← Back to the One-step Equations test
Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Standards: 6.EE.B.5, 6.EE.B.6, 6.EE.B.7 · Level: Grade 6
Question 1 Testing solutions (2 points)
(a) 9 + 6 = 15, so yes.
(b) 3 × 9 = 27, not 18, so no.
Scoring: 1 point per part (substitution shown).
Question 2 Whole-number equations (2 points)
(a) Add 8: x = 22.
(b) Divide by 7: p = 9.
Scoring: 1 point per part.
Question 3 Division and decimals (2 points)
(a) Multiply by 6: y = 30.
(b) Subtract 4.2: z = 4.8.
Scoring: 1 point per part.
Question 4 Fractions and decimals (2 points)
(a) x = 1 − 25 = 55 − 25 = 35.
(b) m = 6 ÷ 0.4 = 15.
Scoring: 1 point per part.
Question 5 Tape diagram (3 points)
(a) 8x = 56.
(b) Divide by 8: x = 7.
(c) 8 × 7 = 56, which matches.
Scoring: 1 point per part.
Question 6 Backpack purchase (3 points)
(a) m − 19 = 23.
(b) Add 19: m = 42.
(c) $42 − $19 = $23, which matches the story.
Scoring: 1 point per part.
Question 7 Find the error (2 points)
(a) The variable is divided by 5, so the inverse is multiplying by 5. Elena divided instead.
(b) n = 8 × 5 = 40; check 40 ÷ 5 = 8.
Scoring: 1 point per part.
Question 8 Pretzel stand (2 points)
(a) 5p = 12.50.
(b) p = 12.50 ÷ 5 = $2.50.
Scoring: 1 point per part.
Question 9 Writing and solving (2 points)
n + 12.5 = 30, so n = 30 − 12.5 = 17.5.
Scoring: 1 point for the equation, 1 point for 17.5.