Real numbers
Classifying real numbers worksheets
Classify fourteen values into every applicable number set. Compare integers, reducible and irreducible signed fractions, square roots and pi with a separate answer key.
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8th grade math worksheets
Connect real numbers and exponent rules to equations, then read and write linear relationships before applying right-triangle and transformation reasoning.
22 printable resources, grouped by skill. Start where the learner is ready; grade expectations vary by school and curriculum.
A useful starting point
Begin when signed arithmetic and one- or two-step equations are reasonably secure. If most errors come from integer operations, use the Grade 7 rational-number group before adding multi-step equation structure.
Discuss together
What is the slope of the line through (−2, 1) and (4, 10)?
3/2The vertical change is 10 − 1 = 9 and the horizontal change is 4 − (−2) = 6. Divide in the same point order: slope = 9/6 = 3/2. The positive result matches a line that rises from left to right.
Five-resource starter
Open an editable Grade 8 packet
Load five existing worksheets in the packet builder. Reorder them, add or remove resources, choose a student or teacher packet, then download the version you need.
- Classifying real numbers
- Multiplying and dividing powers
- Variables on both sides equations
- Finding slope from two points
- Pythagorean theorem worksheet: missing side lengths
Step 1
Real numbers, powers and roots
Classify each number by its most specific set, connect powers and roots as inverse operations, and apply exponent rules only when the bases and operation support them.
Exponents and radicals
Simple integer exponents worksheets
Generate 20 powers using positive or negative integer bases. Choose any exponent values from −4 through 5, including zero and negative powers, with a separate answer key.
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Exponents and radicals
Multiplying and dividing powers worksheets
Choose multiplication, division or a balanced mix for 12 exponent-law problems. Use positive or mixed signed exponents with exact simplified answers.
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Exponents and radicals
Scientific notation operations worksheets
Select multiplication, division and powers for 12 scientific notation problems. Choose exponent signs, normalize coefficients and keep exact answers or clearly marked approximations.
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Exponents and radicals
Perfect squares and cubes worksheets
Create 18 questions on squares, cubes, square roots or cube roots. Set a base or root magnitude range from 1 to 20 and choose powers, roots or both.
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Exponents and radicals
Simplifying square roots worksheets
Generate 10 square-root problems using perfect squares, nonperfect radicands or outside coefficients. Practice exact factor extraction with a separate answer key.
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Linear equations and solution sets
Distribute and combine like terms before gathering variable terms to solve an ordinary linear equation. If the variable terms cancel, compare the remaining constants to decide whether no value or every value works.
Equations
Multi-step integer equations worksheets
Choose from eleven equation structures for ten questions with integer operands. Practice like terms, grouped expressions and variables on either side, with exact worked solutions and separately rounded answers.
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Equations
Variables on both sides equations worksheets
Solve ten equations with the same variable on both sides. Choose the letter policy, constant and coefficient ranges, and signed or positive-only operands, with full worked solutions.
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Equations
Determining equation solution types worksheets
Classify twelve linear equations as having no solutions, one solution or infinitely many solutions. Choose any nonempty combination, with exact rational roots on separate keys.
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Slope and linear functions
Treat slope as a rate of change. Connect tables, points, graphs and equations while keeping the vertical and horizontal changes in the same order.
Linear functions
Finding slope from graphs worksheets
Read eight graphed lines and find each exact slope. Use the coordinate scale to compare rise and run, then check a separate answer key with worked calculations.
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Linear functions
Finding slope from two points worksheets
Calculate exact slopes from ten pairs of integer-coordinate points. Practice signed differences and reduced fractions, with a separate key that explains the slope calculation.
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Linear functions
Slope and y-intercept from equations worksheets
Find slope and y-intercept in ten linear equations. Choose slope-intercept form, standard form or both, and practice slope alone or both properties with exact answers.
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Linear functions
Graphing slope-intercept form worksheets
Graph eight lines in slope-intercept form. Choose graphing alone, graphing with slope and intercept questions, or writing an equation and graph from supplied properties.
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Linear functions
Writing linear equations from graphs worksheets
Write slope-intercept equations for eight graphed lines. Read the y-intercept, calculate an exact slope and check the equation against visible points with a separate worked key.
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Systems of linear equations
A solution must satisfy both equations. Compare graphing with algebraic methods and substitute the ordered pair back into each original equation.
Systems of equations
Solving systems of equations worksheets
Solve ten two-variable systems using substitution, elimination or any method. Choose four equation-pair structures and download exact, step-by-step answer keys.
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Systems of equations
Solving systems by graphing worksheets
Graph eight pairs of linear equations on blank coordinate grids. Choose equation forms, locate each intersection and check a separate key with both lines and the exact solution.
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Right triangles, transformations and similarity
Identify the hypotenuse before using squared lengths, then connect rigid transformations to congruence and scale factors to similarity.
Pythagorean theorem
Pythagorean theorem worksheet: missing side lengths
Print a four-question Pythagorean theorem worksheet for missing hypotenuses or legs. Choose whole-number triples or irrational results from whole or decimal givens.
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Pythagorean theorem
Distance between two points worksheets
Find distances on four coordinate grids with whole-number, decimal-tenths, radical or mixed coordinates. Choose first-quadrant or four-quadrant points and print separate worked solutions.
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Geometry
Coordinate Rotation Worksheets
Draw rotated images of triangles, quadrilaterals and box outlines on printable coordinate grids.
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Geometry
Mixed Transformation Worksheets
Choose translations, rotations and reflections for a mixed printable worksheet with separate answer keys.
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Geometry
Similar Polygons Worksheets
Decide whether polygon pairs are similar and find scale factors, with triangles, rectangles, trapezoids, parallelograms and other quadrilaterals.
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Geometry
Using Similar Polygons Worksheets
Find missing corresponding sides in similar polygons using given scale ratios or known side pairs, with eight problems and worked answers.
Preview and downloadChoose what to practice next
Begin with one short resource, review the learner's written reasoning and adjust the difficulty on the activity page. Revisit an earlier group when arithmetic errors obscure the new idea.