Direct relationships
In direct relationships, increasing one variable proportionately increases the other; as one decreases, the other decreases by the same proportion.
Inverse relationships
In inverse relationships, an increase in one variable is associated with a proportional decrease in the other.
Factor: 1012
What is the prefix and the prefix abbreviation?
tera-
T
Factor: 109
What is the prefix and the prefix abbreviation?
giga-
G
Factor: 106
What is the prefix and the prefix abbreviation?
mega-
M
Factor: 103
What is the prefix and the prefix abbreviation?
kilo-
k
Factor: 102
What is the prefix and the prefix abbreviation?
hecto-
h
Factor: 101
What is the prefix and the prefix abbreviation?
deka-
da
Factor: 10-1
What is the prefix and the prefix abbreviation?
deci-
d
Factor: 10-2
What is the prefix and the prefix abbreviation?
centi-
c
Factor: 10-3
What is the prefix and the prefix abbreviation?
milli-
m
Factor: 10-6
What is the prefix and the prefix abbreviation?
micro-
μ
Factor: 10-9
What is the prefix and the prefix abbreviation?
nano-
n
Factor: 10-12
What is the prefix and the prefix abbreviation?
pico-
p
1 mile (mi) is _____ feet (ft).
5,280 ft
1 foot (ft) is _____ inches (in).
12 in
1 inch (in) is _____ centimeters (cm).
~ 2.54 cm
1 Calorie (Cal) is _____ calories (cal).
1000 cal
1 calorie (cal) is _____ joules (J).
4.184 J
1 electron–volt (eV) is _____ joules (J).
1.602 × 10−19 J
1 liter (L) is _____ ounces (oz).
33.8 oz
1 pound (lb) is _____ newtons (N).
4.45 N
1 atomic mass unit (amu) is _____ kilograms (kg).
1.661 × 10−27 kg
Celsius, Fahrenheit, and Kelvin conversion equations
Dimensional analysis
Dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities (such as length, mass, time, and electric current) and units of measure (such as miles vs. kilometres, or pounds vs. kilograms) and tracking these dimensions as calculations or comparisons are performed.
In order to solve a system of equations, there must be at least _____.
as many equations as there are variables
When there are multiple variables, we can solve for the variables using one of three methods: _____, _____, or _____.
-substituting one variable in terms of the other (substitution)
-setting equations equal to each other
-manipulating the equations to eliminate one of the variables (elimination)