Grade 7 Expressions Test PDF Sample
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Answer key included
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PDF preview
1. Simplify: 3(2x + 5) - 4x
2. Solve: 2x + 7 = 19
3. A number tripled and decreased by 4 equals 17. Find the number.
Preview shows representative problems from the printable student-facing PDF.
Answer key preview
1. 2x + 15
Distribute: 6x + 15 - 4x = 2x + 15
2. x = 6
2x = 12, then divide by 2
3. 7
3n - 4 = 17, so 3n = 21, n = 7
Worked answers help teachers verify explanation depth, not just final-answer accuracy.
Skills assessed
- Combining like terms
- Distributive property
- Two-step equations
- Translating verbal expressions
Difficulty balance
5 easy fluency items, 3 medium two-step problems, 2 hard multi-step word problems
Teacher use case
Strong fit for a chapter check on expressions, a back-to-school diagnostic, or a quick before-and-after assessment around the equations unit.
Common student mistakes to watch for
- Forgetting to distribute the sign in front of a parenthesis
- Combining unlike terms
- Adding when isolating the variable instead of subtracting
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