CheckIt! problems bank aligned to a set of learning standards from OpenStax College Algebra ( https://openstax.org/details/books/college-algebra-corequisite-support-2e ).
Public version of the bank is available here: http://matthematician.github.io/collegealgebra/ .
Find a quirk or error, or have a suggestion? Open an Issue in this Github repo.
This bank is a project of @matthematician . For more information about @StevenClontz 's CheckIt! platform see http://checkit.clontz.org .
The learning standards below are arranged into broad goals, and referenced to section numbers in the OpenStax 2nd Edition.
AL1 Simplify Arithmetic Expressions
I can evaluate and simplify arithmetic expressions without the use of a calculator, using order of operations and properties of the real numbers. [1.1]
AL2 Evaluate Formulas
I can evaluate a formula for a given input value, and use formulas to solve real-world problems. [1.1]
AL3 Exponent and Root Properties
I can use exponent laws to simplify expressions involving exponents, and to convert between radicals and rational exponents. [1.2]
AL4 Polynomial Algebra and Factoring
I can identify, characterize, and add/subtract/multiply polynomial expressions, simplify the result, and factor polynomials using a variety of techniques. [1.4, 1.5, 1.6]
AL5 Exponential, Log, and Radical Expressions
I can convert between logarithmic, exponential, and radical expressions. I can evaluate simple exponential and logarithmic expressions without using a calculator. [1.3]
EQ1 Linear Equations and Inequalities
I can solve linear equations and inequalities in one variable, and express these answers graphically and using interval notation. [2.2, 2.7]
EQ2 ABsolute-Value Equations and Inequalities
I can solve linear equations and inequalities involving absolute values, and express these answers graphically and using interval notation. [2.7, 3.6]
EQ3 Forms of Linear Equations
I can express linear equations using point-slope, slope-intercept, and standard form. I can determine an equation for a line through two given points, and a line through one given point with a given slope. [2.2]
EQ4 Quadratic Equations
I can solve quadratic equations using factoring, completing the square, and the quadratic formula. [1.5,2.5]
EQ5 Sign Charts
I can create a complete sign chart for a quadratic or rational inequality. [OSX Intermediate Algebra 7.6]
EQ6 Exponential and Logarithmic Equations
I can solve basic exponential equations and basic logarithmic equations. [6.5, 6.6]
FN1 Definition of Function
I can use the definition of function to distinguish whether a given relation, equation, or graph defines a function. [3.1]
FN2 Using Function Notation
I can use function notation appropriately, and evaluate a function for a given input value. [3.1]
FN3 Basic Function Graphing
I can graph a function by plotting ordered pairs. I can quickly and accurately graph a library of “basic” functions. [3.1]
FN4 Slope and Average Rate of Change
I can determine the slope between two given points, and the average rate of change of a given function over a given interval. [2.1, 3.3]
FN5 Reading a Function's Graph
I can use a function’s graph to obtain information about a function, including its domain and range, intercepts, maximum and minimum points, and whether it is increasing or decreasing. [2.1, 3.3]
FN6 Domain and Intercepts of a Function
I can use a function’s formula to determine its domain and its x- and y-intercepts. [3.1, 3.2]
FN7 Transforming Functions
I can apply transformations including horizontal and vertical shifts, stretches, and reflections to a function. I can express the result of these transformations graphically and algebraically. [3.5]
FN8 Composite Functions
I can simplify composite functions, and evaluate them algebraically and graphically. [3.4]
FN9 Inverse Functions
Ican determine if a function is one-to-one, and compare, contrast, and convert between a function and its inverse function both algebraically and graphically. [3.7]
LI1 Linear Models and Meanings
I can build linear models from verbal descriptions, and use the models to establish conclusions, including by contextualizing the meaning of slope and intercept parameters. [2.3, 4.1, 4.2]
LI2 Parallel and Perpendicular Lines
I can use slope relationships to determine whether two lines are parallel or perpendicular. [2.2,4.1]
LI3 Systems of Two Linear Equations
I can solve a system of two linear equations using either a substitution or an elimination method. [7.1]
PR1 Graphing Quadratic Functions
I can graph quadratic functions using transformations of
$f(x) = x^2$ , and identify their axis of symmetry and maximum or minimum point. [5.1]
PR2 Quadratic Models and Meanings
I can build quadratic models from verbal descriptions, and use the models to establish conclusions. [5.1]
PR3 Properties of Polynomial Functions
I can use the graph of a polynomial function to determine some of its properties, including the parity of its degree, the sign of its leading coefficient, its zeroes and their multiplicity. [1.4,1.5,1.6,5.2,5.3]
PR4 Properties of Rational Functions
I can use its formula to find the domain, vertical and horizontal asymptotes, and intercepts of a given rational function. I can use this information along with a sign chart to sketch the graph of a given rational function. [5.6]
EX1 Exponential Functions
I can identify the base and intercept of a given exponential function, evaluate exponential functions, and determine an equation for an exponential function given two data points. [6.1]
EX2 Graphs of Exponential Functions
I can graph exponential functions and determine algebraically and graphically whether an exponential function represents growth or decay. [7.2]
EX3 Logarithmic Functions
I can determine an equation for a logarithmic function, its base, and domain, and its graph. [6.3-6.4]
EX4 Change of Base
I can apply the change of base formula to a logarithmic function. [6.3-6.4]