Sample result
One explained quantitative comparison
Given x > 0, compare Quantity A: (x + 3)² and Quantity B: x² + 9.
Step by step
- Expand Quantity A: (x + 3)² = x² + 6x + 9.
- Subtract what both quantities share, x² + 9. You are left comparing 6x with 0.
- Because x > 0, 6x is positive. Quantity A is greater.
- The trap: (x + 3)² is not x² + 9. Squaring a sum always adds the middle term, 2·x·3.
Six-week outline
| Weeks | Quant | Verbal | Writing |
|---|---|---|---|
| 1–2 | Algebra and exponents | Text completion strategy; 15 new words a day | One Issue essay, with feedback |
| 3–4 | Data interpretation and statistics | Reading comprehension; spaced review | One Issue essay, with feedback |
| 5–6 | Mixed timed sections | Sentence equivalence; timed sections | One timed essay; full practice test |