20 free levels
Mathematics · Number Peaks
Algebra Balance
Keep the scale level and the equation true, step by step.
- Grades
- 6–8
- Levels
- 48 in 2 tracks
- Free
- 20 levels
- Session
- 5–15 minutes
What it is
A balance scale holds mystery x-boxes and unit weights. Every move — take 3 off both pans, split both sides into equal groups, multiply both sides — is shown in notation beside the scale, so 2x + 3 = 11 becomes 2x = 8 and then x = 4. Each step is checked to keep the equation balanced, with exact fractions and negative numbers in the later track.
What children learn
Equations as balance: inverse operations applied to both sides, one-step and two-step equations, negative numbers, fractional coefficients and constants, and unknowns on both sides — always linking the physical move to the written line.
What it teaches
- One-step equations
- Variables on both sides
- Two-step equations
- Solve one- and two-step equations
How to play
Drag a weight or x-box off a pan, then do the same on the other pan; or choose an operation (add, subtract, multiply, divide), set the amount and press Apply. Undo takes back a step. Everything works with Tab, Enter and Space.
Plays with: Touch Mouse Keyboard
Accessibility
- Read-aloud on request
- Fully playable with a keyboard
- Calm mode with reduced motion
- No timers or time pressure
- Never relies on color alone
- Quiet mode turns off sound effects
Level maps
Tracks and levels
Each track is made for a grade range. Start anywhere that fits — you don't have to play the younger tracks first. As a guest, your stars are saved on this device.
Balance Basics
Whole-number equations on a real scale: x + b = d, ax = d, ax + b = d and boxes on both sides.
Grade 6
24 levels · 10 free
Balance Basics
Whole-number equations on a real scale: x + b = d, ax = d, ax + b = d and boxes on both sides. · Grade 6
- 1 Level Scales 1 ☆☆☆
- 2 Level Scales 2 ☆☆☆
- 3 Level Scales 3 ☆☆☆
- 4 Level Scales 4 ☆☆☆
- 5 Level Scales 5 ☆☆☆
- 6 Level Scales 6 ☆☆☆
- 7 Equal Groups 1 ☆☆☆
- 8 Equal Groups 2 ☆☆☆
- 9 Equal Groups 3 ☆☆☆
- 10 Equal Groups 4 ☆☆☆
- 11 Equal Groups 5 Plan level
- 12 Equal Groups 6 Plan level
- 13 Two Moves 1 Plan level
- 14 Two Moves 2 Plan level
- 15 Two Moves 3 Plan level
- 16 Two Moves 4 Plan level
- 17 Two Moves 5 Plan level
- 18 Two Moves 6 Plan level
- 19 Boxes Both Sides 1 Plan level
- 20 Boxes Both Sides 2 Plan level
- 21 Boxes Both Sides 3 Plan level
- 22 Boxes Both Sides 4 Plan level
- 23 Boxes Both Sides 5 Plan level
- 24 Boxes Both Sides 6 Plan level
Levels after 10 are part of a PlayOwl plan. Free levels, saving and basic reports stay free.
Equation Engineer
Negative numbers, fractional coefficients and constants, and unknowns on both sides.
7–8
24 levels · 10 free
Equation Engineer
Negative numbers, fractional coefficients and constants, and unknowns on both sides. · 7–8
- 1 Below Zero 1 ☆☆☆
- 2 Below Zero 2 ☆☆☆
- 3 Below Zero 3 ☆☆☆
- 4 Below Zero 4 ☆☆☆
- 5 Below Zero 5 ☆☆☆
- 6 Below Zero 6 ☆☆☆
- 7 Fraction Gears 1 ☆☆☆
- 8 Fraction Gears 2 ☆☆☆
- 9 Fraction Gears 3 ☆☆☆
- 10 Fraction Gears 4 ☆☆☆
- 11 Fraction Gears 5 Plan level
- 12 Fraction Gears 6 Plan level
- 13 Half Measures 1 Plan level
- 14 Half Measures 2 Plan level
- 15 Half Measures 3 Plan level
- 16 Half Measures 4 Plan level
- 17 Half Measures 5 Plan level
- 18 Half Measures 6 Plan level
- 19 Both Sides 1 Plan level
- 20 Both Sides 2 Plan level
- 21 Both Sides 3 Plan level
- 22 Both Sides 4 Plan level
- 23 Both Sides 5 Plan level
- 24 Both Sides 6 Plan level
Levels after 10 are part of a PlayOwl plan. Free levels, saving and basic reports stay free.
Keep exploring
Math games by grade
Math worksheets by grade
More from Number Peaks
Other mathematics games, each with its own free levels.