 42, 54 → GCF = __ - Least common multiple
Print 4, 6 → LCM = __ - GCF & LCM puzzles
Print GCF 5, LCM 30, two digits → __ and __ - Solving equations
Print 3x + 5 = 20 - Variables on both sides
Print 5x + 3 = 2x + 18 - Slope and y-intercept
Print y = 3x + 5 - Systems of equations
Print 2x + 3y = 1 - How many solutions?
Print 3x + 2 = 3x + 5 - Rational or irrational
Print √16 or √17? - Estimating square roots
Print √10 ≈ ___ - Is it a function?
Print (1, 3) (2, 5) (1, 7) - Linear or nonlinear
Print y = 2x² + 3 - Evaluating expressions
Print 3x + 4, x = 5 - Combining like terms
Print 4x + 3 + 2x + 5 - Distributive property
Print 3(2x + 5) - Absolute value
Print |3 − 8| = __ - Solving inequalities
Print x + 7 > 12 - Two-step equations
Print 3x + 5 = 20 - Slope from two points
Print (2, 3) and (5, 9) - Systems by elimination
Print add to cancel y - Systems by substitution
Print y = 2x + 1 - One-step multiplication and division equations
Print 3x = 21 - Multiplication and division inequalities
Print −2x < 8 - Two-step inequalities
Print 2x + 3 ≤ 11 - Slope from an equation
Print y = 3x + 5 → m - Y-intercept from an equation
Print y = 3x + 5 → b - Number of solutions
Print 3x + 2 = 3x + 5 - Solutions after expanding
Print 2(x + 3) = 2x + 6 - Rational or irrational roots
Print √16 or √17? - Rational or irrational numbers
Print 0.75, π, ⅔ - Square roots between integers
Print √10 is between ___ - Square roots to one decimal place
Print √10 ≈ 3.2 - Function from ordered pairs
Print (1, 3) (2, 5) (1, 7) - Function from a table
Print x: 2, 4, 2 - Linear from an equation
Print y = 2x² + 3 - Linear from a table
Print x: 1 2 3, y: 2 4 8
A simple way through pre-algebra
Two threads run through this stage. The first is the standard written algorithms for large numbers — column addition and subtraction, multi-digit multiplication, and long division. Each is sized by digit count rather than a vague range, so a sheet is exactly '3-digit by 2-digit' or '4-digit by 1-digit', the way a curriculum describes it.
Why this order works
The second thread is structure. Order of operations teaches that a single expression has one agreed answer, with parentheses that can change it. Listing factors, then finding a greatest common factor or least common multiple, teaches children to look inside a number at the pieces it is built from — the skill that makes simplifying fractions and, later, factoring possible.