8th Grade Math
Linear equations, functions, exponents, Pythagorean theorem, transformations
Not sure 8th Grade is the right level? Take the free 2-minute placement quiz to find where your child should start.
A spiral-review worksheet mixing problems from every 8th Grade topic โ free to print, with answer key.
What 8th Grade math looks like, solved step by step
Real 8th Grade problems, one per topic, from linear equations to irrational numbers โ the same explanations your child sees when practicing online.
Linear Equations
Solve: 5x โ 11 = โ51 โ 5x
- Add 5x to both sides: 10x โ 11 = โ51.
- Add 11 to both sides: 10x = โ51 + 11 = โ40.
- Divide both sides by 10: x = โ40 รท 10 = โ4.
- Check: 5 ร (โ4) โ 11 = โ31 and โ51 โ 5 ร (โ4) = โ31 โ So x = โ4.
Answer: โ4
All 8th Grade linear equations lessonsExponents
Use the power rule to find the value of (4ยฒ)ยฒ.
- Power of a power: multiply the exponents. (4ยฒ)ยฒ = 4โด (2 ร 2 = 4).
- 4โด = 4 ร 4 ร 4 ร 4 = 256.
Answer: 256
All 8th Grade exponents lessonsVolume
A sphere has a radius of 8 cm. What is its volume in cubic centimeters? Use ฯ โ 3.14. Round to the nearest hundredth.
- Volume of a sphere = โดโโ ร ฯ ร rยณ, with ฯ โ 3.14.
- rยณ = 8 ร 8 ร 8 = 512.
- 3.14 ร 512 = 1607.68, and 4 ร 1607.68 = 6430.72.
- 6430.72 รท 3 = 2143.5733โฆ, which rounds to 2143.57. The volume is 2143.57 cubic centimeters.
Answer: 2143.57
All 8th Grade volume lessonsIrrational Numbers
Which number is the greatest? Choices: โ27 ยท โ30 ยท โ34 ยท 4.2
- Write each number as a decimal so they are easy to compare: โ27 โ 5.20, โ30 โ 5.48, โ34 โ 5.83, 4.2.
- From least to greatest: 4.2 < โ27 < โ30 < โ34.
- The greatest is โ34.
Answer: โ34
All 8th Grade irrational numbers lessonsA sample week of 8th Grade practice
One way to spend five short sessions: the first two new lessons of Linear Equations and Functions, one printable worksheet a day, then a mixed review. For a signed-in child, Today's Math picks each day's problems instead: due reviews first, then the next skill at their working level.
- MondayMulti-Step Equations 1 ยท Linear Equations ยท 10 problems
Starts Linear Equations at its first new lesson, Multi-Step Equations.
- TuesdayVariables Both Sides 1 ยท Linear Equations ยท 10 problems
Builds on Multi-Step Equations with the next new lesson, Variables on Both Sides.
- WednesdayInput-Output Tables 1 ยท Functions ยท 10 problems
Starts Functions at its first new lesson, Input-Output Tables.
- ThursdayLinear Functions 1 ยท Functions ยท 10 problems
Builds on Input-Output Tables with the next new lesson, Linear Functions.
- Friday8th Grade Mixed Review ยท Mixed review
One sheet drawing problems from across 8th Grade topics, so a week of Linear Equations and Functions ends on mixed recall rather than the last thing practiced.
Frequently Asked Questions
- What math topics are covered in Grade 8?
- Grade 8 covers Linear Equations, Functions, Exponents, Radicals, Geometry, Volume, Scatter Plots, Irrational Numbers. Each topic includes multiple progressive worksheets with increasing difficulty.
- Are Grade 8 math worksheets aligned to Common Core?
- Yes, all worksheets align with Common Core State Standards for Grade 8 mathematics, ensuring your child builds skills in the right sequence.
- Are the Grade 8 worksheets free?
- Yes, all printable worksheets are free to download and print. Answer keys and detailed progress reports require a premium subscription.