Grade 6 Expressions Test PDF Sample
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Answer key included
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Assessment balance
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PDF preview
1. Evaluate 3x² + 2 when x = 4.
2. Write an expression for "5 less than twice a number n".
3. Use the distributive property to write an equivalent expression: 6(2y + 3)
Preview shows representative problems from the printable student-facing PDF.
Answer key preview
1. 50
Square first: 4² = 16. Then 3 × 16 = 48, and 48 + 2 = 50.
2. 2n − 5
Twice a number is 2n. Five less than that subtracts 5: 2n − 5.
3. 12y + 18
Multiply each term by 6: 6 × 2y = 12y and 6 × 3 = 18.
Worked answers help teachers verify explanation depth, not just final-answer accuracy.
Skills assessed
- Whole-number exponents (6.EE.1)
- Writing and evaluating expressions (6.EE.2)
- Equivalent expressions and the distributive property (6.EE.3)
- Combining like terms
Difficulty balance
5 easy evaluation and exponent items, 3 medium translation and distributive-property problems, 2 hard equivalent-expression reasoning items
Teacher use case
Useful as a unit test before one-step equations, a diagnostic for students moving into pre-algebra, or a retake paper matched to the original.
Common student mistakes to watch for
- Multiplying before squaring, so 3x² at x = 4 becomes (3 × 4)² = 144
- Writing "5 less than twice a number" as 5 − 2n
- Distributing to the first term only: 6(2y + 3) = 12y + 3
FAQ
Can I print this Grade 6 Expressions sample?
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Does the sample include an answer key?
Yes. Each sample page includes an answer key preview with worked reasoning so teachers can evaluate grading clarity.
Can I generate a harder or easier version?
Yes. You can generate easier, medium, or harder versions and create equivalent forms for retakes.
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