Introduction
As you prepare for the SAT, you’ve likely realized that the math section can be particularly challenging. With a wide range of topics covered and limited time to solve complex problems, having a comprehensive and well-organized SAT math formula sheet at your fingertips can be a game-changer.
In this blog post, we’ll provide you with the ultimate SAT math formula sheet for 2024, explaining why it’s crucial and how it can significantly boost your score.
The SAT math section tests your problem-solving skills across various mathematical concepts, from basic algebra to advanced geometry and trigonometry. While understanding these concepts is vital, quick recall of essential formulas can save you precious time during the exam. A well-crafted formula sheet serves as your mathematical Swiss Army knife, equipping you with the tools to tackle any problem that comes your way.
By mastering the formulas in this guide, you’ll be able to:
- Solve problems more quickly and accurately
- Reduce stress and anxiety during the exam
- Improve your overall performance on the SAT math section
Let’s dive into the essential formulas you need to know, organized by topic, to ace the SAT math section in 2024.
Algebra Formulas to Know for SAT Math formula sheet
Algebra is a big part of the SAT math test. Your formula sheet should have these algebra formulas:
Linear Equations
- Slope-intercept form: y = mx + b
- m is the slope (how steep the line is)
- b is where the line crosses the y-axis
- Point-slope form: y – y1 = m(x – x1)
- (x1, y1) is a point on the line
- m is the slope
These formulas help you draw lines and find where they meet.
Quadratic Equations
Your formula sheet needs these quadratic formulas:
- Quadratic formula: x = [-b ± √(b² – 4ac)] / 2a
- Use this when you can’t factor the equation easily
- Factoring: ax² + bx + c = a(x – r₁)(x – r₂)
- This is useful when you can factor the equation
- Completing the square: ax² + bx = a(x + b/2a)² – b²/4a
- This helps you rewrite quadratic equations
Inequalities
For inequalities, remember these rules on your SAT math formula sheet:
- Solve them like normal equations, but…
- When you multiply or divide by a negative number, flip the sign (< becomes >, and > becomes <)
Geometry Formulas for SAT Math formula sheet
Geometry is another important part of the SAT math test. Your formula sheet should have these geometry formulas:
Area and Perimeter
- Rectangle:
- Area = length × width
- Perimeter = 2 × (length + width)
- Triangle:
- Area = ½ × base × height
- Perimeter = side1 + side2 + side3
- Circle:
- Area = πr²
- Circumference = 2πr
Volume and Surface Area
Include these 3D shape formulas on your formula sheet:
- Cylinder:
- Volume = πr²h
- Surface Area = 2πr² + 2πrh
- Cone:
- Volume = ⅓πr²h
- Surface Area = πr² + πrs (s is the slant height)
- Sphere:
- Volume = ⅔πr³
- Surface Area = 4πr²
Pythagorean Theorem
This is a must-have on your SAT math formula sheet:
a² + b² = c²
c is the longest side of a right triangle. a and b are the other two sides.
Special Right Triangles
Your formula sheet should have these special triangles:
- 30-60-90 triangle:
- Sides are in the ratio 1 : √3 : 2
- 45-45-90 triangle:
- Sides are in the ratio 1 : 1 : √2
Trigonometry Basics for SAT Math
Trigonometry might sound scary, but it’s not too bad. Add these to your formula sheet:
Sine, Cosine, Tangent
- sin θ = opposite / hypotenuse
- cos θ = adjacent / hypotenuse
- tan θ = opposite / adjacent
To remember these, use SOHCAHTOA:
- SOH: Sine = Opposite / Hypotenuse
- CAH: Cosine = Adjacent / Hypotenuse
- TOA: Tangent = Opposite / Adjacent
Statistics and Probability Formulas for SAT Math
The SAT math test also asks about data and chance. Put these on your formula sheet:
Mean, Median, Mode
- Mean: Add up all the numbers and divide by how many there are.
- Median: Put the numbers in order and find the middle one.
- Mode: The number that appears most often.
Probability Formulas
- Simple probability: Chance of something happening = (ways it can happen) / (total possible outcomes)
- Combinations (when order doesn’t matter): nCr = n! / [r!(n-r)!]
- Permutations (when order matters): nPr = n! / (n-r)!
Exponents and Radicals Formulas for SAT Math
Exponents and radicals are important too. Add these to your formula sheet:
Laws of Exponents
- x^a × x^b = x^(a+b)
- x^a ÷ x^b = x^(a-b)
- (x^a)^b = x^(ab)
- x^(-n) = 1 / x^n
- x^0 = 1 (if x isn’t 0)
Simplifying Radicals
- √(ab) = √a × √b
- √(a/b) = √a ÷ √b
- ⁿ√(x^m) = (x^m)^(1/n)
Coordinate Geometry Formulas for SAT Math
Coordinate geometry mixes algebra and geometry. Include these on your sheet:
Distance and Midpoint
- Distance between two points: d = √[(x₂ – x₁)² + (y₂ – y₁)²]
- Midpoint between two points: M = ((x₁ + x₂)/2, (y₁ + y₂)/2)
Equation of a Circle
(x – h)² + (y – k)² = r²
(h, k) is the center of the circle, and r is how big it is (the radius).
Other Useful Formulas for Your SAT Math Formula Sheet
Here are some more formulas to add to your SAT math formula sheet:
Absolute Value in
|x| = a means x = a or x = -a
Conversions and Ratios
- To change a percent to a decimal, divide by 100. Example: 75% = 0.75
- To change a fraction to a percent, multiply by 100. Example: 3/4 = 75%
- For ratios: a:b = c:d if a×d = b×c
How to Use That SAT Math Formula Sheet
Now that you have your formula sheet, here’s how to use it:
- Understand the formulas: Don’t just memorize them. Know how they work.
- Make flashcards: Put the formula on one side and an example on the other.
- Practice a lot: Use your formula sheet to solve practice problems.
- Group similar formulas: This makes them easier to remember.
- Create shortcuts: Make up your own ways to remember formulas quickly.
- Teach others: Explaining formulas to friends helps you understand them better.
- Review often: Look at your formula sheet every day.
- Practice with a timer: This helps you get faster at using your formulas.
Why This SAT Math Formula Sheet Will Help You in 2024
This SAT math formula sheet has everything you need for the 2024 SAT math test. It covers all the important topics:
Algebra, Geometry, Trigonometry, Statistics and Probability, Exponents and Radicals, Coordinate Geometry
With this formula sheet, you’ll be ready for any math question on the test.
Remember, the sheet is a tool to help you. The real key to doing well is understanding how to use these formulas to solve problems. Practice using your SAT math formula sheet every day. The more you practice, the better you’ll do on the test.
Here are some final tips for using your SAT math formula sheet:
- Write out your SAT math formula sheet before you start studying each day.
- Try to solve problems without looking at your sheet. Then check it to see if you remembered correctly.
- Use your formula sheet to check your work after you finish a problem.
- If you’re stuck on a problem, look at your formula sheet for ideas.
- Keep your SAT math formula sheet neat and organized. It’s easier to use that way.
Conclusion
Now you have the best SAT math formula sheet for 2024. This formula sheet has all the formulas you need to do well on the test.
Remember, your SAT math formula sheet is like a helpful friend during your study time. Use it often, and it will help you succeed.
With this formula sheet and lots of practice, you’ll be ready to do your best on the SAT math test.
Good luck with your studying, and remember to bring your SAT math formula sheet with you wherever you go!
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