LET Reviewer: BASIC MATHEMATICS Formula
Perimeter of a Square
- P = 4s
- P = 4s
Perimeter of a Rectangle
- P=2l+2w
- P=2l+2w
Circumference of a Circle
- C = 2πr OR πd
- C = 2πr OR πd
Area of a Square
- A=s²
- A=s²
Area of a Rectangle/ Square
- A=lw
- A=lw
Area of a Parallelogram
- A=bh
- A=bh
Area of a Trapezoid
- A=½(b₁+b₂)h
- A=½(b₁+b₂)h
Area of a Circle
- A=πr²
- A=πr²
Surface Area of a Rectangular Prism
- SA = 2lw + 2wh + 2lh
- SA = 2lw + 2wh + 2lh
Surface Area of a Circular Prism (Cylinder)
- 2pR² + 2pRH
- 2pR² + 2pRH
Surface Area of a Triangular Prism
- bh + (S1+ S2 + S3)H
- bh + (S1+ S2 + S3)H
Base shape: Triangle:
base 'b', height 'h', and sides S1, S2 and S3
base 'b', height 'h', and sides S1, S2 and S3
Area of base
: ½b×h
: ½b×h
Perimeter of base:
S1+ S2 + S3
S1+ S2 + S3
Surface Area of a Cone
- SA=πrl+πr²
- SA=πrl+πr²
Surface Area of a Sphere
- SA=4πr²
- SA=4πr²
Volume of a Cube
- V=s³
- V=s³
Volume of a Prism
- V =Bh
- V =Bh
Volume of a Pyramid
- V=⅓Bh
- V=⅓Bh
Volume of a Cone
- V=1/3πr²h
- V=1/3πr²h
Volume of a Sphere
- V=(4/3)πr³
- V=(4/3)πr³
average = sum of terms / number of terms
average speed = total distance / total time
mode = value in the list that appears most often
median = middle value in the list
Area of a Trapezoid
- A=½(b₁+b₂)h
- A=½(b₁+b₂)h
Slope Formula
- m=y₂-y₁/x₂-x₁
- m=y₂-y₁/x₂-x₁
Slope-Intercept Form
- y=mx+b, where m is the slope and b is the y-intercept of the line.
- y=mx+b, where m is the slope and b is the y-intercept of the line.
Point-Slope Form
- y-y₁=m(x-x₁), where m is the slope and (x₁,y₁) is a given point on the line
- y-y₁=m(x-x₁), where m is the slope and (x₁,y₁) is a given point on the line
Standard Form (Linear Equations)
- Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative
- Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative
Standard Form (Quadratic Equations)
- ax² + bx + c = 0
- ax² + bx + c = 0
Quadratic Formula
- x = -b ± √(b² - 4ac)/2a
- x = -b ± √(b² - 4ac)/2a
Standard Form (Quadratic Functions)
- y=ax²+bx+c
Intercept Form (Quadratic Functions)
- the form y=a(x-p)(x-q), where the x-intercepts of the graph are p and q
- y=ax²+bx+c
Intercept Form (Quadratic Functions)
- the form y=a(x-p)(x-q), where the x-intercepts of the graph are p and q
Vertex Form (Quadratic Functions)
- y=a(x-h)²+k
- y=a(x-h)²+k
Exponential Growth Formula
- y = a (1 + r), r is a decimal value for the percent increase
- y = a (1 + r), r is a decimal value for the percent increase
Exponential Decay Formula
- y = a(1 - r), r is a decimal value for the percent decrease
- y = a(1 - r), r is a decimal value for the percent decrease
Arithmetic Sequence Formula
- a₁+(n-1)d
- a₁+(n-1)d
Geometric Sequence (Definition and Formula)
- a sequence that can be defined recursively as An = A(n-1)r
- a sequence that can be defined recursively as An = A(n-1)r
Simple Interest Formula
- I=Prt
- I=Prt
Compound Interest Formula
- A = P(1 + r/n)^(n x t), r is the rate, n is the number of times compounded, t is time
- A = P(1 + r/n)^(n x t), r is the rate, n is the number of times compounded, t is time
Distance Formula
- d = √[( x₂ - x₁)² + (y₂ - y₁)²]
- d = √[( x₂ - x₁)² + (y₂ - y₁)²]
Midpoint Formula
- (x₁+x₂)/2, (y₁+y₂)/2
- (x₁+x₂)/2, (y₁+y₂)/2
Distance Traveled Formula
- d=rt
- d=rt
1 kg (kilograms) --> lbs - 2.2 lbs (pounds)
1 kg (kilograms) --> grams - 1000 g (grams)
1 g (gram) --> milligrams - 1000 mg (milligrams)
1000 mcg (micrograms) --> milligrams - 1 mg (milligram)
1000 mg (milligram) --> gram - 1 g (gram)
1000 mL (milliliters) --> liters - 1 L (liters)
30 mL (millilters) --> ounces - 1 oz (ounce)
30 mL (milliliters) --> tablespoon - 2 tbsp (tablespoons)
5 mL (milliliters) --> teaspoon - 1 tsp (teaspoon)
15 mL (milliliters) --> tablespoon - 1 tbsp (tablespoon)
DO NOT WRITE - trailing zeros ex: 5.0
DO WRITE - leading zeros ex: 0.5
Linear Function Format - Y = mx + b
Identity function format - F(x) = x
Square function format - Y = x^2
Cube function format? - Y = x^3
Square root function format? - Y = (x)^(1/2)
Exponential Function format? - y = e^x
Thanks for this formula reviewer in math
ReplyDeleteThankyou so much Godbless😇
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