Algebra 2 TEKS math worksheets
34 of 48 Algebra 2 student expectations with a printable sheet · Ages 15–17
Attributes of functions and their inverses
Systems of equations and inequalities
Quadratic and square root functions, equations, and inequalities
- 2A.4B
Write the equation of a parabola from its vertex, focus and directrix.
- 2A.4C
Determine the effect on f(x) = √x of af(x), f(x) + d, f(bx) and f(x - c).
Partial Translates the graph. Does not stretch it, and the parent function is linear rather than a square root.
- 2A.4D
Transform ax² + bx + c into a(x - h)² + k to identify its attributes.
- 2A.4F
Solve quadratic and square root equations.
- 2A.4G
Identify extraneous solutions of square root equations.
Partial Checks each step of a solution. Does not ask which root the squaring introduced.
Exponential and logarithmic functions and equations
- 2A.5A
Determine the effect on the graphs of b^x and log_b(x) of a, c and d.
Partial Translates a linear graph. Does not transform an exponential or logarithmic one.
- 2A.5B
Formulate exponential and logarithmic equations that model real situations.
- 2A.5C
Rewrite an exponential equation as a logarithmic one and the reverse.
- 2A.5D
Solve exponential equations y = ab^x and single logarithmic equations.
- 2A.5E
Judge the reasonableness of a solution to a logarithmic equation.
Partial Solves the equation. Does not ask whether the answer is in the domain.
Cubic, cube root, absolute value and rational functions, equations, and inequalities
- 2A.6A
Analyse the effect on the graphs of x³ and ∛x of a, b, c and d.
Partial Translates a linear graph. Does not transform a cubic or cube root one.
- 2A.6B
Solve cube root equations with real roots.
Partial Evaluates a cube root. Does not solve an equation containing one.
- 2A.6C
Analyse the effect on the graph of f(x) = |x| of a, b, c and d.
Partial Translates a linear graph. Does not transform an absolute value one.
- 2A.6D
Formulate absolute value linear equations.
- 2A.6E
Solve absolute value linear equations.
- 2A.6F
Solve absolute value linear inequalities.
Partial Solves the equation. Does not solve the inequality, whose answer is an interval.
- 2A.6G
Analyse the effect on the graph of f(x) = 1/x of a, b, c and d.
Partial Translates a linear graph. Does not transform a reciprocal one.
- 2A.6H
Formulate rational equations that model real-world situations.
Partial Simplifies a rational expression. Does not build an equation from a situation.
- 2A.6I
Solve rational equations with real solutions.
Partial Simplifies the expression. Does not solve an equation containing it.
- 2A.6L
Formulate and solve equations involving inverse variation.
Partial Solves direct proportion. Does not cover inverse variation.
Number and algebraic methods
- 2A.7A
Add, subtract and multiply complex numbers.
- 2A.7B
Add, subtract and multiply polynomials.
- 2A.7C
Determine the quotient of a degree-three or degree-four polynomial.
- 2A.7D
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.
- 2A.7E
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.
- 2A.7F
Add, subtract, multiply and divide rational expressions.
- 2A.7G
Rewrite radical expressions containing variables in equivalent forms.
- 2A.7H
Solve equations involving rational exponents.
Data
- 2A.8C
Predict and make judgements from data using linear, quadratic and exponential models.
Partial Uses a linear model to predict. Does not cover quadratic or exponential ones.
Not a worksheet
These expectations have no sheet, for two different reasons. Listing them is the point — a catalog that showed only the hits would say this grade is fuller than it is.
2A.2A — Graph the square root, reciprocal, cubic, cube root, exponential, absolute value and log parent functions.
Seven parent graphs drawn and analysed as a set. The engine writes questions about one function at a time and never asks for the family.
2A.3A — Formulate systems, including three linear equations in three variables.
Three equations in three unknowns. Our systems sheets are 2x2, and a 3x3 solved by hand is a page of working rather than a question.
2A.3B — Solve a 3x3 linear system by Gaussian elimination, matrices or substitution.
Gaussian elimination on a 3x3 — see 2A.3A.
2A.3E — Formulate systems of at least two linear inequalities in two variables.
A two-variable inequality's answer is a shaded region — see A.2H.
2A.3F — Solve systems of two or more linear inequalities in two variables.
A shaded region — see A.2H.
2A.3G — Determine possible solutions in the solution set of a system of inequalities.
A shaded region — see A.2H.
2A.4A — Write the quadratic function through three given points.
Fitting a parabola to three points is a 3x3 system in a and b and c — see 2A.3A.
2A.4E — Formulate quadratic and square root equations from a table of data.
The expectation names the technology: a regression or a correlation coefficient computed with a calculator. A printed sheet cannot ask for the tool to be used.
2A.4H — Solve quadratic inequalities.
The answer is an interval on the line rather than a value. The engine's quadratic sheets all ask for the roots.
2A.6J — Judge the reasonableness of a solution to a rational equation.
Checking a root against the excluded values. Our rational sheets simplify rather than solve, so there is no root to check.
2A.6K — Determine asymptotic restrictions on the domain and write them in interval notation.
Domain and range as a stated set — see A.2A — with asymptotes on top of it.
2A.7I — Write the domain and range in interval, inequality and set notation.
Domain and range as a stated set — see A.2A.
2A.8A — Select the appropriate model from linear, quadratic and exponential.
Choosing between three model families for one data set. Each of our modelling sheets names its family in the instruction.
2A.8B — Use regression through technology to fit linear, quadratic and exponential functions.
The expectation names the technology: a regression or a correlation coefficient computed with a calculator. A printed sheet cannot ask for the tool to be used.