Test Structure:
 Part 1: Knowledge – vocabulary, theorems, etc. – no notes
 Part 2: Application – notes and books may be used
Vocabulary: algebraic expression variable term coefficient constant like terms literal equation compound inequality absolute value
Be able to…
 Express a pattern using an algebraic expression
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Classify numbers as real numbers, whole numbers, integers, rational numbers, irrational numbers
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Know the following properties of real numbers: o commutative property of addition and multiplication o associative property of addition and multiplication o identity property of addition and multiplication o inverse property of addition and multiplication o distributive property

Evaluate an algebraic expression
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Simplify an algebraic expression
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Solve one-step and multi-step equations, including those with no or infinite solutions
 Solve a literal equation for a variable in terms of another variable
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Write, solve and graph inequalities and compound inequalities on a number line, including those with no solutions or all real numbers as solutions
 Solve absolute value equations and inequalities and check for extraneous solutions
Vocabulary: domain range function independent variable dependent variable direct variation constant of variation slope linear function y-intercept x-intercept slope-intercept form correlation absolute value function axis of symmetry vertex linear inequality boundary
Be able to…
 Represent relations using ordered pairs, mapping diagrams, tables, and graphs

Identify functions
 Write and evaluate a function using function notation
 identify direct variation from tables and equations
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Write, solve, and graph direct variations
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Calculate slope and identify zero and undefined slopes.
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Write, graph, and solve linear equations in slope-intercept form, point-slope form, and standard form

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Identify and write equations for parallel and perpendicular lines using slope
 Create a scatter plot, use linear regression to determine a line of best fit, and use that line to make predictions
 Apply transformations (translations, reflections, stretches and/or compressions) to functions and write the equation of the transformed function
 Graph absolute value functions as transformations of the parent function f(x) = |x|
 Graph linear inequalities and absolute value inequalities
Vocabulary: system of equations inconsistent system consistent system independent system dependent system constraint feasible region objective function
Be able to…

Write and graph systems of linear equations and linear inequalities
 Classify systems of linear equations by the number of solutions
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Solve systems of linear equations using substitution, elimination, and equivalent systems
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Solve systems of linear inequalities by graphing
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Use linear programming to find a minimum or maximum value given a set of constraints
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Solve systems in three variables using substitution, elimination, and equivalent systems

Solve systems of equations using a matrix
Vocabulary: parabola vertex form axis of symmetry minimum/maximum value standard form perfect square trinomial difference of two squares
Zero-Product Property
Quadratic Formula discriminant imaginary unit (i)
Be able to…

Graph quadratic functions as transformations of the parent function f(x) = x 2

Given a quadratic function in vertex form, identify the vertex, axis of symmetry, maximum or minimum value, domain, and range
 Write a quadratic equation in vertex form
 Given a quadratic equation in standard form, identify the vertex using a calculator or algebraically
 Graph quadratic functions in standard form
 Convert standard form to vertex form or the opposite
 Write an equation for a parabola algebraically or using quadratic regression
 Find common and binomial factors of quadratic equations, identifying special quadratic expressions when appropriate
 Solve quadratic equations by graphing or by factoring
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Rewrite and solve quadratic equations by completing the square
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Solve quadratic equations, including complex number solutions, using the Quadratic Formula

Use the discriminant to determine the number of solutions for a quadratic equation

Simplify numbers using i and perform operations on complex numbers

Solve and graph systems of linear and quadratic equations and systems of quadratic inequalities

Vocabulary: monomial degree of a monomial polynomial degree of a polynomial standard form of a polynomial turning point end behavior factor theorem multiplicity relative maximum/minimum sum or difference of cubes
Be able to…
 Classify polynomials according to degree and number of terms
 Graph polynomial functions and describe end behavior and number of turning points
 Write a polynomial in factored form
 Find the roots (both real number and complex number) of a polynomial function
 Write a polynomial function from its zeros
 Solve polynomial equations by factoring or graphing