Functions & Equations
Fill in the blank: Given k(x) = 3x + 1, k is a function of _____.
x
Fill in the blank: 3 is the ____ of 9 and 12.
Greatest Common Factor or GCF
Find the GCF of 8 and 20
4
When multiplying two values with exponents you should ___ the two exponents
What is the formula for exponential growth and decay?
A = P (1 +- R)T
Given k(x) = 3x + 1, what is k(5)?
16
A collection of equations that we are trying to find a common solution for
System of Equations
Find the GCF of 3x2 and 9x3
3x2
When a value has an exponent of 0 it is equal to ____
1
Label each part of the exponential growth and decay formula.
A - final amount
P- initial amount
R - rate of change
T - time
The roots of a quadratic equation are where the equation is equal to this number.
zero
The change in y divided by the change in x
Slope
Factor using the difference of 2 perfect squares:
81x2 - 49y6
(9x+7y3)(9x-7y3)
Solve for x:
3x = 33x-4
x=2
I invest $200 in a bank account that earns 1.5% interest per year. Determine the amount in the account after 10 years.
about $232.12
Solve for t: 2t = 1/8
t = -3
A tool used to predict a trend for a set of data that shows a roughly linear relationship between variables
Linear regression, or trend line, or line of best fit.
Factor: x2+5x+6
(x+2)(x+3)
solve for x:
5x=25
x=2
If a substance is decaying at a rate of 15% per hour, how much of a 150kg sample is left after 1 day?
3.034 kg
I throw a ball. Its height in feet at time t in seconds is given by the function h(t) = 4 + 13t -5t2. What height did I throw the ball thrown from (or, what is the ball's starting height)?
4 feet
A quantity representing the power to which a fixed number (the base) must be raised to produce a given number
Logarithm
Factor:
3x5-17x4-28x3
x3(3x+4)(x-7)
Solve for x:
8x=42x+1
x=-2
A population of 25 fruit flies is increasing at a rate of 11% per day. Determine the number of days it takes the population to double.
about 7 days