Keystone+Algebra+I

toc
 * A1.1.1 Operations with Real Numbers and Expressions **
 * **A1.1.1.1.1** Compare and/or order any real numbers. __Note__: Rational and irrational may be mixed.
 * [[file:shamokinmath/ComparingAndOrderingRealNumbers.pdf|Comparing and Ordering Real Numbers]]
 * [[file:shamokinmath/ComparingAndOrderingOpenEnded.pdf|Comparing and Ordering Open-Ended Response Questions]]
 * **A1.1.1.1.2**Simplify square roots.
 * [[file:shamokinmath/Keystone Algebra 1 Simplifying Radicals.pdf|Simplifying Radicals]]
 * [[file:shamokinmath/Keystone Algebra 1 - Review Square Roots, GCF, and LCM (Radicals).pdf|Review Square Roots, GCF, and LCM (Radicals)]]
 * [[file:shamokinmath/Keystone Algebra 1 - Simplifying Radicals Revisited.pdf|Simplifying Radicals Revisited]]
 * [[file:shamokinmath/Keystone Algebra 1 - Adding and Subtracting Radicals Revisited.pdf|Adding and Subtracting Radicals Revisited]]
 * [[file:shamokinmath/Keystone Algebra 1 - Simplifying and Combining Radicals Revisited.pdf|Simplifying and Combining Radicals Revisited]]
 * [[file:shamokinmath/Keystone Algebra 1 - Multiplying Radicals Revisited.pdf|Multiplying Radicals Revisited]]
 * [[file:shamokinmath/Keystone Algebra 1 Simplifying Multiplying Radicals Practice Quiz.pdf|Simplifying & Multiplying Radicals Practice Quiz]]
 * [[file:shamokinmath/Keystone Algebra 1 - Rationalizing Radical Expressions.pdf|Rationalizing Radical Expressions]]
 * [[file:shamokinmath/Keystone Algebra 1 - Everything Radicals Review.pdf|Everything Radicals Review]]
 * [[file:shamokinmath/A11101PR.pdf|11-1 Practice (82 Problems)]]
 * [[file:shamokinmath/A11101AP.pdf|11-1 Practice (48 Problems)]]
 * [[file:shamokinmath/A111SFAN.pdf|11-1 Answers]]
 * **A1.1.1.2.1**Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
 * [[file:shamokinmath/Keystone Algebra Finding GCF of Monomials.pdf|GCF Worksheet]]
 * [[file:shamokinmath/Keystone Algebra 1 - Review Square Roots, GCF, and LCM (GCF and LCM).pdf|Review Square Roots, GCF, and LCM (GCF and LCM)]]
 * [[file:shamokinmath/Keystone Algebra 1 - GCF Revisited.pdf|GCF Revisited]]
 * [[file:shamokinmath/Keystone Algebra 1 Finding LCM of Monomials.pdf|LCM Worksheet]]
 * [[file:shamokinmath/Keystone Algebra 1 - LCM Revisited.pdf|LCM Revisited]]
 * **A1.1.1.3.1**Simplify/evaluate expressions involving properties/laws of exponents, roots, and/ or absolute values to solve problems. Note: Exponents should be integers from -10 to 10.
 * [[file:shamokinmath/Keystone Algebra 1 Simplifying Exponential Expressions.pdf|Properties of Exponents Practice]]
 * [[file:shamokinmath/Exponent Properties Practice.pdf|More Exponent Properties Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 - Exponent Properties Revisited.pdf|Exponent Properties Revisited]]
 * [[file:shamokinmath/Keystone Algebra 1 Simplifying Absolute Value Problems.pdf|Simplifying Absolute Value Problems Practice]]
 * [[file:shamokinmath/Absolute Value Practice.pdf|Absolute Value Practice Problems]]
 * [[file:shamokinmath/Keystone Algebra 1 - Absolute Value Equations Revisited.pdf|Absolute Value Equations Revisited]]
 * **A1.1.1.4.1** Use estimation to solve problems.
 * **A1.1.1.5.1** Add, subtract, and/or multiply polynomial expressions (express answers in simplest form). __Note__: Nothing larger than a binomial multiplied by a trinomial.
 * [[file:shamokinmath/Keystone Algebra 1 Polynomial Addition and Subtraction.pdf|Polynomial Addition and Subtraction]]
 * [[file:shamokinmath/Keystone Algebra 1 Multiplying Polynomials.pdf|Multiplying Monomials]]
 * [[file:shamokinmath/Keystone Algebra 1 Multiplying Polynomials.pdf|Multiplying Polynomials]]
 * [[file:shamokinmath/Keystone Algebra 1 Polynomial Practice.pdf|Polynomial Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Review for TEST 1.pdf|Review for TEST 1]], [[file:shamokinmath/Keystone Algebra 1 Review for TEST 1 GCF and LCM.pdf|Review for TEST 1 GCF and LCM]]
 * [[file:shamokinmath/Keystone Algebra 1 - Polynomial Operations Revisited.pdf|Polynomial Operations Revisited]]
 * [[file:shamokinmath/Keystone Algebra 1 - Expanding Binomials.pdf|Expanding Binomials]]
 * **A1.1.1.5.2** Factor algebraic expressions, including difference of squares and trinomials. __Note__: Trinomials are limited to the form ax^2+bx+c where a is equal to 1 after factoring out all monomial factors.
 * [[file:shamokinmath/Keystone Algebra 1 Factoring Expressions Practice.pdf|Factoring Expressions Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Factoring Expressions Homework.pdf|Factoring Expressions Homework]]
 * [[file:shamokinmath/Keystone Algebra 1 Mixed Review Worksheet.pdf|Mixed Review Worksheet]]
 * [[file:shamokinmath/Keystone Algebra 1 Additional Factoring Techniques Homework.pdf|Additional Factoring Techniques Homework]]
 * [[file:shamokinmath/Factoring Out GCF.pdf|Factoring Out GCF]]
 * [[file:shamokinmath/Keystone Algebra 1 - Factoring Out GCF Practice.pdf|Factoring Out GCF Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 - Factoring Revisited 1.pdf|Factoring Revisited 1]]
 * [[file:shamokinmath/Keystone Algebra 1 - Factoring Revisited 2.pdf|Factoring Revisited 2]]
 * [[file:shamokinmath/Keystone Algebra 1 - Factoring by Grouping Revisited.pdf|Factoring by Grouping Revisited]]
 * [[file:shamokinmath/Keystone Algebra 1 - Factoring Sums and Differences of Cubes.pdf|Factoring Sums and Differences of Cubes]]
 * [[file:shamokinmath/Algebra 2 - Factoring Revisited Practice Quiz.pdf|Factoring Revisited Practice Quiz]]
 * [[file:shamokinmath/Keystone Algebra 1 - Factoring Revisited Practice Test.pdf|Factoring Revisited Practice Test]]
 * **A1.1.1.5.3**Simplify/reduce a rational algebraic expression.
 * [[file:shamokinmath/Keystone Algebra 1 Simplifying Rational Expressions Practice.pdf|Simplifying Rational Expressions Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Simplifying Rational Expressions Homework.pdf|Simplifying Rational Expressions Homework]]
 * [[file:shamokinmath/Keystone Algebra 1 - Simplifying Rational Expressions Revisited.pdf|Simplifying Rational Expressions Revisited]]
 * [[file:shamokinmath/Keystone Algebra 1 - Multiplying and Dividing Rational Expressions.pdf|Multiplying and Dividing Rational Expressions]]
 * [[file:shamokinmath/Keystone Algebra 1 - Rational Expression Mixed Review.pdf|Rational Expression Mixed Review]]
 * [[file:shamokinmath/Keystone Algebra 1 - Radicals and Rational Expressions Practice Quiz.pdf|Radicals and Rational Expressions Practice Quiz]]
 * [[file:shamokinmath/Keystone Algebra 1 Factoring and Rational Expressions Practice Quiz.pdf|Factoring and Rational Expressions Practice Quiz]]
 * [[file:shamokinmath/Keystone Algebra 1 - Fun Rational Expressions.pdf|Fun Rational Expressions]]
 * [[file:shamokinmath/Keystone Algebra 1 - Adding and Subtracting Rational Expressions 1.pdf|Adding and Subtracting Rational Expressions #1]]
 * [[file:shamokinmath/Keystone Algebra 1 - Rational Expressions TEST Practice.pdf|Rational Expressions TEST Practice]]

A1.1.2 Linear Equations

 * **A1.1.2.1**Write, solve, and/or apply a linear equation (including problem situations).
 * [[file:shamokinmath/Keystone Algebra 1 Solving and Writing Linear Equations Practice.pdf|Solving and Writing Linear Equations Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Solving and Writing Linear Equations Homework.pdf|Solving and Writing Linear Equations Homework]]
 * [[file:shamokinmath/Keystone Algebra 1 Multi-Step Equations Practice.pdf|Multi-Step Equations Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 - Parallel and Perpendicular Lines.pdf|Parallel and Perpendicular Lines]]
 * [[file:shamokinmath/Keystone Algebra 1 - Solving Absolute Value Equations.pdf|Keystone Algebra 1 - Solving Absolute Value Equations]]
 * **A1.1.2.1.2** Use and/or identify an algebraic property to justify any step in an equation solving process. __Note__: Linear equations only.
 * [[file:shamokinmath/Keystone Algebra 1 Algebraic Properties Practice.pdf|Algebraic Properties Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Solving Linear Equations and Properties Quiz.pdf|Solving Linear Equations and Properties Practice Quiz]]
 * **A1.1.2.2.1**Write and/or solve a system of linear equations (including problem situations) using graphing, substitution, and/or elimination. Note: Limit systems to two linear equations
 * [[file:shamokinmath/Keystone Algebra 1 Finding Slope.pdf|Finding Slope]]
 * [[file:shamokinmath/Keystone Algebra 1 Graphing Linear Equations.pdf|Graphing Linear Equations]]
 * [[file:shamokinmath/Keystone Algebra 1 Graphing Linear Equations Homework.pdf|Graphing Linear Equations Homework]]
 * [[file:shamokinmath/Keystone Algebra 1 - Writing Equations for Lines.pdf|Writing Equations for Lines]]
 * [[file:shamokinmath/Keystone Algebra 1 Solving Systems of Equations by Graphing.pdf|Solving Systems by Graphing Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Solving Systems of Equations by Graphing Homework.pdf|Solving Systems by Graphing Homework]]
 * [[file:shamokinmath/Keystone Algebra 1 Cumulative Mixed Review Practice.pdf|Cumulative Mixed Review Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Solving Systems by Substitution Practice.pdf|Solving Systems by Substitution Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Solving Systems by Substitution Homework.pdf|Solving Systems by Substitution Homework]]
 * [[file:shamokinmath/Keystone Algebra 1 Solving Systems by Elimination Practice.pdf|Solving Systems by Elimination Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Systems of Equations Word Problems 1.pdf|Systems of Equations Word Problems 1]]
 * [[file:shamokinmath/Keystone Algebra 1 Systems of Equations Word Problems 2.pdf|Systems of Equations Word Problems 2]]
 * [[file:shamokinmath/Keystone Algebra 1 Review Linear Equations and Word Problems.pdf|Review: Linear Equations and Word Problems]]
 * [[file:shamokinmath/Keystone Algebra 1 - Solving Systems by Graphing Revisited.pdf|Solving Systems by Graphing Revisited]]
 * [[file:shamokinmath/Keystone Algebra 1 - Solving Systems by Elimination Revisited.pdf|Solving Systems by Elimination Revisited]]
 * [[file:shamokinmath/Keystone Algebra 1 - Solving Systems by Substitution Revisited.pdf|Solving Systems by Substitution Revisited]]
 * [[file:shamokinmath/Keystone Algebra 1 - System of Equations Word Problems Revisited.pdf|Systems of Equations Revisited]]
 * [[file:shamokinmath/Keystone Algebra 1 - Exponent Properties and Word Problems Review.pdf|Exponent Properties and Systems Word Problems Review]]
 * Bonus Topic: [[file:shamokinmath/Keystone Algebra 1 - Systems of 3 Variables.pdf|Systems of 3 Variables]]
 * [[file:shamokinmath/Systems of 3 Equations Number 2.pdf|Systems of 3 Equations Number 2]]
 * **A1.1.2.2.2** Interpret solutions to problems in the context of the problem situation. __Note__: Limit systems to two linear equations.

A1.1.3 Linear Inequalities

 * **A1.1.3.1.1**Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).
 * [[file:shamokinmath/Keystone Algebra 1 Solving Compound Inequalities Practice.pdf|Compound Inequalities Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Solving Compound Inequalities Homework.pdf|Compound Inequalities Homework]]
 * [[file:shamokinmath/Keystone Algebra 1 Absolute Value Inequalities Practice.pdf|Absolute Value Inequalities Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Absolute Value Inequalities Homework.pdf|Absolute Value Inequalities Homework]]
 * [[file:shamokinmath/Keystone Algebra 1 - Solving Compound Inequalities Revisited.pdf|Solving Compound Inequalities Revisited]]
 * [[file:shamokinmath/Keystone Algebra 1 - Practice for Inequalities Test.pdf|Practice for Inequalities Test]]
 * [[file:shamokinmath/Keystone Algebra 1 - Absolute Value Inequalities Revisited.pdf|Absolute Value Inequalities Revisited]]
 * **A1.1.3.1.2**Identify or graph the solution set to a linear inequality on a number line.
 * [[file:shamokinmath/Keystone Algebra 1 Solving and Graphing Inequalities Practice.pdf|Inequalities Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Solving and Graphing Inequalities Homework.pdf|Inequalities Homework]]
 * **A1.1.3.2.1** Write and/or solve a system of linear inequalities using graphing. __Note__: Limit systems to two linear inequalities.
 * [[file:shamokinmath/Keystone Algebra 1 Systems of Inequalities Practice.pdf|Systems of Inequalities Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Systems of Inequalities Homework.pdf|Systems of Inequalities Homework]]
 * [[file:shamokinmath/Keystone Algebra 1 Systems of Equations and Inequalities Practice.pdf|Systems of Equations and Inequalities Mixed Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Equations and Inequalities Mixed Practice.pdf|Equations and Inequalities Mixed Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 - Graphing Linear Inequalities Revisited.pdf| Graphing Linear Inequalities Revisited]]
 * [[file:shamokinmath/Keystone Algebra 1 - Systems of Linear Inequalities Revisited.pdf|Systems of Linear Inequalities Revisited]]
 * [[file:shamokinmath/Day13_LinearProgrammingWorksheet3.pdf|Linear Programming Practice]]
 * [[file:shamokinmath/Linear Programming Word Problems.pdf|Linear Programming Word Problems]]
 * [[file:shamokinmath/6_9 linear programming problems.pdf|More Linear Programming Word Problems]]
 * [[file:shamokinmath/Linear Programming Problems Worksheet 2011.pdf|And Even More Linear Programming Problems]]

A1.1.2.1 Functions

 * **A1.2.1.1.1**Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.
 * [[file:shamokinmath/Keystone Algebra 1 Arithmetic Sequences.pdf|Arithmetic Sequences Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Arithmetic Sequences More Practice.pdf|Arithmetic Sequences More Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Geometric Sequences.pdf|Geometric Sequences Practice]]
 * [[file:shamokinmath/Keystone Algebra 1 Arith and Geo Seq Review.pdf|Arithmetic and Geometric Sequences Review]]
 * [[file:shamokinmath/Keystone Algebra 1 Sequences.pdf|General Sequences Practice]]
 * **A1.2.1.1.2**Determine whether a relation is a function, given a set of points or a graph.
 * [[file:shamokinmath/relation-function-worksheet.pdf|Relation and Function Practice]]
 * **A1.2.1.1.3** Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).
 * [[file:shamokinmath/Determining Domain Range From Graph.pdf|Determining Domain and Range From Graph]]
 * **A1.2.1.2.1** Create, interpret, and/or use the equation, graph, or table of a linear function.
 * **A1.2.1.2.2** Translate from one representation of a linear function to another (i.e., graph, table, and equation).

A1.2.2 Coordinate Geometry
Final Exam Reviews
 * **A1.2.2.1.1** Identify, describe, and/or use constant rates of change.
 * **A1.2.2.1.2** Apply the concept of linear rate of change (slope) to solve problems.
 * **A1.2.2.1.3**Write or identify a linear equation when given the graph of line, two points on the line, or the slope and a point on the line. Linear equation may be in point-slope, standard, and/or slope-intercept form.
 * [[file:shamokinmath/Keystone Algebra 1 - Writing Linear Equations.pdf|Writing Linear Equations]]
 * [[file:shamokinmath/Keystone Algebra 1 - Linear Equations Practice for Test.pdf|Linear Equations Practice for Test]]
 * **A1.2.2.2.1**Draw, identify, find, and/or write an equation for a line of best fit for a scatter plot.
 * [[file:shamokinmath/line of best fit.pdf|Line of Best Fit Practice Worksheet]]
 * [[file:shamokinmath/Line_of_Best_Fit_Worksheet.pdf|Line of Best Fit Worksheet #2]]
 * **A1.2.3.1.1**Calculate and/or interpret the range, quartiles, and interquartile range of data.
 * [[file:shamokinmath/median-quartiles-medium.pdf|Quartiles Worksheet]]
 * [[file:shamokinmath/Keystone Algebra 1 Mean, Median, Mode, Range, Quartiles Homework.pdf|Mean, Median, Mode, Range, Quartiles Homework]]
 * [[file:shamokinmath/Box-and-Whisker-wksh-2.pdf|Box and Whisker Plot Worksheet]]
 * [[file:shamokinmath/Box and Whisker Practice for Test.pdf|Box and Whisker Practice for Test]]
 * **A1.2.3.2.1** Estimate or calculate to make predictions based on a circle, line, bar graph, measures of central tendency, or other representations.
 * **A1.2.3.2.2**Analyze data, make predictions, and/or answer questions based on displayed data (box-and-whisker plots, stem-and-leaf plots, scatter plots, measures of central tendency, or other representations).
 * [[file:shamokinmath/DAREADGR.pdf|Reading and Understanding Graphs]]
 * [[file:shamokinmath/DAREADAR.pdf|Reading and Understanding Graphs Practice]]
 * [[file:shamokinmath/DAFTLPHS.pdf|Frequency Tables, Line Plots, and Histograms]]
 * [[file:shamokinmath/DAFTLPPR.pdf|Frequency Tables, Line Plots, and Histograms Practice]]
 * [[file:shamokinmath/DACIRGRP.pdf|Circle Graphs]]
 * [[file:shamokinmath/DACIRGPR.pdf|Circle Graphs Practice]]
 * [[file:shamokinmath/stem-and-leaf-plot-worksheet.pdf|Stem and Leaf Plots Worksheet]]
 * [[file:shamokinmath/DASTLEAF.pdf|Stem-and-Leaf Plots]]
 * [[file:shamokinmath/DASTEMPR.pdf|Stem-and-Leaf Plots Practice]]
 * **A1.2.3.3.1**Find probabilities for compound events (e.g., find the probability of red and blue, find the probability of red or blue) and represent as a fraction, decimal, or percent.
 * [[file:shamokinmath/DATHPROB.pdf|Theoretical Probability]]
 * [[file:shamokinmath/DATPRBPR.pdf|Theoretical Probability Practice]]
 * [[file:shamokinmath/DASAMPSP.pdf|Sample Spaces]]
 * [[file:shamokinmath/DASMPSPR.pdf|Sample Space Practice]]
 * [[file:shamokinmath/DACNTOUT.pdf|Counting Outcomes]]
 * [[file:shamokinmath/DACNTOPR.pdf|Counting Outcomes Practice]]
 * [[file:shamokinmath/DACTPROB.pdf|Counting Outcomes and Probability]]
 * [[file:shamokinmath/DACPROPR.pdf|Counting Outcomes and Probability Practice]]
 * [[file:shamokinmath/DAINDEVE.pdf|Independent and Dependent Events]]
 * [[file:shamokinmath/DAINEVP1.pdf|Independent and Dependent Events Practice 1]]
 * [[file:shamokinmath/DAINEVP2.pdf|Independent and Dependent Events Practice 2]]
 * [[file:shamokinmath/DAPERMUT.pdf|Permutations]]
 * [[file:shamokinmath/DAPERMPR.pdf|Permutations Practice]]
 * [[file:shamokinmath/DACOMBNA.pdf|Combinations]]
 * [[file:shamokinmath/DACOMBP1.pdf|Combinations Practice]]
 * [[file:shamokinmath/DACOMBP2.pdf|Combinations and Permutations Practice]]
 * [[file:shamokinmath/Compound Probability.pdf|Compound Probability Worksheet]]
 * [[file:shamokinmath/Probability_WS_6_Compound_.pdf|Compound Probability (Worksheet 6)]]
 * [[file:shamokinmath/Probability_WS_7_(Compound).docx.pdf|Compound Probability (Worksheet 7)]]
 * [[file:shamokinmath/Keystone Practice for Final Exam 1.pdf|Keystone Practice for Final Exam 1]]
 * [[file:shamokinmath/Keystone Practice for Final Exam 2.pdf|Keystone Practice for Final Exam 2]]
 * [[file:shamokinmath/Keystone Practice for Final Exam 3.pdf|Keystone Practice for Final Exam 3]]
 * [[file:shamokinmath/Keystone Practice for Final Exam 4.pdf|Keystone Practice for Final Exam 4]]
 * [[file:shamokinmath/Keystone Practice for Final Exam 5.pdf|Keystone Practice for Final Exam 5]]

Additional Resources
Keystone Algebra 1 Review: For PDE's complete guide to the Keystone Exam for Algebra 1, click here:.