Linear Equation Practice
Build confidence solving linear equations. Progress from simple one-step equations to complex multi-step problems with variables on both sides.
Grades 7-9Key Stage 3-4Årskurs 7-9
Skills You'll Practice
- Solving one-step equations
- Solving two-step equations
- Solving equations with variables on both sides
- Solving equations with parentheses
- Checking solutions by substitution
- Word problems involving linear equations
One-Step Equations
Easy1
x + 7 = 12
💡 Show Hint
Subtract 7 from both sides
✓ Show Answer
x = 5
2
3x = 21
💡 Show Hint
Divide both sides by 3
✓ Show Answer
x = 7
3
x/4 = 9
💡 Show Hint
Multiply both sides by 4
✓ Show Answer
x = 36
Two-Step Equations
Medium1
2x + 5 = 17
💡 Show Hint
Subtract 5 first, then divide by 2
✓ Show Answer
x = 6
2
(x - 3)/2 = 7
💡 Show Hint
Multiply by 2 first, then add 3
✓ Show Answer
x = 17
3
-4x + 9 = -15
💡 Show Hint
Subtract 9, then divide by -4
✓ Show Answer
x = 6
Variables on Both Sides
Hard1
5x + 3 = 2x + 18
💡 Show Hint
Move x terms to one side: 3x + 3 = 18
✓ Show Answer
x = 5
2
3(x + 4) = 2(x + 7)
💡 Show Hint
Distribute first: 3x + 12 = 2x + 14
✓ Show Answer
x = 2
3
2(3x - 1) - 4 = 4(x + 2)
💡 Show Hint
Distribute: 6x - 2 - 4 = 4x + 8 → 6x - 6 = 4x + 8
✓ Show Answer
x = 7
Pro Tips
- 💡Whatever you do to one side of the equation, do to the other side
- 💡Undo operations in reverse order (PEMDAS backwards)
- 💡Get all variable terms on one side, constants on the other
- 💡Always check your answer by substituting back into the original equation
Curriculum Alignment
CommonCore (7.EE.B.4a)CommonCore (8.EE.C.7)
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