A1.1.1.3.1Simplify/evaluate expressions involving properties/laws of exponents, roots, and/ or absolute values to solve problems. Note: Exponents should be integers from -10 to 10.

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.

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.

A1.1.2.2.1Write and/or solve a system of linear equations (including problem situations) using graphing, substitution, and/or elimination. Note: Limit systems to two linear equations

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

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.

A1.2.2.1.3Write 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.

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.

A1.2.3.2.2Analyze 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).

A1.2.3.3.1Find 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.

## Table of Contents

A1.1.1 Operations with Real Numbers and ExpressionsA1.1.1.1.1Compare and/or order any real numbers.Note: Rational and irrational may be mixed.A1.1.1.1.2Simplify square roots.A1.1.1.2.1Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.A1.1.1.3.1Simplify/evaluate expressions involving properties/laws of exponents, roots, and/ or absolute values to solve problems. Note: Exponents should be integers from -10 to 10.A1.1.1.4.1Use estimation to solve problems.A1.1.1.5.1Add, subtract, and/or multiply polynomial expressions (express answers in simplest form).Note: Nothing larger than a binomial multiplied by a trinomial.A1.1.1.5.2Factor 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.A1.1.1.5.3Simplify/reduce a rational algebraic expression.## A1.1.2 Linear Equations

A1.1.2.1Write, solve, and/or apply a linear equation (including problem situations).A1.1.2.1.2Use and/or identify an algebraic property to justify any step in an equation solving process.Note: Linear equations only.A1.1.2.2.1Write and/or solve a system of linear equations (including problem situations) using graphing, substitution, and/or elimination. Note: Limit systems to two linear equationsA1.1.2.2.2Interpret solutions to problems in the context of the problem situation.Note: Limit systems to two linear equations.## A1.1.3 Linear Inequalities

A1.1.3.1.1Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).A1.1.3.1.2Identify or graph the solution set to a linear inequality on a number line.A1.1.3.2.1Write and/or solve a system of linear inequalities using graphing.Note: Limit systems to two linear inequalities.## A1.1.2.1 Functions

A1.2.1.1.1Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.A1.2.1.1.2Determine whether a relation is a function, given a set of points or a graph.A1.2.1.1.3Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).A1.2.1.2.1Create, interpret, and/or use the equation, graph, or table of a linear function.A1.2.1.2.2Translate from one representation of a linear function to another (i.e., graph, table, and equation).## A1.2.2 Coordinate Geometry

- Writing Linear Equations
- Linear Equations Practice for Test

- Line of Best Fit Practice Worksheet
- Line of Best Fit Worksheet #2

- Quartiles Worksheet
- Mean, Median, Mode, Range, Quartiles Homework
- Box and Whisker Plot Worksheet
- Box and Whisker Practice for Test

- Reading and Understanding Graphs
- Reading and Understanding Graphs Practice
- Frequency Tables, Line Plots, and Histograms
- Frequency Tables, Line Plots, and Histograms Practice
- Circle Graphs
- Circle Graphs Practice
- Stem and Leaf Plots Worksheet
- Stem-and-Leaf Plots
- Stem-and-Leaf Plots Practice

- Theoretical Probability
- Theoretical Probability Practice
- Sample Spaces
- Sample Space Practice
- Counting Outcomes
- 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
- Permutations
- Permutations Practice
- Combinations
- Combinations Practice
- Combinations and Permutations Practice
- Compound Probability Worksheet
- Compound Probability (Worksheet 6)
- Compound Probability (Worksheet 7)

Final Exam ReviewsA1.2.2.1.1Identify, describe, and/or use constant rates of change.A1.2.2.1.2Apply the concept of linear rate of change (slope) to solve problems.A1.2.2.1.3Write 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.A1.2.2.2.1Draw, identify, find, and/or write an equation for a line of best fit for a scatter plot.A1.2.3.1.1Calculate and/or interpret the range, quartiles, and interquartile range of data.A1.2.3.2.1Estimate or calculate to make predictions based on a circle, line, bar graph, measures of central tendency, or other representations.A1.2.3.2.2Analyze 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).A1.2.3.3.1Find 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.- Keystone Practice for Final Exam 1
- Keystone Practice for Final Exam 2
- Keystone Practice for Final Exam 3
- Keystone Practice for Final Exam 4
- Keystone Practice for Final Exam 5

MathCrossWordPuzzle## Additional Resources

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.