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Select the number of each type of objective: (Selecting Random will randomly generate all subtypes) Click on any title to see the free sample worksheet. (only the first few samples are free)
(Random) (2.A) Linear functions, equations, and inequalities. 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;
(Random) (2.B) Linear functions, equations, and inequalities. 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;
(Random) (2.C) Linear functions, equations, and inequalities. Write linear equations in two variables given a table of values, a graph, and a verbal description;
(Random) (2.E) Linear functions, equations, and inequalities. Write the equation of a line that contains a given point and is parallel to a given line;
(Random) (2.F) Linear functions, equations, and inequalities. Write the equation of a line that contains a given point and is perpendicular to a given line;
(Random) (2.G) Linear functions, equations, and inequalities. 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;
(Random) (2.H) Linear functions, equations, and inequalities. Write linear inequalities in two variables given a table of values, a graph, and a verbal description; and
(Random) (2.I) Linear functions, equations, and inequalities. Write systems of two linear equations given a table of values, a graph, and a verbal description.
(Random) (3.A) Linear functions, equations, and inequalities. 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);
(Random) (3.B) Linear functions, equations, and inequalities. Calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems;
(Random) (3.C) Linear functions, equations, and inequalities. 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;
(Random) (3.E) Linear functions, equations, and inequalities. 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;
(Random) (3.F) Linear functions, equations, and inequalities. Graph systems of two linear equations in two variableson the coordinate plane and determine the solutions if they exist;
(Random) (3.G) Linear functions, equations, and inequalities. Estimate graphically the solutions to systems of two linear equations with two variables in real-world problems;
(Random) (3.H) Linear functions, equations, and inequalities. Graph the solution set of systems of two linear inequalities in two variables on the coordinate plane.
(Random) (4.A) Linear functions, equations, and inequalities. Calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association;
(Random) (4.C) Linear functions, equations, and inequalities. Write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.
(Random) (5.A) Linear functions, equations, and inequalities. 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;
(Random) (5.B) Linear functions, equations, and inequalities. 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;
(Random) (5.C) Linear functions, equations, and inequalities. Solve systems of two linear equations with two variables for mathematical and real-world problems.
(Random) (6.A) Quadratic functions and equations. Determine the domain and range of quadratic functions and represent the domain and range using inequalities;
(Random) (6.B) Quadratic functions and equations. 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);
(Random) (7.A) Quadratic functions and equations. 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;
(Random) (7.B) Quadratic functions and equations. Describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions;
(Random) (7.C) Quadratic functions and equations. 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.
(Random) (8.A) Quadratic functions and equations. Solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula;
(Random) (8.B) Quadratic functions and equations. Write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.
(Random) (9.A) Exponential functions and equations. Determine the domain and range of exponential functions of the form f(x) = abx and represent the domain and range using inequalities;
(Random) (9.B) Exponential functions and equations. Interpret the meaning of the values of a and b in exponential functions of the form f(x) = abx in real-world problems;
(Random) (9.C) Exponential functions and equations. Write exponential functions in the form f(x) = abx (where b is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay;
(Random) (9.D) Exponential functions and equations. Graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems;
(Random) (9.E) Exponential functions and equations. Write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems.
(Random) (10.C) Number and algebraic methods. 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;
(Random) (10.D) Number and algebraic methods. Rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property;
(Random) (10.E) Number and algebraic methods. Factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two;
(Random) (10.F) Number and algebraic methods. 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.
(Random) (11.B) Number and algebraic methods. Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.
(Random) (12.A) Number and algebraic methods. Decide whether relations represented verbally, tabularly, graphically, and symbolically define a function;
(Random) (12.C) Number and algebraic methods. Identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes;
(Random) (12.D) Number and algebraic methods. Write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms;
