Algebra 2 TEKS math worksheets

Graph and write the inverse of a function.

Analyze the relationship between a function and its inverse.

Use composition to determine whether two functions are inverses.

Partial Finds the inverse. Does not verify it by composing the two functions.

Formulate systems, including three linear equations in three variables.

Solve a 3x3 linear system by Gaussian elimination, matrices or substitution.

Solve a system of one linear and one quadratic equation algebraically.

Judge the reasonableness of the solutions to a linear-quadratic system.

Partial Solves the system. Does not ask whether the answer is reasonable in context.

Formulate systems of at least two linear inequalities in two variables.

Partial Writes one inequality from its graph. Does not write a system of them.

Solve systems of two or more linear inequalities in two variables.

Determine possible solutions in the solution set of a system of inequalities.

Write the quadratic function through three given points.

Write the equation of a parabola from its vertex, focus and directrix.

Determine the effect on f(x) = √x of af(x), f(x) + d, f(bx) and f(x - c).

Partial Shifts, stretches and reflects √x among three other parent graphs. Does not ask about f(bx).

Transform ax² + bx + c into a(x - h)² + k to identify its attributes.

Solve quadratic and square root equations.

Identify extraneous solutions of square root equations.

Partial Checks each step of a solution. Does not ask which root the squaring introduced.

Determine the effect on the graphs of b^x and log_b(x) of a, c and d.

Partial Shifts, stretches and reflects x², x³, |x| and √x. Does not transform an exponential or logarithmic graph.

Formulate exponential and logarithmic equations that model real situations.

Rewrite an exponential equation as a logarithmic one and the reverse.

Solve exponential equations y = ab^x and single logarithmic equations.

Judge the reasonableness of a solution to a logarithmic equation.

Partial Solves the equation. Does not ask whether the answer is in the domain.

Analyze the effect on the graphs of x³ and ∛x of a, b, c and d.

Partial Shifts, stretches and reflects x³ among three other parent graphs. Does not use ∛x or ask about f(bx).

Solve cube root equations with real roots.

Partial Evaluates a cube root. Does not solve an equation containing one.

Analyze the effect on the graph of f(x) = |x| of a, b, c and d.

Partial Shifts, stretches and reflects |x| among three other parent graphs. Does not ask about f(bx).

Formulate absolute value linear equations.

Solve absolute value linear equations.

Solve absolute value linear inequalities.

Partial Solves the equation. Does not solve the inequality, whose answer is an interval.

Analyze the effect on the graph of f(x) = 1/x of a, b, c and d.

Partial Shifts, stretches and reflects x², x³, |x| and √x. Does not transform 1/x.

Formulate rational equations that model real-world situations.

Partial Simplifies a rational expression. Does not build an equation from a situation.

Solve rational equations with real solutions.

Partial Simplifies the expression. Does not solve an equation containing it.

Judge the reasonableness of a solution to a rational equation.

Partial Solves the equation, and the answer key checks that no denominator is zero. Does not ask whether a root is reasonable.

Formulate and solve equations involving inverse variation.

Partial Solves direct proportion. Does not cover inverse variation.

Add, subtract and multiply complex numbers.

Add, subtract and multiply polynomials.

Determine the quotient of a degree-three or degree-four polynomial.

Determine the linear factors of a degree-three or degree-four polynomial.

Partial Divides the polynomial and applies the Remainder Theorem. Does not go on to list every linear factor.

Factor a polynomial, including the sum and difference of two cubes.

Partial Factors a difference of two squares. Does not cover the sum or difference of two cubes.

Add, subtract, multiply and divide rational expressions.

Partial Multiplies and divides rational expressions. Does not add or subtract them.

Rewrite radical expressions containing variables in equivalent forms.

Solve equations involving rational exponents.

Write the domain and range in interval, inequality and set notation.

Predict and make judgments from data using linear, quadratic and exponential models.

Partial Uses a linear model to predict. Does not cover quadratic or exponential ones.