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

Easy

x + 7 = 12

💡 Show Hint

Subtract 7 from both sides

✓ Show Answer

x = 5

3x = 21

💡 Show Hint

Divide both sides by 3

✓ Show Answer

x = 7

x/4 = 9

💡 Show Hint

Multiply both sides by 4

✓ Show Answer

x = 36

Two-Step Equations

Medium

2x + 5 = 17

💡 Show Hint

Subtract 5 first, then divide by 2

✓ Show Answer

x = 6

(x - 3)/2 = 7

💡 Show Hint

Multiply by 2 first, then add 3

✓ Show Answer

x = 17

-4x + 9 = -15

💡 Show Hint

Subtract 9, then divide by -4

✓ Show Answer

x = 6

Variables on Both Sides

Hard

5x + 3 = 2x + 18

💡 Show Hint

Move x terms to one side: 3x + 3 = 18

✓ Show Answer

x = 5

3(x + 4) = 2(x + 7)

💡 Show Hint

Distribute first: 3x + 12 = 2x + 14

✓ Show Answer

x = 2

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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