FSA Algebra I End-of-Course Review Packet

MAFS.912.A-APR.1.1 EOC Practice

Level 2: Adds two polynomials with integral coefficients, possibly requiring distribution.
Level 3: Adds/subtracts polynomials, including cases with monomial/binomial multiplication (degree ≤ 1).
Level 4: Completes informal closure arguments; applies multiple operations (excluding division) to simplify polynomials.
Level 5: Explains closure for polynomials.

MAFS.912.A-CED.1.1 EOC Practice

Level 2: Writes/chooses one-variable linear equations/inequalities in real-world contexts.
Level 3: Writes/chooses simple exponential (no translations) or quadratic equations.
Level 4: Writes exponential equations with translations or quadratic equations, identifying variable meanings.
Level 5: Employs the modeling cycle when writing equations.

MAFS.912.A-REI.2.3 EOC Practice

Level 2: Solves linear equations (variable on one side, simple fractions as coefficients) and inequalities (variable on one side, positive coefficient).
Level 3: Solves linear equations/inequalities in one variable with the variable on both sides (≤ 3 steps).
Level 4: Solves linear equations (one coefficient as a letter, ≤ 3 steps) and compound inequalities.
Level 5: Solves linear equations/inequalities (coefficients as letters, ≤ 4 steps).

MAFS.912.A-CED.1.4 EOC Practice

Level 2: Solves literal linear equations in real-world contexts for a variable with a coefficient of 1.
Level 3: Solves literal equations requiring two steps.
Level 4: Solves literal equations requiring three steps.
Level 5: Solves literal equations requiring four steps.

MAFS.912.A-CED.1.2 EOC Practice

Level 2: Writes/chooses two-variable linear equations for real-world contexts with integral coefficients.
Level 3: Writes/chooses systems of linear equations or a single equation with ≥ 3 variables with integral coefficients.
Level 4: Writes systems of linear equations or a single equation with ≥ 3 variables; correctly identifies variable meanings.
Level 5: Employs the modeling cycle when writing equations that have two variables.

MAFS.912.A-REI.3.5 EOC Practice

Level 2: Identifies an equivalent system of two equations in two variables with a multiple of one equation from the original system.
Level 3: Identifies an equivalent system with a sum of the original equations and a multiple of the other.
Level 4: Identifies systems with the same solutions.
Level 5: Justifies why multiple equivalent systems have the same solution.

MAFS.912.A-REI.3.6 EOC Practice

Level 2: Solves systems of linear equations approximately from a graph; solves systems by elimination (ax + by = c and dx + ey = f) with integral coefficients, where only one equation requires multiplication; solves simple systems by substitution.
Level 3: Explains whether a system has one, infinite, or no solutions; solves systems by graphing or substitution (manipulation may be required) or elimination (ax + by = c and dx + ey = f), where both equations require multiplication.

MAFS.912.A-REI.4.12 EOC Practice

Level 2: Identifies a solution region when given the graph of a linear inequality.
Level 3: Graphs solutions of a system of two linear inequalities and identifies the solution set as a region satisfying both.

MAFS.912.A-CED.1.3 EOC Practice

Level 2: Identifies constraints that are constant values or simple linear equations/inequalities in a real-world context.
Level 3: Identifies variables; writes constraints as a system of linear inequalities or linear equations.

MAFS.912.A-REI.1.1 EOC Practice

Level 2: Chooses correct justifications in a two-step equation (ax + b = c).
Level 3: Chooses correct justifications in equations a(bx + c) = d or ax + b = cx + d, where a, b, c, and d are integers.

MAFS.912.A-REI.4.11 EOC Practice

Level 2: Determines an integral solution for $f(x) = g(x)$ given a graph or a table of a linear, quadratic, or exponential function in a mathematical or real-world context.
Level 3: Determines a solution to the nearest tenth for $f(x) = g(x)$ given a graph or a table.

MAFS.912.A-REI.4.10 EOC Practice

Level 2: Distinguishes between coordinates that are solutions to linear equations in two variables and those that are not.
Level 3: Distinguishes between coordinates that are solutions to quadratic or exponential equations in two variables and those that are not.

MAFS.912.A-SSE.2.3 EOC Practice

Level 2: Uses properties of exponents (one operation) and identifies the new base of an exponential function; explains the properties of the a in $y = ab^x$ in a real-world context.
Level 3: Factors the difference of two squares with a degree of 2 and trinomials with a degree of 2 and explains the properties of the zeros; completes the square when the leading coefficient is 1 and explains the properties of the maximum or minimum; uses the properties of exponents and names the new rate.

MAFS.912.A-SSE.1.1 EOC Practice

Level 2: Interprets coefficients or terms of exponential and quadratic expressions in a real-world context.
Level 3: Interprets factors of exponential and quadratic expressions.

MAFS.912.A-SSE.1.2 EOC Practice

Level 2: Works with expressions with only monomial factors and chooses the correct equivalent forms of a trinomial whose leading coefficient is 1.
Level 3: Factors the difference of two squares with a degree of 2, trinomials with a degree of 2 whose leading coefficient has no more than 4 factors.

FSA Algebra 1 EOC Review Functions and Modeling

MAFS.912.F-BF.2.3 EOC Practice

Level 2 identifies the graph, equation, or ordered pairs of a linear, quadratic, or exponential function with a vertical or horizontal shift.
Level 3 identifies the graph of a linear or quadratic function with a vertical or horizontal stretch or shrink; determines the value of k given a graph and its transformation; completes a table of values for a function that has a vertical or horizontal shift; graphs a function with a vertical or horizontal shift.

MAFS.912.F-IF.1.2 EOC Practice

Level 2 evaluates simple functions in their domains; evaluates functions for a simple quadratic, simple square root, and simple exponential
Level 3 evaluates quadratic, polynomial of degree 3, absolute value, square root, and exponential functions for inputs in their domain; interprets statements that use function notation in terms of a real-world context for simple quadratic, simple square root, and simple exponential

MAFS.912.F-IF.1.1 EOC Practice

Level 2 uses the definition of a function to identify whether a relation represented by a graph, a table, mapping, diagrams, or sets of ordered pairs is a function
Level 3 demonstrates understanding that a function’s domain is assigned to exactly one element of the range in function notation

MAFS.912.F-IF.2.5 EOC Practice

Level 2 interprets and identifies domains of linear functions when presented with a graph in a real-world context
Level 3 interprets and identifies domains of quadratic or exponential functions (with no translation) when presented with a graph; interprets and identifies the domain of a linear function from a context

MAFS.912.F-IF.2.4 EOC Practice

Level 2 identifies the key features (as listed in the standard, excluding periodicity) when given a linear, quadratic, or exponential graph in a real- world context
Level 3 interprets the key features (as listed in the standard, excluding periodicity) when given a table of a linear, quadratic, or exponential; interprets key features of a linear function given as a verbal description

MAFS.912.F-IF.3.9 EOC Practice

Level 2 compares properties of two linear functions, each represented a different way in a real-world or mathematical context
Level 3 compares the properties of two functions of the same type with different representations (such as a quadratic to a quadratic but using a table and an equation); differentiates between linear and quadratic functions that are represented using different representations (table, graph, or algebraic)

MAFS.912.F-IF.2.6 EOC Practice

Level 2 calculates the average rate of change of a function represented by a graph, table of values, or set of data in a real-world context (which may or may not be linear)
Level 3 interprets the average rate of change of a function represented by a graph, table of values, or set of data or a linear regression equation; calculates the average rate of change when given a quadratic or exponential function presented algebraically; interprets the y-intercept of a linear regression equation

MAFS.912.S-ID.3.7 EOC Practice

Level 2 calculates the average rate of change of a function represented by a graph, table of values, or set of data in a real-world context (which may or may not be linear)
Level 3 interprets the average rate of change of a function represented by a graph, table of values, or set of data or a linear regression equation; calculates the average rate of change when given a quadratic or exponential function presented algebraically; interprets the y-intercept of a linear regression equation

MAFS.912.F-IF.3.8 EOC Practice

Level 2 finds zeros of quadratics of the form $ax^2 + b = c$ , where a, b, and c are integers; interprets the zero contextually; real-world or mathematical contexts
Level 3 factors the difference of two squares with a degree of 2, and trinomials with a degree of 2 whose leading coefficient has up to 4 factors and interprets the zeros; completes the square when the leading coefficient is 1; interprets the extreme values

MAFS.912.A-APR.2.3 EOC Practice

Level 2 identifies the zeros of a function from a graph
Level 3 identifies the graph of a function given in factored form for a polynomial whose leading coefficient is a positive integer

MAFS.912.F-IF.3.7 EOC Practice

Level 2 identifies the graph of a linear, simple quadratic, or simple exponential function given its equation
Level 3 constructs the graph of a linear function, quadratic, or exponential given its equation; constructs a linear function using x- and y- intercepts

MAFS.912.F-LE.1.1 EOC Practice

Level 2 identifies relationships in tables and graphs that can be modeled with linear functions (constant rate of change) and with exponential functions (exponential rate of change)
Level 3 proves that linear functions grow by equal differences over equal intervals; proves that exponential functions grow by equal factors over equal intervals; identifies the constant rate or rate of growth or decay; chooses an explanation as to why a context may be modeled by a linear or exponential function

MAFS.912.F-LE.2.5 EOC Practice

Level 2 identifies which values are constant from a given context
Level 3 interprets the slope and x- and y-intercepts in a linear function; interprets the base value and vertical shifts in an exponential function of the form $f(x) = b^x + k$ , where b is an integer and k can equal zero; in a real-world context

MAFS.912.F-LE.1.2 EOC Practice

Level 2 constructs linear functions of arithmetic sequences when given a graph in a real-world context
Level 3 constructs linear functions, including arithmetic sequences, given a graph or input-output pairs; constructs exponential functions, including geometric sequences given a graph

MAFS.912.F-BF.1.1 EOC Practice

Level 2 recognizes an explicit expression that is linear for arithmetic sequences whose common difference is an integer in a real- world context
Level 3 writes an explicit function for arithmetic sequences and geometric sequences; writes a recursive formula for an arithmetic sequence; completes a table of calculations

MAFS.912.F-IF.1.3 EOC Practice

Level 2 identifies an arithmetic sequence as a linear function when the sequence is presented as a sequence
Level 3 identifies an arithmetic sequence as a linear function when the sequence is presented as a graph or table; identifies that a geometric sequence is a function when the sequence is presented as a sequence, graph, or table; recognizes the domain of a sequence as a set of integers or a subset of integers

MAFS.912.F-LE.1.3 EOC Practice

Level 2 given graphs or a linear and exponential function on the same coordinate plane, describes how the graphs compare; identifies which function is a linear function, an exponential function, or a quadratic function given in a real- world context by interpreting the functions’ graphs or tables
Level 3 identifies that an exponential growth function will eventually increase faster than a linear function or a quadratic function given in a real-world context by interpreting the functions’ tables

MAFS.912.N-RN.1.2 EOC Practice

Level 2: converts radical notation to rational exponent notation and vice versa
Level 3: identifies equivalent forms of expressions involving rational exponents and radical expressions where there is one operation

MAFS.912.N-RN.2.3 EOC Practice

Level 3: completes an informal proof to show that a sum or product of two rational numbers is rational, that the sum of a rational number and an irrational number is irrational, and that the product of a nonzero rational number and an irrational number is irrational

MAFS.912.N-RN.1.1 EOC Practice

Level 2: applies and explains properties of integer exponents
Level 3: defines rational exponents by extending the properties of integer exponents

MAFS.912.S-ID.1.1 EOC Practice

Level 2: identifies dot plots, histograms, and box plots for a given set of data in a real-world context

MAFS.912.S-ID.1.2 EOC Practice

Level 2: determines the mean/median and interquartile range of a single set of data from a visual representation (e.g., table)
Level 3: interprets the difference in mean, median, and interquartile range in the context of a data set and compares the similarities or differences in mean, median, and interquartile range between two sets of data; predicts the effect of an outlier on the shape and center of a data set; uses the empirical rule with data values that are one or more standard deviation about the mean

MAFS.912.S-ID.2.5 EOC Practice

Level 2: completes a two- way frequency table that requires completion of frequencies

MAFS.912.S-ID.2.6 EOC Practice

Level 2: creates a scatter plot of bivariate data
Level 3: identifies a linear, quadratic, or exponential regression model that fits the data; uses a regression equation to solve problems within the context; interprets correlation coefficient; calculates residuals

MAFS.912.S-ID.3.8 EOC Practice

Level 3: identifies a linear, quadratic, or exponential regression model that fits the data; uses a regression equation to solve problems within the context; interprets correlation coefficient; calculates residuals

MAFS.912.S-ID.3.9 EOC Practice

Level 3: identifies a linear, quadratic, or exponential regression model that fits the data; uses a regression equation to solve problems within the context; interprets correlation coefficient; calculates residuals