8th Grade Math Worksheets, Lessons and Tests (Free PDF)
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 worksheet problems with solutions, a timed test with its answer key and an online quiz, all with a free PDF.
Key takeaway: 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
What students learn in 8th grade math
Eighth grade prepares students for Algebra 1. They study linear equations in depth, including equations with variables on both sides and systems of two equations.
They also define functions, compare linear and nonlinear relationships, and work with exponents, scientific notation and square roots. In geometry, they use transformations, the Pythagorean theorem and volumes of cylinders, cones and spheres.
- The number system: irrational numbers and rational approximations.
- Expressions and equations: integer exponents, scientific notation, slope, linear equations, and systems.
- Functions: defining, comparing and modeling relationships with linear functions.
- Geometry and statistics: transformations, congruence, similarity, the Pythagorean theorem, volume, and scatter plots.
A year plan with these grade 8 math worksheets
Begin with exponents and scientific notation, then spend a long block on linear equations and slope. Next, introduce functions and systems of equations. After that, geometry with transformations and the Pythagorean theorem gives a change of pace. Finally, scatter plots end the year.
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 worksheet problem 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.
Is 8th grade math the same as Algebra 1?
No. Eighth grade math covers linear equations, functions and systems at an introductory level, plus geometry. Algebra 1 goes further with quadratics, exponential functions and polynomials.
How do you solve a system of two linear equations?
Use substitution, elimination or graphing. For example, with y = 2x and x + y = 9, substitute to get 3x = 9, so x = 3 and y = 6. Then, check both equations.