Grade 8 Math · Equations, Functions & Geometry
8th Grade Math: Free Worksheets, Practice Problems, Lessons & Tests
Review exponents, linear equations, functions, transformations and the Pythagorean theorem. Choose a lesson or skill quiz, then use mixed practice to plan your next review.
Exponents · Functions · Geometry
What math do 8th graders learn?
Eighth grade math is a bridge to Algebra 1. Students solve linear equations and systems of two linear equations, learn what a function is and compare functions, and work with exponents, square roots and scientific notation. In geometry they use the Pythagorean theorem, study transformations, and find the volume of cones, cylinders and spheres. They also read scatter plots and fit lines to data.
- Algebra
- Linear equations, systems of two equations, slope
- Functions
- Defining, comparing and modeling with functions
- Numbers
- Integer exponents, square and cube roots, scientific notation
- Geometry
- Pythagorean theorem, transformations, volume of cones, cylinders and spheres
Based on the Common Core State Standards. Your state’s standards and test may differ.
On this page
Grade 8 Math Practice Tests
Choose a Grade 8 practice activity and use your missed topics to plan review. Check each activity’s directions for its timer, question count and calculator settings. These independent activities are separate from your state or school assessment.
Common Core Practice Test 1
Use mixed practice to find topics for review.
Start Test 1 →
Common Core Practice Test 2
Try another set after reviewing your missed topics.
Start Test 2 →
Common Core Practice Test 3
Apply a reviewed method in mixed practice.
Start Test 3 →
Common Core Practice Test 4
Practice working through a set at a steady pace.
Start Test 4 →
Common Core Practice Test 5
Note any errors that recur in mixed practice.
Start Test 5 →
Common Core Practice Test 6
Use your results to choose the next review session.
Start Test 6 →
Common Core Grade 8 Math Study Tools
A few minutes of quick review, flip through flashcards or scan every key formula. Both open right here.
Common Core Grade 8 Math Skill Quizzes
Short, focused quizzes, pick one skill, answer 10 questions, get instant scoring and full solutions, then jump to the matching lesson. Each opens right here.
The Number System & Real Numbers
A quick 10-question check on The Number System & Real Numbers with instant scoring and step-by-step solutions.
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Exponents & Scientific Notation
A quick 10-question check on Exponents & Scientific Notation with instant scoring and step-by-step solutions.
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Equations & Inequalities
A quick 10-question check on Equations & Inequalities with instant scoring and step-by-step solutions.
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Functions
A quick 10-question check on Functions with instant scoring and step-by-step solutions.
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Geometry & Transformations
A quick 10-question check on Geometry & Transformations with instant scoring and step-by-step solutions.
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Statistics & Probability
A quick 10-question check on Statistics & Probability with instant scoring and step-by-step solutions.
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Financial Literacy
A quick 10-question check on Financial Literacy with instant scoring and step-by-step solutions.
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Mixed Grade 8 Review
A quick 10-question check on Mixed Grade 8 Review with instant scoring and step-by-step solutions.
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Curriculum reference: Common Core Grade 8 mathematics overview. Use the general learning progression to plan math review. Your state’s current curriculum and classroom assignments determine local expectations.
Common Core Grade 8 Math Topics
Choose a topic for review. Codes show the related Common Core expectation where there is a direct match. Supporting review and later-grade extensions are labeled separately; your classroom curriculum determines local expectations.
Number Sense
- 8.NS.A.1Rational and Irrational NumbersWorksheetsQuiz
- 8.NS.A.1Turning Repeating Decimals into FractionsWorksheetsQuiz
- 8.NS.A.2Estimating Irrational NumbersWorksheetsQuiz
- 8.NS.A.2Estimating Expressions with Irrational NumbersWorksheetsQuiz
- Supporting reviewPersonal Financial LiteracyWorksheetsQuiz
- Supporting reviewPrime Factorization with ExponentsWorksheetsQuiz
- Supporting reviewDensity of Real NumbersWorksheetsQuiz
Exponents and Scientific Notation
Equations and Inequalities
- 8.EE.B.5Graphing Proportional RelationshipsWorksheetsQuiz
- 8.EE.B.5Slope as Rate of ChangeWorksheetsQuiz
- 8.EE.B.6Slope and the Equations of a LineWorksheetsQuiz
- 8.EE.C.7Solving Linear Equations in One VariableWorksheetsQuiz
- 8.EE.C.8Solving Systems of Two EquationsWorksheetsQuiz
- 8.EE.C.8cSolving Real Problems with SystemsWorksheetsQuiz
- Supporting reviewSolving Linear InequalitiesWorksheetsQuiz
- Supporting reviewMultiplying Linear Expressions and FactoringWorksheetsQuiz
- Supporting reviewGraphing Linear Inequalities in Two VariablesWorksheetsQuiz
- Supporting reviewParallel and Perpendicular LinesWorksheetsQuiz
- Supporting reviewPoint Slope and Standard FormWorksheetsQuiz
- Supporting reviewLiteral EquationsWorksheetsQuiz
- Supporting reviewAbsolute Value Equations and InequalitiesWorksheetsQuiz
- 8.EE.C.7aEquations with Special SolutionsWorksheetsQuiz
Functions
- 8.F.A.1What is a FunctionWorksheetsQuiz
- 8.F.A.1Reading Function ValuesWorksheetsQuiz
- 8.F.A.2Comparing Two FunctionsWorksheetsQuiz
- 8.F.A.3Linear vs Nonlinear FunctionsWorksheetsQuiz
- 8.F.B.4Building Linear FunctionsWorksheetsQuiz
- 8.F.B.5Sketching and Describing Function GraphsWorksheetsQuiz
- Supporting reviewDomain and Range of a FunctionWorksheetsQuiz
- Supporting reviewArithmetic SequencesWorksheetsQuiz
- Supporting reviewGeometric SequencesWorksheetsQuiz
Geometry
- 8.G.A.1Rotations Reflections and TranslationsWorksheetsQuiz
- 8.G.A.2Congruent FiguresWorksheetsQuiz
- 8.G.A.3Transformations on the Coordinate PlaneWorksheetsQuiz
- 8.G.A.4Similarity and DilationsWorksheetsQuiz
- 8.G.A.5Angles in Triangles and Parallel LinesWorksheetsQuiz
- 8.G.B.6–7The Pythagorean TheoremWorksheetsQuiz
- 8.G.B.8Finding Distance with the Pythagorean TheoremWorksheetsQuiz
- 8.G.C.9Volume of CylindersWorksheetsQuiz
- Supporting reviewAngle RelationshipsWorksheetsQuiz
- Supporting reviewSurface Area of Prisms Cylinders and PyramidsWorksheetsQuiz
- Supporting reviewVolume of PyramidsWorksheetsQuiz
- Supporting reviewComposite Figures Area and PerimeterWorksheetsQuiz
- Supporting reviewInterior Angles of PolygonsWorksheetsQuiz
- Supporting reviewTriangle Inequality TheoremWorksheetsQuiz
- Supporting reviewSurface Area of SpheresWorksheetsQuiz
- Supporting reviewArc Length and Area of SectorsWorksheetsQuiz
- Supporting reviewCross Sections of 3D FiguresWorksheetsQuiz
- 8.G.A.5Parallel Lines and TransversalsWorksheetsQuiz
- AdditionalAdditional Grade 8 worksheets and practiceWorksheetsQuiz
- 8.G.C.9Volume of Cones and SpheresWorksheetsQuiz
Statistics and Probability
- 8.SP.A.1Scatter Plots and Patterns in DataWorksheetsQuiz
- 8.SP.A.2Fitting a Line to DataWorksheetsQuiz
- 8.SP.A.3Using a Linear ModelWorksheetsQuiz
- 8.SP.A.4Two Way Tables for Categorical DataWorksheetsQuiz
- Supporting reviewMean Absolute DeviationWorksheetsQuiz
- Supporting reviewProbability of Simple EventsWorksheetsQuiz
- Supporting reviewCounting Principle and PermutationsWorksheetsQuiz
- Supporting reviewBox Plots and Interquartile RangeWorksheetsQuiz
- Supporting reviewRandom SamplingWorksheetsQuiz
- Supporting reviewEffect of Data Changes on StatisticsWorksheetsQuiz
Financial Literacy
- Supporting reviewSimple InterestWorksheetsQuiz
- Supporting reviewCompound InterestWorksheetsQuiz
- Supporting reviewPercents Tax Discount and MarkupWorksheetsQuiz
- Supporting reviewCost of Credit and LoansWorksheetsQuiz
- Supporting reviewPayment Methods and Financial DecisionsWorksheetsQuiz
- Supporting reviewSaving for CollegeWorksheetsQuiz
Compare Grade 8 math books
Start with a free worksheet for the skill you need. If you prefer lessons and practice in one book, look inside the featured guide before choosing.
Common Core Grade 8 Math Made Ridiculously Simple
A printable PDF guide with short topic lessons, worked examples, practice, and two practice tests with answer explanations. Topics include equations and functions, geometry, and number-system review.
- For students who want explanations before practice
- 134 total PDF pages in the checked download
- Two practice tests with keys and explanations
- Check the sample pages for reading level and layout
Step-by-step lessons
Short explanations show the move before the student practices it.
✍Worked examples
Examples translate Common Core-style wording into clear math steps.
Targeted practice
Rebuild one skill at a time instead of jumping around.
Test-day bridge
After each topic, connect to formulas, flashcards, and practice questions.
How to use it
- Read one lesson and copy the worked example.
- Do a short worksheet set on the same topic.
- Review the matching flashcards or formulas.
- Try a mixed quiz and mark every miss.
Choose the right Common Core Grade 8 math book
Common Core Grade 8 Math Made Ridiculously Simple
Compare the sample with the skills your student needs to review.
The Ultimate Middle School Math Bundle
Compare the included titles and formats before choosing a bundle.
Common Core Math Exercise Book for Grade 8: Student Workbook and Two Realistic Common Core Math Tests
Repeated practice by topic when a student needs more reps.
6 Common Core Grade 8 Math Practice Tests
Use after topic review to build pacing and test stamina.
Grade 8 Math Standards at a Glance
This short guide summarizes the five Common Core domains. Use the official domain links for the exact wording and your state’s current curriculum for local requirements.
Real numbers
Distinguish rational and irrational values. Convert repeating decimals to fractions and estimate irrational values on a number line.
Official 8.NS standardsExponents and linear equations
Use integer exponents, roots and scientific notation. Connect proportional graphs with slope, solve linear equations, and reason about pairs of equations.
Official 8.EE standardsFunctions and models
Connect inputs with outputs using tables, graphs and descriptions. Compare functions and interpret the rate and starting value of a linear model.
Official 8.F standardsTransformations and measurement
Use transformations to explain congruence and similarity. Apply the Pythagorean theorem to lengths and distance, and find volumes of cones, cylinders and spheres.
Official 8.G standardsRelationships in data
Look for patterns between two variables using scatter plots, fitted lines and two-way tables. Interpret a model in the context of its data.
Official 8.SP standardsCommon Core Grade 8 Math FAQ
Is 8th grade math the same as Algebra 1?
Not exactly. Grade 8 math covers linear equations, functions and the Pythagorean theorem, which prepare students for Algebra 1. Some schools let students take Algebra 1 in 8th grade instead. Ask your school which course and test apply to your child.
How does Common Core relate to my child’s Grade 8 test?
Common Core describes learning standards. Your state or school determines the assessment. The lessons and independent practice here support topic review; their settings do not establish official test rules.
Can I use a calculator?
Calculator rules depend on the grade, assessment, test segment, and approved accommodations. Follow the current assessment guidance and ask your school which rules apply. A tool available in independent practice does not establish permission on the official test.
How long is each practice test?
Read the timer and question count shown in the practice activity you open. These are practice settings, not a statement of the official assessment’s duration or scoring.
Is it free?
The linked general practice and topic resources are available separately from optional books. Check each activity’s directions and access requirements. The study guide and bundle are optional next steps.
Grade 8 Math by State
Choose your state to open its skill targets and available practice resources.
Make This Your Common Core Starting Point
Take a timed practice test, find your weakest topic, and study it with the linked lessons, worksheets, and the Common Core study guide.
Start a practice testA USEFUL NEXT STEP
Grade 8 Math: study questions
Which topics belong in Grade 8 math review?
Review real numbers, exponents, linear equations, functions, transformations, the Pythagorean theorem and relationships in data. Additional supporting topics are labeled separately; your classroom curriculum determines local expectations.
Official source ↗Does Common Core determine the Grade 8 test?
Common Core describes learning standards. Your state or school determines the assessment. These independent activities support review; check their directions and your school’s current guidance.
Resources from Effortless Math · Editorial standards