Grade 8 Linear Equations Test PDF Sample
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Answer key included
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Assessment balance
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PDF preview
1. Solve: 5x - 8 = 3x + 12
2. Write y = 2x + 3 in standard form.
3. A taxi charges $3 plus $2 per mile. Total cost is $17. How many miles?
Preview shows representative problems from the printable student-facing PDF.
Answer key preview
1. x = 10
2x = 20, divide by 2
2. -2x + y = 3 (or 2x - y = -3)
Move 2x to the left side
3. 7 miles
3 + 2m = 17, so 2m = 14, m = 7
Worked answers help teachers verify explanation depth, not just final-answer accuracy.
Skills assessed
- Solving linear equations
- Equations with variables on both sides
- Slope-intercept form
- Word problems
Difficulty balance
5 easy single-step, 3 medium two-step or both-sides, 2 hard contextual problems
Teacher use case
Good for an end-of-unit assessment, a make-up paper with the same difficulty as the original, or a pre-algebra readiness check before Algebra 1.
Common student mistakes to watch for
- Forgetting to apply operations to both sides
- Sign errors when moving terms across the equals sign
- Confusing slope with y-intercept
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