I'm currently studying for the ACT and I've been wondering—do we get a formula sheet, especially for the math section, during the actual test? If not, which essential formulas should I prioritize memorizing?
Unfortunately, you do not get a formula sheet for the ACT, so you'll need to memorize the essential formulas for the Math section. Here's a list of some key formulas to prioritize:
1. Quadratic Formula: x = (-b ± √(b² - 4ac)) / 2a
2. Pythagorean Theorem: a² + b² = c²
3. Slope-Intercept Form (for lines): y = mx + b
4. Distance Formula: d = √((x₂ - x₁)² + (y₂ - y₁)²)
5. Point-Slope Form (for lines): y - y₁ = m(x - x₁)
6. Midpoint Formula: ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
7. Area of a Triangle: A = (1/2)bh
8. Trigonometric Ratios (SOH-CAH-TOA):
- Sine (sin): sin(θ) = opposite / hypotenuse
- Cosine (cos): cos(θ) = adjacent / hypotenuse
- Tangent (tan): tan(θ) = opposite / adjacent
9. Circle Equations:
- Standard form: (x - h)² + (y - k)² = r²
- Area: A = πr²
- Circumference: C = 2πr
10. Volume Formulas:
- Rectangular prism: V = lwh
- Cylinder: V = πr²h
- Sphere: V = (4/3)πr³
- Pyramid: V = (1/3)Bh
These formulas should cover a majority of the topics you'll encounter on the ACT Math section. While memorizing these formulas is critical, it's equally important to understand how to apply them to different types of problems. Practicing problems that utilize these formulas will be very helpful in solidifying your understanding.
Good luck with your ACT preparation!
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