Essential ACT formulas to remember?

Hey everyone, I'm wondering if there are any must-know formulas that I should have memorized for the ACT math section. Any helpful tips for tackling the math problems?

Hey there! It's a good idea to memorize some essential formulas and general math concepts before tackling the ACT math section. Here's a list of some formulas and concepts to have on hand, but this isn't exhaustive:

1. Quadratic formula: Given a quadratic equation in the form ax^2 + bx + c = 0, you can find the solutions using the quadratic formula: x = [-b ± sqrt(b²-4ac)] / 2a

2. Pythagorean theorem: For right-angled triangles, a² + b² = c², where a and b are the lengths of the shorter sides (legs) and c is the length of the hypotenuse (longest side).

3. Laws of exponents: When multiplying or dividing powers with the same base, you can add or subtract the exponents, respectively (for example, x^a x^b = x^(a+b), x^a / x^b = x^(a-b)). Remember that any nonzero number to the power of 0 is 1, and x^1 = x.

4. Distance formula: d = sqrt((x2 - x1)² + (y2 - y1)²), where (x1, y1) and (x2, y2) are coordinates of two points in a plane.

5. Slope-intercept form: y = mx + b, where m is the slope (rise/run) and b is the y-intercept.

6. Area formulas: Memorize formulas to find the area of common geometric shapes, including rectangles (length x width), triangles (1/2 x base x height), and circles (πr²).

7. Volume formulas: Know how to calculate the volume of common 3D shapes, such as prisms (base area x height), cylinders (πr²h), and spheres (4/3πr³).

8. Circle properties: Know the formulas for the circumference of a circle (2πr or πd) and relationships between arc length, radius, and central angles.

To tackle ACT math problems efficiently, consider the following tips:

1. Read carefully: Make sure to read the question carefully to understand what is being asked and to avoid common mistakes.

2. Write down your work: This helps you stay organized and check your calculations when necessary.

3. Be strategic: If a question seems too time-consuming, skip it and come back later; you don't want to miss out on easier points.

4. Eliminate answer choices: For multiple-choice questions, first eliminate choices you know are incorrect, which can help narrow down your possible solutions.

5. Work backwards: If you're stumped, try working backwards from one of the answer choices to determine if it could be the correct response.

6. Practice: Take practice tests or work through ACT math practice problems to familiarize yourself with the types of questions you'll encounter and improve your problem-solving skills. Remember to review your incorrect answers to understand your mistakes and how to avoid them in the future.

Good luck with your ACT prep!