6th Grade Solving One-Step Equations Test Solutions and Scoring (PDF)

6th Grade math test solutions: Solving One-Step Equations – Maths PDF

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This one step equations test answers for 6th Grade covers solving one-step equations (Common Core 6.EE.B.5, 6.EE.B.6, 6.EE.B.7), with a free PDF to print.

Use this key to score the one-step equations test out of 20 points. Each solution is fully worked, and the scoring line explains how to award each point and partial credit for correct steps.

Grade 6 · Common Core State Standards: 6.EE.B.5, 6.EE.B.6, 6.EE.B.7

One step equations test answers: worked solutions

Question 1 – Solution check [2 pts]

(a) $7 + 5 = 12$: yes.

(b) $2 \cdot 6 = 12$, not 14: no.

Scoring: 1 point for each part with substitution shown.

Question 2 – Solve [2 pts]

(a) $x = 21 – 8 = 13$.

(b) $x = 12 + 5 = 17$.

Scoring: 1 point for each solution.

Question 3 – Solve products and quotients [2 pts]

(a) $x = 54 \div 6 = 9$.

(b) $x = 9 \cdot 4 = 36$.

Scoring: 1 point for each solution.

Question 4 – Rational numbers [2 pts]

(a) $x = 7.1 – 2.4 = 4.7$.

(b) $x = 6 \cdot \frac{4}{3} = 8$.

Scoring: 1 point for each solution.

Question 5 – Tape diagram [2 pts]

$x + 14 = 40$, so $x = 40 – 14 = 26$.

x = 26.

Scoring: 1 point for the equation; 1 point for 26.

Question 6 – Balance [2 pts]

$3n = 27$, so $n = 27 \div 3 = 9$.

Check: both sides are 27.

Scoring: 1 point for the equation; 1 point for 9.

Question 7 – Write and solve [2 pts]

$m + 15 = 50$.

$m = 50 – 15 = 35$.

Scoring: 1 point for the equation; 1 point for 35 minutes.

Question 8 – Pizza party [3 pts]

$7p = 84$, so $p = 84 \div 7 = 12$.

10 pizzas: $10 \cdot 12 = 120$.

Each of 7 equal parts is $12.

Scoring: 1 point for the equation; 1 point for $12; 1 point for $120.

Question 9 – Two-part problem [3 pts]

$b + 3 = 11$, so $b = 8$.

4 books: $4 \cdot 8 = 32$.

Scoring: 1 point for the equation; 1 point for $8; 1 point for $32.

Total score

Total

20 points

Key facts behind this one step equations test answers

Key facts

A solution makes an equation true; check by substituting.
Do the same operation to both sides to keep the equation balanced.
Use the inverse operation: add and subtract, multiply and divide.
Tape diagrams show addition and multiplication equations.
Write an equation from a story by naming the unknown with a variable.

How to use this one step equations test answers

Score your test with the point values shown for each question. Then read the worked solution of every question where you lost points and note the method to review.

All Grade 6 chapters: Grade 6 math.

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