HESI A2 2024 MATH
proportions
A RELATIONSHIP B/W 2 QUANTITIES THAT DICTATES HOW ONE CHANGES WHEN THE
OTHER CHANGES
direct proportion
A QUANTITY INCREASES BY A SET AMOUNT FOR EVERY INCREASE IN THE OTHER
QUANTITY
- Or decreases by that same amount for every decrease in the other quantity
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assuming a constant driving speed, the time required for a car trip increases as the distance of
the trip increases. Is this direct or inverse?
DIRECTLY PROPORTIONAL
inverse proportion
AN INCREASE IN 1 QUANTITY IS ACCOMPANIED BY A DECREASE IN THE OTHER
- Or vice versa
the time required for a car trip decreases as the speed increases and increases as the speed
decreases. Is this direct or inverse?
INVERSE PROPORTION
ratio
, A COMPARISON OF 2 QUANTITIES IN A PARTICULAR ORDER
- Reduced to their smallest whole number
constant of proportionality
2 QUANTITIES HAVE A PROPORTIONAL RELATIONSHIP SO THIS EXISTS B/W THE
QUANTITIES
- The product of this constant and one of the quantities is equal to the other quantity.
the constant of proportionality is?
THE UNIT PRICE
unit rate
A QUANTITY OF ONE THING IN TERMS OF ONE UNIT OF ANOTHER
- The denominator is always 1
- Used to compare different situations to solve problems
Ex: deciding the best deal of a product
mathematical expressions
COMBINATION OF 1 OR MORE VALUES ARRANGED IN TERMS THAT ARE ADDED
TOGETHER
- Could be a single number like 0
- Include numbers w/o a variable called constants or constant terms
variable term
THE PRODUCT OF A REAL NUMBER
- Also called a coefficient
- One or more variable, each of which may be raised to an exponent
single variable linear expression
THE SUM OF A SINGLE VARIABLE TERM WHERE THE VARIABLE HAS NO EXPONENT
AND A CONSTANT WHICH MAY BE 0
EX: 2w + 7 has 2w as the variable term and 7 as the constant term
linear expression
THE SUM OF ANY NUMBER OF VARIABLE TERMS SO LONG AS NONE OF THE
VARIABLES HAVE AN EXPONENT
EX: 3m + 8n - 1/4p + 5.5q - 1 is a correct expression
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