Grade 6 One-step Equations Worksheet Answer Key

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Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Grade 6 Math Worksheet Answer Keys – Mathbot, the Math Made Easy robot coach, with free printable worksheet answer keys for Grade 6

Looking for an one-step equations worksheet answer key? Then this answer key gives every step of the Grade 6 worksheet on Solving One-Step Equations with Inverse Operations. Each solution names the inverse operation and applies it to both sides, then checks by substitution. If your answer differs, compare the operation you chose, since choosing the wrong inverse is the most common slip.

Standards: 6.EE.B.5, 6.EE.B.6, 6.EE.B.7 · Level: Grade 6

Problem 2 Solve an addition equation

Subtract 8 from both sides: x = 21 − 8 = 13. Check: 13 + 8 = 21.

Problem 3 Solve a subtraction equation

Add 5 to both sides: n = 12 + 5 = 17. Check: 17 − 5 = 12.

Problem 4 Solve a multiplication equation

Divide both sides by 6: k = 54 ÷ 6 = 9. Check: 6 × 9 = 54.

Problem 5 Solve a division equation

Multiply both sides by 4: m = 7 × 4 = 28. Check: 28 ÷ 4 = 7.

Problem 6 Variable on the right

The equation reads the same either way. Subtract 9: a = 15 − 9 = 6. Check: 6 + 9 = 15.

Problem 7 Decimal addition

Subtract 3.5: x = 10 − 3.5 = 6.5. Check: 6.5 + 3.5 = 10.

Problem 8 Decimal subtraction

Add 2.25: y = 4 + 2.25 = 6.25. Check: 6.25 − 2.25 = 4.

Problem 9 Decimal coefficient

Divide by 1.5: z = 9 ÷ 1.5 = 6. Check: 1.5 × 6 = 9.

Problem 10 Fraction addition

Subtract 34: x = 2 − 34 = 84 − 34 = 54, or 114. Check: 54 + 34 = 2.

Problem 11 Fraction coefficient

Divide both sides by 35, which means multiply by 53: x = 9 × 53 = 15. Check: 35 × 15 = 9.

Problem 12 Tape diagram: parts and total

The two parts make 32, so x + 11 = 32. Subtract 11: x = 21.

x + 11 = 32, so x = 21.

x = 21.

Problem 13 Tape diagram: equal parts

Five equal parts make 45, so 5x = 45. Divide by 5: x = 9.

5x = 45, so x = 9.

x = 9.

Problem 14 Writing equations

4n = 36, so n = 36 ÷ 4 = 9.
n − 7 = 20, so n = 20 + 7 = 27.

Problem 15 Jersey purchase

He had m dollars, spent 27 and has 13 left, so m − 27 = 13. Add 27: m = 40. $40.

Problem 16 Sticker teams

Each team gets s, so 8s = 72. Divide by 8: s = 9. 9 stickers per team.

Problem 17 Hiking trail

The distance hiked plus the distance remaining is the whole trail: h + 2.9 = 8.4. Subtract 2.9: h = 5.5. 5.5 miles.

Problem 18 Ride tickets

1.25t = 7.50. Divide by 1.25: t = 7.50 ÷ 1.25 = 6. Check: 1.25 × 6 = 7.50. 6 tickets.

Problem 19 Check a solution

Check: 21 + 6 = 27, not 15. Sam added 6 instead of subtracting it. The inverse of adding 6 is subtracting 6: x = 15 − 6. x = 9; check 9 + 6 = 15.

Problem 20 Ribbon for a costume

What he has plus what he needs equals the total: f + 56 = 216 = 136. Subtract: f = 136 − 56 = 86 = 43. 113 yards.

One-step Equations lesson One-step Equations worksheet One-step Equations test One-step Equations quiz

One-step Equations Worksheet Answer Key – Grade 6

Problem 1 Testing values