TSIA2 Mathematics Assessment Comprehensive Study Notes

1. If there are 2.2 pounds in 1 kilogram, how many  pounds are there in x kilograms?

This represents a basic conversion problem where you can calculate the number of pounds in x kilograms by multiplying x by 2.2.

For which of the following values of x is the function

f(x) = 4–x2 NOT defined as a real number?

[square root]

The function f(x) = 4–x^2 is not defined as a real number for values of x where 4–x^2 < 0, which occurs when x^2 > 4. Thus, it is undefined for x < -2 and x > 2.

Under ideal conditions, the population of a certain

species doubles every nine years. If the population

started with 100 individuals, which of the following

expressions gives the population of the species t years

after the population started, assuming that the

population has been living under ideal conditions?

[graphing]

The population can be modeled by the expression $P(t) = 100 imes 2^{\frac{t}{9}}$, where $P(t)$ is the population at time $t$.

Richard bought 3 slices of cheese pizza and 2 sodas

for $8.75. Jordan bought 2 slices of cheese pizza and 4

sodas for $8.50. How much would an order of 1 slice of

cheese pizza and 3 sodas cost? [basic]

This problem represents a system of equations where the cost of pizza and soda needs to be determined based on the purchases of Richard and Jordan. By setting up the equations from their purchases, you can solve for the individual prices and then calculate the total cost for the order specified.

If 5c − 2 = 3c, then 24c =

[basic]