8th Grade Math

Linear equations, functions, exponents, Pythagorean theorem, transformations

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8th Grade Mixed Review

A spiral-review worksheet mixing problems from every 8th Grade topic โ€” free to print, with answer key.

Linear Equations

Multi-step equations and intro to systems

5 lessons with worksheetsStart Learning

Irrational Numbers

Approximate and compare irrational numbers

5 lessons with worksheetsStart Learning

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 โˆ’ 11 = โˆ’51 โˆ’ 5x

  1. Add 5x to both sides: 10x โˆ’ 11 = โˆ’51.
  2. Add 11 to both sides: 10x = โˆ’51 + 11 = โˆ’40.
  3. Divide both sides by 10: x = โˆ’40 รท 10 = โˆ’4.
  4. Check: 5 ร— (โˆ’4) โˆ’ 11 = โˆ’31 and โˆ’51 โˆ’ 5 ร— (โˆ’4) = โˆ’31 โœ“ So x = โˆ’4.

Answer: โˆ’4

All 8th Grade linear equations lessons

Exponents

Use the power rule to find the value of (4ยฒ)ยฒ.

  1. Power of a power: multiply the exponents. (4ยฒ)ยฒ = 4โด (2 ร— 2 = 4).
  2. 4โด = 4 ร— 4 ร— 4 ร— 4 = 256.

Answer: 256

All 8th Grade exponents lessons

Volume

A sphere has a radius of 8 cm. What is its volume in cubic centimeters? Use ฯ€ โ‰ˆ 3.14. Round to the nearest hundredth.

  1. Volume of a sphere = โดโ„โ‚ƒ ร— ฯ€ ร— rยณ, with ฯ€ โ‰ˆ 3.14.
  2. rยณ = 8 ร— 8 ร— 8 = 512.
  3. 3.14 ร— 512 = 1607.68, and 4 ร— 1607.68 = 6430.72.
  4. 6430.72 รท 3 = 2143.5733โ€ฆ, which rounds to 2143.57. The volume is 2143.57 cubic centimeters.

Answer: 2143.57

All 8th Grade volume lessons

Irrational Numbers

Which number is the greatest? Choices: โˆš27 ยท โˆš30 ยท โˆš34 ยท 4.2

  1. Write each number as a decimal so they are easy to compare: โˆš27 โ‰ˆ 5.20, โˆš30 โ‰ˆ 5.48, โˆš34 โ‰ˆ 5.83, 4.2.
  2. From least to greatest: 4.2 < โˆš27 < โˆš30 < โˆš34.
  3. The greatest is โˆš34.

Answer: โˆš34

All 8th Grade irrational numbers lessons

A 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.

  1. Monday
    Multi-Step Equations 1 ยท Linear Equations ยท 10 problems

    Starts Linear Equations at its first new lesson, Multi-Step Equations.

  2. Tuesday
    Variables Both Sides 1 ยท Linear Equations ยท 10 problems

    Builds on Multi-Step Equations with the next new lesson, Variables on Both Sides.

  3. Wednesday
    Input-Output Tables 1 ยท Functions ยท 10 problems

    Starts Functions at its first new lesson, Input-Output Tables.

  4. Thursday
    Linear Functions 1 ยท Functions ยท 10 problems

    Builds on Input-Output Tables with the next new lesson, Linear Functions.

  5. Friday
    8th 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.