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Duke University

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UCLA

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Unweighted GPA:** 3.7**

1.0

4.0

SAT: **720 math**

200

800

| **800 verbal**

200

800

Low accuracy (4 of 18 factors)

Hey everyone! I'm preparing for the ACT, and I was wondering, what are some essential formulas or concepts I should keep in mind while studying? Are there any useful math tips or tricks anyone could share with me?

5 months ago

Hello! As you study for the ACT, here's a list of essential formulas and concepts you should keep in mind for the Math section:

1. Arithmetic and Geometric Sequences

- Arithmetic: a*n = a*1 + (n-1)d

- Geometric: a*n = a*1 * r^(n-1)*

*2. Quadratic formula: x = (-b ± sqrt(b^2 - 4ac)) / 2a*

*3. Distance formula: √((x2-x1)^2 + (y2-y1)^2)*

*4. Midpoint formula: ((x1+x2)/2, (y1+y2)/2)*

*5. Slope-intercept form: y = mx+b*

*6. Point-slope form: y-y1 = m(x-x1)*

*7. Pythagorean theorem: a^2 + b^2 = c^2*

*8. Trigonometry ratios (SOH-CAH-TOA):*

*- sine = opposite/hypotenuse,*

*- cosine = adjacent/hypotenuse,*

*- tangent = opposite/adjacent*

*9. Area formulas:*

*- Rectangle: A = l*w,

- Triangle: A = (1/2)*b*h,

- Circle: A = π*r^2*

*10. Volume formulas:*

*- Rectangular prism: V = l*w*h,*

*- Cylinder: V = π*r^2*h,*

*- Sphere: V = (4/3)π*r^3

11. Circle properties:

- Circumference: C = 2πr,

- Arc length: L = (n°/360°) * 2πr*

*12. Simple and compound interest:*

*- Simple: A = P(1 + rt)*

*- Compound: A = P(1 + r/n)^(nt)*

*For useful math tips or tricks, I recommend:*

*1. When you're stuck, try plugging in answer choices or numbers you generate yourself to test the options.*

*2. Familiarize yourself with the calculator you'll use on test day. Knowing how to use the functions efficiently will save time.*

*3. Along with studying, practice time management on official ACT practice tests. This will help you gauge how much time you can spend per question.*

*4. For geometry problems, draw a diagram and label the given information.*

*5. Break down word problems step-by-step and underline essential information.*

*Best of luck in your ACT prep!*

5 months ago

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