Mathematical Modeling Spring 2012
Quiz #1 Review:
Section Key Skills
P · Solve a problem involving percent change
1.1 · Use and interpret function notation
· Solve a problem with parentheses
· Solve for an output value in a formula
· Solve a problem involving a loan payment
1.2 · Identify trends in a table
· Calculate an average rate of change in a table
· Estimate an output value from a table
· Identify a limiting value from a table
1.3 · Find an output value on a graph
· Find an input value on a graph
· Find maximums and minimums on a graph
· Identify trends on a graph
· Identify concavity on a graph
· Find and interpret inflection points on a graph
· Calculate an average rate of change on a graph
· Identify a limiting value on a graph
Quiz #2 Review:
Section Key Skills
2.1 · Set up and construct a table from an equation
· Solve for an input or output value in a table
· Solve for a maximum or minimum value in a table
· Identify trends in a table (increasing/decreasing, concave up/down,
limiting/initial value)
· Calculate an average rate of change in a table
2.2 · Set up and draw a graph from an equation
· Solve for an output value on a graph
· Identify trends on a graph (increasing/decreasing, concave up/down,
limiting/initial value)
· Calculate an average rate of change on a graph
· Estimate an inflection point on a graph
2.4 · Solve for an input value on a graph
2.5 · Solve for a minimum or maximum output value on a graph
Quiz #3 Review:
Section Key Skills
3.1 · Calculate a slope
· Calculate a change in the vertical direction
· Calculate a change in the horizontal direction
· Interpret slope as rise over run
3.2 · Write a linear equation from given information
-slope and initial value, slope and one data point, or two data points
· Calculate an input or output value
· Interpret the slope and intercepts
3.3 · Check data in a table for linearity
· Write a linear equation from linear data in a table
· Calculate an input or output value
· Interpret the slope and intercepts
Quiz #4 Review:
Section Key Skills
3.4 · Write a linear equation using a regression line · Estimate an input or output value
· Interpret the slope and intercepts
· Graph data that are nearly linear along with a regression line
· Compare actual data points using a regression line
3.5 · Set up a linear system from a verbal description
· Solve a linear system by locating the intersection
of the graphs of the equations
Quiz #5 Review:
Section Key Skills
4.1 · Calculate an input or output value in an exponential equation
· Calculate a growth/decay factor
· Write an exponential equation from given information
-growth/decay rate and initial value, growth/decay rate and one data
point, or two data points
· Calculate a growth/decay factor for a different time period
4.2 · Check data in a table to determine whether or not it is exponential
· Write an exponential equation from data in a table
· Calculate an input or output value
· Interpret the growth/decay factor/rate and initial value
Quiz #6 Review:
Section Key Skills
4.3 · Write an exponential equation using a regression line · Estimate an input or output value
· Interpret the growth/decay factor/rate and initial value
· Graph data that are nearly exponential along with a regression line
· Compare actual data points using a regression line
4.5 · Perform linear regression on exponential data using the logarithm of
the output data
4.4 · Calculate an input or output value in a logarithmic equation
· Solve problems involving earthquakes, sound, and light
Quiz #7 Review:
Section Key Skills
5.2 · Calculate an input or output value in a power equation
· Calculate a power
· Write a power equation from given information
-power and proportionality constant, power and one data point, or two
data points
· Use the homogeneity property of power functions
5.3 · Write a power equation using a regression line
· Estimate an input or output value
· Interpret the power
· Graph data that are nearly power along with a regression line
· Compare actual data points using a regression line
· Perform linear regression on power data using the logarithm of both
the input and output data