8th grade math

Eighth grade is the bridge to high school algebra. Students solve linear equations and systems, meet functions and slope, learn the exponent rules and scientific notation, and use the Pythagorean theorem. This page sets out every skill in order, what mastery looks like, signs a child needs help, and free 8th grade math worksheets, lessons and practice.

Make an 8th grade practice test Jump to worksheets

What 8th graders learn in math

The Common Core spends most of grade 8 on three big ideas: linear equations (solving them and systems of two), functions (a rule that turns each input into one output, often drawn as a straight line), and geometry with the Pythagorean theorem and transformations. Around those sit exponents, scientific notation and irrational numbers.

Almost everything builds on grade 6 and 7 skills: negative numbers, fractions, ratios and one- and two-step equations. If grade 8 feels hard, those are usually where the gap is.

8th grade math skills, in order

The number system

Rational and irrational numbers. Knowing that √2 and π can’t be written as fractions, and estimating them: √50 is a little more than 7.

Expressions and equations

The exponent rules, including zero and negative exponents. Square and cube roots. Scientific notation for very large and small numbers. Solving linear equations with variables on both sides, and systems of two equations by graphing and by substitution. Slope as a rate of change.

Functions

What a function is, comparing functions shown as tables, graphs and equations, and linear functions written as y = mx + b. Reading slope and the y-intercept from a real situation, such as a phone plan with a monthly fee and a cost per gigabyte.

Geometry

Translations, rotations, reflections and dilations. Angle facts for parallel lines and triangles. The Pythagorean theorem, including distance on the coordinate plane. Volume of cylinders, cones and spheres.

Statistics and probability

Scatter plots, lines of best fit and two-way tables: spotting a pattern in data and using a line to predict.

What mastery looks like by the end of the year

Solves an equation like 5x − 3 = 2x + 9 and checks the answer by substituting it back.
Looks at a straight-line graph or a table and gives the slope and what it means.
Writes 0.00042 as 4.2 × 10⁻⁴ and back again.
Finds a missing side of a right triangle and knows when the Pythagorean theorem applies.
Explains why 2³ × 2⁴ = 2⁷ rather than just remembering “add the exponents”.

Signs your child needs extra help

Negative numbers still cause errors, such as −3 − 5 = 2 or −2 × −4 = −8.
Fractions in an equation lead to guessing or skipping.
Your child can do the steps shown in class but can’t say why, and falls apart when a problem looks different.
Slope is memorized as a formula but means nothing in a word problem.
Basic multiplication facts are slow, so every multi-step problem takes too long.

For any of these, a short check on the skill underneath helps more than more grade 8 problems. The grades 6–8 mixed review is a quick way to find the gap.

Try an 8th grade math problem

Tap a question to see the answer and the reasoning.

Solve 3x + 7 = 22.

x = 5. Take 7 from both sides (3x = 15), then divide by 3.

What is the slope of the line through (1, 2) and (3, 8)?

3. Rise over run: (8 − 2) ÷ (3 − 1) = 6 ÷ 2.

A right triangle has legs of 6 cm and 8 cm. How long is the hypotenuse?

10 cm. 6² + 8² = 36 + 64 = 100, and √100 = 10.

Write 4,500,000 in scientific notation.

4.5 × 10⁶. Move the decimal point 6 places left.

Simplify 2³ × 2⁵.

2⁸ = 256. Same base, so add the exponents.

Is √50 rational or irrational? Between which two whole numbers?

Irrational, between 7 and 8, because 7² = 49 and 8² = 64.

8th grade math worksheets

Free printable PDFs, each with an answer key. Tap a sheet to download it, or make a new version in the test maker.

Equations, expressions and exponents

Functions and slope

Geometry

Numbers, word problems and review

Also useful: solving equations worksheet (one- and two-step) and adding and subtracting integers for review.

8th grade math lessons and charts

How to help with 8th grade math at home

Let your teen be the teacher

Ask them to explain how they solved a problem. Explaining it out loud shows straight away whether they understand it or are following steps.

Check by substituting

Every equation can be checked: put the answer back in and see if both sides match. It is a habit that catches most mistakes and builds confidence.

Find slope in real life

Ramps, roads, a phone plan, a taxi fare with a starting fee: each is a straight line with a slope and a starting value. Talking about them makes y = mx + b mean something.

Keep a formula page

One page with the exponent rules, the Pythagorean theorem and the volume formulas, written by your teen in their own words, is better than any printed sheet.

Short and regular

Twenty minutes most days beats a long session before a test. Use the test maker to build a short mixed quiz every weekend.

See also 7th grade math for the skills that lead into this year.

Last reviewed October 3, 2026

Questions parents ask

What math do 8th graders learn?

Linear equations and functions, slope, systems of two equations, exponent rules and scientific notation, irrational numbers, the Pythagorean theorem, transformations, and the volume of cylinders, cones and spheres.

Is 8th grade math the same as Algebra 1?

Not quite. Common Core grade 8 math covers linear equations, functions and systems, which is much of the start of Algebra 1. Many schools also offer a full Algebra 1 course in 8th grade for students who are ready.

What is the hardest part of 8th grade math?

For most students it is functions and slope, because they are new ways of thinking, and systems of equations, which combine several skills at once. Weak fractions and negative numbers from grades 6 and 7 make all of it harder.

How can I help my 8th grader with math if I don’t remember it?

Ask your teen to teach you the method, check answers by putting them back into the equation, and use the worked examples and answer keys here. You don’t need to know the method to ask “how do you know that’s right?”

My child is behind in 8th grade math. Where should we start?

Usually with grade 6 and 7 skills: negative numbers, fractions, and one- and two-step equations. Fixing those first makes grade 8 topics much easier. The worksheets below include grade 6 to 8 review sets.

Is the Pythagorean theorem taught in 8th grade?

Yes. Common Core 8.G.B covers explaining the Pythagorean theorem, using it to find missing sides, and using it to find distances on the coordinate plane.