Math Formula Sheet for the SAT: Your Essential Study Companion
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Math Formula Sheet for the SAT: Your Essential Study Companion

Mastering the SAT Math section requires a solid foundation in mathematical concepts and formulas. Equipping yourself with a comprehensive formula sheet is crucial for success on test day. This guide provides you with the essential formulas you must know to conquer the challenging questions on the SAT.

University of Tennessee Tuition Per Year: A Comprehensive Guide

Key Statistics for the SAT Math Section

  • Percentage of Total Score: 50%
  • Number of Questions: 58 (No Calculator) / 38 (Calculator)
  • Average Score Range: 510-560

Algebra

Linear Equations:
– Slope-intercept form: y = mx + b
– Point-slope form: y – y1 = m(x – x1)

Quadratic Equations:
– Standard form: ax² + bx + c = 0
– Factoring: (ax + b)(cx + d) = 0
– Quadratic formula: x = (-b ± √(b² – 4ac)) / 2a

math formula sheet for sat

Inequalities:
– Linear inequalities: ax + b > c
– Quadratic inequalities: ax² + bx + c > 0

Functions:
– Linear functions: y = mx + b
– Quadratic functions: y = ax² + bx + c
– Exponential functions: y = a^x
– Logarithmic functions: logₐ(x) = y

Geometry

Pythagorean Theorem:
– a² + b² = c²

Area of Common Shapes:
– Rectangle: A = lw
– Triangle: A = ½bh
– Circle: A = πr²

Math Formula Sheet for the SAT: Your Essential Study Companion

Perimeter of Common Shapes:
– Rectangle: P = 2l + 2w
– Triangle: P = a + b + c
– Circle: P = 2πr

Volume of Common Solids:
– Rectangular prism: V = lwh
– Cylinder: V = πr²h
– Sphere: V = (4/3)πr³

Trigonometry

Trigonometric Ratios:
– Sine: sin(θ) = opposite / hypotenuse
– Cosine: cos(θ) = adjacent / hypotenuse
– Tangent: tan(θ) = opposite / adjacent

Trigonometric Identities:
– sin²(θ) + cos²(θ) = 1
– tan²(θ) + 1 = sec²(θ)

Statistics

Mean:
– x̄ = (Σx) / n

Standard Deviation:
– σ = √(Σ(x – x̄)²) / (n – 1))

Probability:
– Independent events: P(A and B) = P(A) × P(B)
– Dependent events: P(A and B) = P(A) × P(B|A)

Percentage of Total Score:

Additional Tips

  • Familiarize yourself thoroughly with the formulas.
  • Practice applying the formulas to solve problems.
  • Utilize the formula sheet on test day, but don’t rely on it heavily.
  • Understand the concepts behind the formulas.

Table 1: Frequently Tested Algebra Formulas

Formula Application
Slope-intercept form Finding the equation of a line
Quadratic formula Solving quadratic equations
Linear inequality Graphing inequalities
Exponential function Modeling exponential growth or decay
Logarithmic function Solving equations involving exponents

Table 2: Essential Geometry Formulas

Formula Application
Pythagorean theorem Solving right triangles
Area of a circle Finding the area of circles
Volume of a sphere Calculating the volume of spheres
Trigonometric ratios Solving trigonometric equations
Trigonometric identity Proving trigonometric relationships

Table 3: Key Statistics Formulas

Formula Application
Mean Finding the average of a data set
Standard deviation Measuring the spread of a data set
Probability Calculating the likelihood of events
Independent events Combining probabilities of independent events
Dependent events Combining probabilities of dependent events

Table 4: Recommended Study Strategy

Phase Duration Focus
Familiarization 1-2 weeks Read and understand the formulas
Practice 2-4 weeks Apply formulas to solve problems
Review 1-2 days before test Review formulas and practice problems

Conclusion

Mastering the formula sheet is essential for maximizing your score on the SAT Math section. Dedicate the necessary time to study and practice these formulas. Remember to not only memorize them but to also understand their applications. This guide provides you with the resources and knowledge you need to feel confident and prepared on test day.