8th Grade Math Worksheets, Lessons and Tests (Free PDF)

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These grade 8 math worksheets follow the Common Core State Standards chapter by chapter: each chapter has a lesson, a worksheet of at least 20 exercises with solutions, a timed test with its answer key and an online quiz, all with a free PDF.

Grade 8 math worksheets – Maths PDF

8th grade math covers irrational numbers, integer exponents and scientific notation, linear equations and systems of two equations, functions and linear models, transformations, congruence and similarity, the Pythagorean Theorem, volumes of cylinders, cones and spheres, and scatter plots.

Grade 8 math worksheets: all chapters

1. Rational and Irrational Numbers

Understand a rational number · Turn a repeating decimal into a fraction · Estimate an irrational number · Compare and order real numbers

2. Properties of Integer Exponents

Understand an exponent · Simplify an expression with exponents

3. Square Roots and Cube Roots

Understand square roots and cube roots · Solve x squared equals p

4. Scientific Notation

Understand scientific notation · Convert to and from scientific notation · Compare very large and very small numbers · Calculate with scientific notation

5. Proportional Relationships and Slope

Understand a proportional relationship · Understand slope · Compare two proportional relationships

6. Slope and Similar Triangles

Read slope and intercept from an equation · Write the equation of a line

7. Solving Linear Equations in One Variable

Understand a linear equation in one variable · Solve a multi-step equation

8. Systems of Linear Equations

Understand a system of linear equations · Solve by substitution · Solve by elimination

9. Understanding Functions

Understand a function · Tell if a relation is a function · Tell linear functions from nonlinear ones · Compare two functions

10. Linear Functions as Models

Understand rate of change and initial value · Build a function from data · Describe a graph in words

11. Translations, Reflections and Rotations

Understand a rigid transformation · Translate a figure · Reflect and rotate

12. Dilations and Similar Figures

Understand a dilation · Understand similar figures · Use similar figures to find a missing length

13. Angles in Triangles and Parallel Lines

The interior angles of a triangle add up to 180 degrees, and an exterior angle equals the sum of the two remote interior angles.

14. The Pythagorean Theorem

Understand the Pythagorean theorem · Find a missing side · Use the theorem in real problems

15. Distance on the Coordinate Plane

Find the distance between two points · Find the perimeter of a figure

16. Volume of Cylinders, Cones and Spheres

Understand the volume formulas · Find a volume · Work backwards

17. Scatter Plots and Association

Understand a scatter plot · Describe association · Fit a straight line

18. Using Linear Models to Predict

Interpret a linear model · Build the equation from the graph · Use the model to predict

19. Two-Way Tables and Relative Frequency

Understand a two-way table · Find relative frequencies · Understand association in a two-way table

How to use these grade 8 math worksheets

Pick a chapter, read its one-page lesson, then solve the worksheet on paper and check every answer with the solutions page. Take the ten-question quiz to see what is still unclear, and finish with the timed test. Every page can be printed from its PDF button, and the quick practice at the bottom of each page gives ten new questions at every visit.

8th Grade math: common questions

What is taught in 8th grade math?

The core of 8th grade math is linear relationships: slope, solving linear equations and systems, and functions, together with the Pythagorean Theorem, transformations and bivariate data.

Is 8th grade math the same as Algebra 1?

No. 8th grade math prepares Algebra 1: it introduces functions and systems of equations, while Algebra 1 adds quadratics, exponential functions and polynomials.

Are the solutions step by step?

Yes. Each worksheet exercise and each test question has a worked solution showing every step and the final answer in bold.

Which standards are covered?

All Common Core grade 8 standards: The Number System, Expressions and Equations, Functions, Geometry, and Statistics and Probability.

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