asvab formulas
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81 Terms
What is the sum of two or more numbers?
Formula: \text{Sum} = a + b (+ c \dots)
What is the difference between two numbers?
Formula: \text{Difference} = a - b
What is the product of two numbers?
Formula: \text{Product} = a \times b
What is the quotient of two numbers?
Formula: \text{Quotient} = a \div b
How do you add two fractions with the same denominator?
Formula: \frac{a}{b} + \frac{c}{b} = \frac{a + c}{b}
How do you subtract fractions with the same denominator?
Formula: \frac{a}{b} - \frac{c}{b} = \frac{a - c}{b}
How do you multiply two fractions?
Formula: (\frac{a}{b})(\frac{c}{d}) = \frac{ac}{bd}
How do you divide fractions?
Formula: (\frac{a}{b}) \div (\frac{c}{d}) = (\frac{a}{b})(\frac{d}{c})
How do you convert a decimal to a percent?
Formula: \text{Decimal} \times 100 = \text{Percent}
How do you convert a percent to a decimal?
Formula: \text{Percent} \div 100 = \text{Decimal}
What is the formula for finding a percent of a number?
Formula: \text{Percent} \times \text{Number}
What is the formula for percent increase or decrease?
Formula: \frac{\text{New} - \text{Old}}{\text{Old}} \times 100
How do you compare two quantities using a ratio?
Formula: a : b = \frac{a}{b}
How do you solve a proportion?
Formula: \frac{a}{b} = \frac{c}{d} \rightarrow ad = bc
What is the area of a rectangle?
Formula: A = l \times w
What is the area of a square?
Formula: A = s^2
What is the area of a triangle?
Formula: A = \frac{1}{2}bh
What is the area of a circle?
Formula: A = \pi r^2
What is the formula for the perimeter of a rectangle?
Formula: P = 2l + 2w
What is the formula for the circumference of a circle?
Formula: C = 2\pi r or C = \pi d
What is the volume of a rectangular prism?
Formula: V = lwh
What is the volume of a cube?
Formula: V = s^3
What is the volume of a cylinder?
Formula: V = \pi r^2 h
What is the sum of angles on a straight line?
180^\circ
What is the sum of angles in a triangle?
180^\circ
What is the measure of a right angle?
90^\circ
How do you solve for x in the addition problem x + a = b?
Formula: x = b - a
How do you solve for x in the multiplication problem ax = b?
Formula: x = b \div a
What is the Distributive Property formula?
a(b + c) = ab + ac
How do you simplify by combining like terms?
Formula: ax + bx = (a + b)x
What is the formula for distance?
\text{Distance} = \text{Rate} \times \text{Time} (d = rt)
What is the formula for work rate problems?
\text{Work Rate} = \frac{1}{\text{Time}}
What is the sum of two or more numbers?
Formula: \text{Sum} = a + b (+ c \dots)
What is the difference between two numbers?
Formula: \text{Difference} = a - b
What is the product of two numbers?
Formula: \text{Product} = a \times b
What is the quotient of two numbers?
Formula: \text{Quotient} = a \div b
How do you add two fractions with the same denominator?
Formula: \frac{a}{b} + \frac{c}{b} = \frac{a + c}{b}
How do you subtract fractions with the same denominator?
Formula: \frac{a}{b} - \frac{c}{b} = \frac{a - c}{b}
How do you multiply two fractions?
Formula: (\frac{a}{b})(\frac{c}{d}) = \frac{ac}{bd}
How do you divide fractions?
Formula: (\frac{a}{b}) \div (\frac{c}{d}) = (\frac{a}{b})(\frac{d}{c})
How do you convert a decimal to a percent?
Formula: \text{Decimal} \times 100 = \text{Percent}
How do you convert a percent to a decimal?
Formula: \text{Percent} \div 100 = \text{Decimal}
What is the formula for finding a percent of a number?
Formula: \text{Percent} \times \text{Number}
What is the formula for percent increase or decrease?
Formula: \frac{\text{New} - \text{Old}}{\text{Old}} \times 100
How do you compare two quantities using a ratio?
Formula: a : b = \frac{a}{b}
How do you solve a proportion?
Formula: \frac{a}{b} = \frac{c}{d} \rightarrow ad = bc
What is the area of a rectangle?
Formula: A = l \times w
What is the area of a square?
Formula: A = s^2
What is the area of a triangle?
Formula: A = \frac{1}{2}bh
What is the area of a circle?
Formula: A = \pi r^2
What is the formula for the perimeter of a rectangle?
Formula: P = 2l + 2w
What is the formula for the circumference of a circle?
Formula: C = 2\pi r or C = \pi d
What is the volume of a rectangular prism?
Formula: V = lwh
What is the volume of a cube?
Formula: V = s^3
What is the volume of a cylinder?
Formula: V = \pi r^2 h
What is the sum of angles on a straight line?
180^\circ
What is the sum of angles in a triangle?
180^\circ
What is the measure of a right angle?
90^\circ
How do you solve for x in the addition problem x + a = b?
Formula: x = b - a
How do you solve for x in the multiplication problem ax = b?
Formula: x = b \div a
What is the Distributive Property formula?
a(b + c) = ab + ac
How do you simplify by combining like terms?
Formula: ax + bx = (a + b)x
What is the formula for distance?
\text{Distance} = \text{Rate} \times \text{Time} (d = rt)
What is the formula for work rate problems?
\text{Work Rate} = \frac{1}{\text{Time}}
What is the average of a set of numbers?
Formula: \text{Average} = \frac{\text{Sum}}{\text{Number of items}}
What is the area of a parallelogram?
Formula: A = b \cdot h
What is the formula for the perimeter of a square?
Formula: P = 4s
What is the volume of a sphere?
Formula: V = \frac{4}{3} \pi r^3
What is the volume of a cone?
Formula: V = \frac{1}{3} \pi r^2 h
What is the formula for Simple Interest?
Formula: I = PRT
where:
- I = interest
- P = principal
- R = rate
- T = time
What is the formula for probability?
Formula: P = \frac{\text{Desired Outcome}}{\text{Total Outcome}}
What is the formula for the slope of a line?
Formula: m = \frac{y2 - y1}{x2 - x1}
What is the equation of a straight line in slope-intercept form?
Formula: y = mx + b
What is the distance formula between two points?
Formula: d = \sqrt{(x1 - x2)^2 + (y1 - y2)^2}
What is the formula for the midpoint of two points?
Formula: (x, y) = \left(\frac{x1 + x2}{2}, \frac{y1 + y2}{2}\right)
What is the formula for the sum of interior angles of a polygon?
Formula: (n - 2) \times 180^\circ
What is the Pythagorean Theorem?
For a right-angle triangle: a^2 + b^2 = c^2
How do you add or subtract logarithms with the same base?
- \logb(mn) = \logb(m) + \log_b(n)
- \logb\left(\frac{m}{n}\right) = \logb(m) - \log_b(n)
What are the core exponent rules?
- (x^m)^n = x^{mn}
- x^m \cdot x^n = x^{m+n}
- \frac{x^m}{x^n} = x^{m-n}
What is the Quadratic Equation Formula?
If ax^2 + bx + c = 0, then:
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
How do radicals relate to fractional exponents?
Formula: \sqrt[n]{x} = x^{\frac{1}{n}}
Example:
\sqrt{16} = (16)^{\frac{1}{2}} = 4
Note 
Flashcards (78)