SAT Math Reference Sheet: Embark on Test Success with These 20 Formulas

Introduction

The SAT Math section is a daunting challenge for many students. With its complex equations and unfamiliar concepts, it can seem like an impossible hurdle. But with the right preparation, you can conquer this section and boost your overall SAT score.

Key Formulas

Mastering these essential formulas is crucial for success on the SAT Math:

• Algebra
• Slope-intercept form: y = mx + b
• Quadratic formula: x = (-b ± √(b² - 4ac)) / 2a
• Logarithm properties: log(ab) = log(a) + log(b); log(a/b) = log(a) - log(b)
• Geometry
• Area of a triangle: A = (1/2) * base * height
• Volume of a sphere: V = (4/3) * πr³
• Pythagorean theorem: a² + b² = c²
• Trigonometry
• Sine: sin(θ) = opposite / hypotenuse
• Cosine: cos(θ) = adjacent / hypotenuse
• Tangent: tan(θ) = opposite / adjacent

Effective Strategies

• Practice regularly: Dedicate time each day to practicing math problems. The College Board recommends 10 hours of practice per week.
• Identify your strengths and weaknesses: Take practice tests to gauge your performance and pinpoint areas where you need improvement.
• Review concepts thoroughly: Go over the math concepts you're struggling with until you understand them completely. Use textbooks, online resources, or seek help from a tutor.
• Time management: Practice answering questions within the allotted time. Learn to budget your time wisely and avoid spending too much time on any one question.
• Mental math: Develop your mental math skills to save time on easier calculations.
• Check your work: Always go back and check your answers before submitting. This simple step can eliminate silly mistakes.

Common Mistakes to Avoid

• Misreading the question: Read each question carefully and make sure you understand what it's asking.
• Using the wrong formulas: Memorize the key formulas and apply them appropriately.
• Making calculation errors: Check your calculations thoroughly to avoid simple mistakes.
• Estimating instead of solving: Avoid estimating answers unless absolutely necessary.
• Ignoring units: Pay attention to the units of measurement and include them in your answers.

Step-by-Step Approach

1. Read the question carefully. Identify the concepts being tested and the information provided.
2. Choose the appropriate formula: Select the formula that best fits the question.
3. Substitute the values: Plug the given information into the formula.
4. Solve for the unknown: Perform the necessary calculations to find the missing value.
5. Check your answer: Make sure your answer makes sense and satisfies the conditions of the question.

Sample Problems

1. Find the area of a triangle with a base of 12 cm and a height of 8 cm.
   - Use the formula A = (1/2) * base * height
   - Substitute the values: A = (1/2) * 12 cm * 8 cm = 48 cm²

   

2. Solve for x: 3x + 5 = 14
   - Subtract 5 from both sides: 3x = 9
   - Divide both sides by 3: x = 3

3. Find the sine of an angle with a hypotenuse of 10 and an opposite side of 6.
   - Use the formula sin(θ) = opposite / hypotenuse
   - Substitute the values: sin(θ) = 6 / 10 = 0.6

Conclusion

The SAT Math section requires a combination of knowledge, practice, and strategic thinking. By familiarizing yourself with the key formulas, adopting effective strategies, and avoiding common mistakes, you can overcome this challenge and achieve your desired score. Remember, consistent effort and a positive attitude are key to success on the SAT Math.