Study guide · Make-up prep
Algebra 2 / Trig · quiz skills
General practice for the sections where quizzes have been weakest, plus the 5.1–5.3 / 5.6 quiz (Thu Nov 19) and Ch. 5 test (Thu Dec 3). Times are Pacific.
General review — topic titles are not in Schoology. The course lists section numbers only (2.1–2.5, 3.5–3.7, 4.4–4.9, and 5.1–5.3 / 5.6). These are standard Algebra 2 skills, not a claim about what any one section is named.
📅 What to practice, by section number
- 2.1–2.5, 3.5–3.7, 4.4–4.9 — earlier quiz skills to keep warm (those quizzes were the weak spots).
- 5.1–5.3 and 5.6 — quiz on the calendar Nov 19–20 (during the trip). 5.1 / 5.2 Practice is also due Tue Nov 17, 8:30 AM PT.
- Ch. 5 Test — calendar Dec 3–4, the day after the trip ends.
➗ Simplifying radicals
Factor out a perfect square: √(a² · b) = a√b.
√50 = √(25 × 2) = √25 × √2 = 5√2
√72 = √(36 × 2) = 6√2
🧩 Factoring — difference of squares
a² − b² = (a − b)(a + b).
x² − 9 = x² − 3² = (x − 3)(x + 3)
x² − 16 = (x − 4)(x + 4)
📏 Exponent rules (quick)
- xᵃ · xᵇ = xᵃ⁺ᵇ
- xᵃ / xᵇ = xᵃ⁻ᵇ
- (xᵃ)ᵇ = xᵃᵇ
- x⁰ = 1 (x ≠ 0) · x⁻ⁿ = 1/xⁿ
(x³)(x⁵) = x⁸
(x²)³ = x⁶