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(1-1) Solve a linear equation in one variable
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(1-1) Simplify rational equations into linear equations
and solve (Hint: Remember to check solutions!)
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(1-1) Solve a linear equation in two variables, i.e.,
solve for one variable in terms of the other
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(1-1) Solve a linear inequality in one variable
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(1-1) Graph the solution to a linear inequality in one
variable on the number line
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(1-1) Be able to read interval and set notation (i.e.,
brackets, parentheses, >, <, etc.)
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(1-1) Solve an applied (word) problem when given a
formula to use
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(1-1) Solve an applied problem when no formula is give
(Hint: you must create a formula or equation to solve)
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(1-2) Classify a table of values as a function or a
relation
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(1-2) Classify a graph in the xy-coordinate plane
as a function or a relation (Hint: use the vertical-line test)
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(1-2) Evaluate a function with numeric input, e.g.,
f(-2)
- (1-2) Evaluate a function with variable input, e.g.,
f(x+h)
- (1-2) Given an function output value (y-value), solve
for the corresponding domain value (x-value)
- (1-2) Verify whether a point lies on the graph of a
function
- (1-2) Determine the domain of a rational function
- (1-2) Determine the domain of a radical function
- (1-2) Determine the range of a function by examining its
graph
- (1-2) Do arithmetic with functions; know how to add,
subtract, multiply, and divide two functions
- (1-2) Compute the composite of two functions
- (1-2) Read a bar graph, chart, or table of values to
solve an applied problem
- (1-3) Locate the x-intercept and y-intercept
of the graph of a linear function
- (1-3) Calculate the slope between two points on the
xy-coordinate plane
- (1-3) Know the slope of a horizontal line (m=0) and the
slope of a vertical line (undefined)
- (1-3) Estimate the slope of a line based on the graph
- (1-3) Understand how to use the templates for a linear
equation: point-slope form; slope-intercept form
- (1-3) Determine the slope and y-intercept of a
line in slope-intercept form
- (1-3) Solve a linear equation for y to put the
equation in slope-intercept form
- (1-3) Given the slope and y-intercept, write an
equation of the line
- (1-3) Given the slope and any point on the line, write
an equation of the line
- (1-3) Given two points, write an equation of the line
passing through the points
- (1-3) Determine whether two lines are parallel or
perpendicular by analyzing their slopes and y-intercepts
- (1-3) Given a point on the line, write an equation of
the line parallel to a given line
- (1-3) Given a point on the line, write an equation of
the line perpendicular to a given line
- (1-3) Evaluate a linear function to solve an applied
problem
- (1-3) Given data in an applied problem, write a linear
function to solve the problem
- (1-4) Graph a polynomial or rational function using your
graphing calculator
- (1-4) Know how to adjust the viewing window on your
graphing calculator
- (1-4) Know how to use the table feature on your graphing
calculator
- (1-4) Use a graphing calculator to estimate intercepts
of a function's graph
- (1-4) Use a graphing calculator to estimate the max or
min of a function's graph
- (1-5) Based on the graph of a system of linear
equations, classify the system as independent (1 solution) or dependent (∞
solutions)
- (1-5) Based on the graph of a system of linear
equations, classify the system as inconsistent (no solutions) or consistent
(has solutions)
- (1-5) Estimate the solution of a system of two linear
equations by graphing
- (1-5) Compute the exact solution(s) if any of a system
of two linear equations by substitution or elimination methods
- (1-5) Solve a system of three linear equations in three
variables
- (1-5) Create a system of linear equations based on a
written description in an applied problem
- (1-6) Understand the relationship between profit, cost,
and revenue (Hint: P = R - C)
- (1-6) Create a profit function based on the revenue and
cost functions in an applied problem
- (1-6) Understand that break-even occurs when revenue =
cost or profit = 0
- (1-6) Compute the break-even point for an applied
problem
- (1-6) Read a graph to understand the increase or
decrease of a supply, demand, revenue, cost, or profit function
- (1-6) Understand that equilibrium occurs when supply =
demand
- (1-6) Compute the equilibrium point for an applied
problem