A.5A: solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides

A.5B: solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides

A.12E: solve mathematic and scientific formulas, and other literal equations, for a specified variable

A.2A: determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities

A.3B: calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems

A.3C: graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems

A.12A: decide whether relations represented verbally, tabularly, graphically, and symbolically define a function

A.12B: evaluate functions, expressed in function notation, given one or more elements in their domains

A.3A: determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, Ax + By = C and y - y₁ = m(x - x₁)

A.3E: determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d

A.2C: write linear equations in two variables given a table of values, a graph, and a verbal description

A.2B: write linear equations in two variables in various forms, including y = mx + b, Ax + By = C, and y - y₁ = m(x - x₁), given one point and the slope and given two points

A.2D: write and solve equations involving direct variation

A.2E: write the equation of a line that contains a given point and is parallel to a given line

A.2F: write the equation of a line that contains a given point and is perpendicular to a given line

A.2G: write an equation of a line that is parallel or perpendicular to the x- or y-axis and determine whether the slope of the line is zero or undefined

A.4A: calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association

A.4B: compare and contrast association and causation in real-world problems

A.4C: write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems

A.12C: identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes

A.12D: write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms

A.2I: write systems of two linear equations given a table of values, a graph, and a verbal description

A.5C: solve systems of two linear equations with two variables for mathematical and real-world problems

A.3F: graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist;

A.3G: estimate graphically the solutions to systems of two linear equations with two variables in real-world problems

A.2H: write linear inequalities in two variables given a table of values, a graph, and a verbal description

A.3D: graph the solution set of linear inequalities in two variables on the coordinate plane

A.3H: graph the solution set of systems of two linear inequalities in two variables on the coordinate plane

A.11B: simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents

A.10E: factor, if possible, trinomials with real factors in the form ax² + bx + c, including perfect square trinomials of degree two

A.10A: add and subtract polynomials of degree one and degree two

A.10B: multiply polynomials of degree one and degree two

A.10C: determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend

A.10D: rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property

A.10F: decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial

A.7A: graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry

A.7C: determine the effects on the graph of the parent function f(x) = x² when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d

A.6A: determine the domain and range of quadratic functions and represent the domain and range using inequalities

A.6B: write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x - h)²+ k), and rewrite the equation from vertex form to standard form (f(x) = ax²+ bx + c)

A.6C: write quadratic functions when given real solutions and graphs of their related equations

A.7B: describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions

A.8B: write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems

A.12A: decide whether relations represented verbally, tabularly, graphically, and symbolically define a function

A.12B: evaluate functions, expressed in function notation, given one or more elements in their domains

A.8A: solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula

A.11A: simplify numerical radical expressions involving square roots

A.9D: graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems

A.9A: determine the domain and range of exponential functions of the form f(x) = ab^x and represent the domain and range using inequalities

A.9B: interpret the meaning of the values of a and b in exponential functions of the form f(x) = ab^x in real-world problems

A.9C: write exponential functions in the form f(x) = ab^x (where b is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay

A.9E: write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems

A.12A: decide whether relations represented verbally, tabularly, graphically, and symbolically define a function

A.12C: identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes

A.12D: write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms