Math

How do you add or subtract fractions with different denominators?

Find common denominator then subtract

How do you multiply fractions?

multiply across

How do you divide fractions?

1. Flip the second fraction

2. Multiply

How do you add or subtract mixed fractions?

1. Convert fractions to common denominator

2. Add/subtract

3. Convert improper fractions to mixed

4. Add/subtract whole numbers

How do you add or subtract numbers with decimals?

1. Align decimals

2. add/subtract

How do you multiply decimals

1. Multiply

2. Total decimal points

3. Move the decimal in product from the total

How do you divide with decimals?

1. Make divisor a whole number

2. Move decimal of dividend amount of the divisor

3. Divide

4. Move decimal straight up

How do you convert a decimal into a fraction?

Covert into a fraction based on the decimal point’s place value

How do you convert a ratio into a fraction?

1. Divide ratio

2. The quotient over 1 or quotient:1

In proportions, when three quantities are known, how do you find the 4th?

1. Set up the proportion

2. Cross multiply

3. Divide

How do you find a percentage of a number?

1. Convert percent to decimal

2. Multiply

How do you find the percentage of a number’s other?

1. Divide output with original

2. Convert into percentage by multiplying by 100

How do you find a number when a percentage of it is unknown?

1. Convert percent into decimal

2. Divide

Positive times/divided by a negative is?

Negative

Negative times/divided by a negative is?

Positive

When dividing numbers with exponents, what do you do with the exponents?

Subtract

When multiplying numbers with exponents, what do you do with the exponents?

Add

How do you convert a standard notation into scientific notation?

1. Move decimal between the first and second digit

2. Count how many times the decimal was moved

3. Express it in (Coefficient)x10^(exponent)

How do you convert a scientific notation to standard notation?

1. Identify the exponent

2. Expand the power of ten to move exponent

How do you find the area of a rectangle?

L x w

How do you find the area of a square?

l x w

How do you find the area of a triangle?

1/2 x (base x h)

How do you find the area of a parallelogram?

l x h

How do you find the area of a trapezoid?

1/2 x (base1 + base2) x h

How do you find the area of a circle?

Pi x r^2

How do you find the circumference?

diameter x pi

How do you find the area of a wing?

wingspan x mean chord

How do you find the area of a ellipse?

pi x a x b

How do you find the surface area of a rectangle?

2 x [(w x l) + (w x h) + (l x h)]

How do you find the surface area of a cube?

6 x (side x side)

How do you find the surface area of a cylinder?

2 x pi x r^2 + 2 x pi x r x h

How do you find the surface area of a sphere?

4 x pi x r^2

How do you find the surface area of a cone?

pi x r^2 + pi x r x l

How do you find l(slant height) of a cone?

Square root of r^2 + h^2

How do you find the volume of a rectangle?

L x w x h

How do you find the volume of a cube?

side^3

How do you find the volume of a cylinder?

pi x r^2 x h

How do you find the volume of a sphere?

4/3 x pi x r^3

How do you find the volume of a cone?

1/3 x pi x r^2 x h

Pythagorean Theorem

a^2 + b^2 = c^2

What is the formula for total engine displacement?

pi x r^2 x h x # of cylinders

What is the formula for piston displacement?

area x stroke

How do you calculate the compression ratio?

Piston displacement divided by clearance volume

Swept area is another term for

Piston displacement