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Keystone Algebra I
A1.1.1 Operations with Real Numbers and Expressions
Compare and/or order any real numbers.
: Rational and irrational may be mixed.
Comparing and Ordering Real Numbers
Comparing and Ordering Open-Ended Response Questions
Simplify square roots.
Review Square Roots, GCF, and LCM (Radicals)
Simplifying Radicals Revisited
Adding and Subtracting Radicals Revisited
Simplifying and Combining Radicals Revisited
Multiplying Radicals Revisited
Simplifying & Multiplying Radicals Practice Quiz
Rationalizing Radical Expressions
Everything Radicals Review
11-1 Practice (82 Problems)
11-1 Practice (48 Problems)
Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.
Review Square Roots, GCF, and LCM (GCF and LCM)
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.
Properties of Exponents Practice
More Exponent Properties Practice
Exponent Properties Revisited
Simplifying Absolute Value Problems Practice
Absolute Value Practice Problems
Absolute Value Equations Revisited
Use estimation to solve problems.
Add, subtract, and/or multiply polynomial expressions (express answers in simplest form).
: Nothing larger than a binomial multiplied by a trinomial.
Polynomial Addition and Subtraction
Review for TEST 1
Review for TEST 1 GCF and LCM
Polynomial Operations Revisited
Factor algebraic expressions, including difference of squares and trinomials.
: Trinomials are limited to the form ax^2+bx+c where a is equal to 1 after factoring out all monomial factors.
Factoring Expressions Practice
Factoring Expressions Homework
Mixed Review Worksheet
Additional Factoring Techniques Homework
Factoring Out GCF
Factoring Out GCF Practice
Factoring Revisited 1
Factoring Revisited 2
Factoring by Grouping Revisited
Factoring Sums and Differences of Cubes
Factoring Revisited Practice Quiz
Factoring Revisited Practice Test
Simplify/reduce a rational algebraic expression.
Simplifying Rational Expressions Practice
Simplifying Rational Expressions Homework
Simplifying Rational Expressions Revisited
Multiplying and Dividing Rational Expressions
Rational Expression Mixed Review
Radicals and Rational Expressions Practice Quiz
Factoring and Rational Expressions Practice Quiz
A1.1.2 Linear Equations
Write, solve, and/or apply a linear equation (including problem situations).
Solving and Writing Linear Equations Practice
Solving and Writing Linear Equations Homework
Multi-Step Equations Practice
Parallel and Perpendicular Lines
Keystone Algebra 1 - Solving Absolute Value Equations
Use and/or identify an algebraic property to justify any step in an equation solving process.
: Linear equations only.
Algebraic Properties Practice
Solving Linear Equations and Properties Practice Quiz
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
Graphing Linear Equations
Graphing Linear Equations Homework
Solving Systems by Graphing Practice
Solving Systems by Graphing Homework
Cumulative Mixed Review Practice
Solving Systems by Substitution Practice
Solving Systems by Substitution Homework
Solving Systems by Elimination Practice
Systems of Equations Word Problems 1
Systems of Equations Word Problems 2
Review: Linear Equations and Word Problems
Solving Systems by Graphing Revisited
Solving Systems by Elimination Revisited
Solving Systems by Substitution Revisited
Systems of Equations Revisited
Exponent Properties and Systems Word Problems Review
Interpret solutions to problems in the context of the problem situation.
: Limit systems to two linear equations.
A1.1.3 Linear Inequalities
Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).
Compound Inequalities Practice
Compound Inequalities Homework
Absolute Value Inequalities Practice
Absolute Value Inequalities Homework
Solving Compound Inequalities Revisited
Practice for Inequalities Test
Absolute Value Inequalities Revisited
Identify or graph the solution set to a linear inequality on a number line.
Write and/or solve a system of linear inequalities using graphing.
: Limit systems to two linear inequalities.
Systems of Inequalities Practice
Systems of Inequalities Homework
Systems of Equations and Inequalities Mixed Practice
Equations and Inequalities Mixed Practice
Graphing Linear Inequalities Revisited
Systems of Linear Inequalities Revisited
Linear Programming Practice
Linear Programming Word Problems
More Linear Programming Word Problems
And Even More Linear Programming Problems
Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.
Arithmetic Sequences Practice
Arithmetic Sequences More Practice
Geometric Sequences Practice
Arithmetic and Geometric Sequences Review
General Sequences Practice
Determine whether a relation is a function, given a set of points or a graph.
Relation and Function Practice
Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).
Determining Domain and Range From Graph
Create, interpret, and/or use the equation, graph, or table of a linear function.
Translate from one representation of a linear function to another (i.e., graph, table, and equation).
A1.2.2 Coordinate Geometry
Identify, describe, and/or use constant rates of change.
Apply the concept of linear rate of change (slope) to solve problems.
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.
Writing Linear Equations
Linear Equations Practice for Test
Draw, identify, find, and/or write an equation for a line of best fit for a scatter plot.
Line of Best Fit Practice Worksheet
Line of Best Fit Worksheet #2
Calculate and/or interpret the range, quartiles, and interquartile range of data.
Mean, Median, Mode, Range, Quartiles Homework
Box and Whisker Plot Worksheet
Box and Whisker Practice for Test
Estimate or calculate to make predictions based on a circle, line, bar graph, measures of central tendency, or other representations.
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).
Reading and Understanding Graphs
Reading and Understanding Graphs Practice
Frequency Tables, Line Plots, and Histograms
Frequency Tables, Line Plots, and Histograms Practice
Circle Graphs Practice
Stem and Leaf Plots Worksheet
Stem-and-Leaf Plots Practice
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.
Theoretical Probability Practice
Sample Space Practice
Counting Outcomes Practice
Counting Outcomes and Probability
Counting Outcomes and Probability Practice
Independent and Dependent Events
Independent and Dependent Events Practice 1
Independent and Dependent Events Practice 2
Combinations and Permutations Practice
Compound Probability Worksheet
Compound Probability (Worksheet 6)
Compound Probability (Worksheet 7)
Keystone Algebra 1 Review:
Keystone Algebra 1 Review
For PDE's complete guide to the Keystone Exam for Algebra 1, click here:
Keystone Algebra 1 Guide
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Algebra III & Trigonometry
Helpful Math Websites
Keystone Algebra I
Probability and Statistics
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