Algebra Worksheets: Fundamentals of Equations and Formulas!

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Algebra 1 and Algebra 2

Algebra 1: Mixed Review
     Level 1: Easiest (First third of course)
     Level 2: More difficult
     Level 3: Complete algebra 1 review

Algebra 2: Mixed Review
     Level 1: Easiest (First third of course)
     Level 2: More difficult
     Level 3: Complete algebra 2 review

High School Daily Skills

High School Daily Skills

Algebra Table Of Contents
     Mixed Review Worksheet - You select the categories!
     Algebra Word Problems and Critical Thinking Problems
     Equations: Algebra Basics, Solving Problems, and Number Puzzles
     Exponents
     Linear Equations
     Systems of Linear Equations and Inequalities
     Functions
     Matrices
     Polynomials
     Polynomial Functions
     Rational and Irrational Numbers
     Complex Numbers
     Quadratic Equations
     Logarithms
     Conics

Pre-Algebra
Pre-Algebra materials

Algebra Word Problems and Critical Thinking Problems
     Number Problems with One Unknown
     Number Problems with Multiple Unknowns
     Consecutive Integers
     Digits
     Age Problems with One Person
     Age Problems with Multiple People
     Money (Coin Problems)
     Mixture Problems
     More Difficult Mixture Problems
     Rectangle Problems (Includes Quadratic Formula Problems)
     Distance, Rate, and Time (d=rt) Problems (Understanding the Basic Formula)
     Distance, Rate, and Time (d=rt) Problems
     Algebra Problems with Percents
     Financial Algebra Problems (Percents)
     Algebra Work Rate Problems
     Algebra Ratio Word Problems
     Angle Word Problems
     Triangles Word Problems
     Quadratic Problems
     Money Problems
     Sports Problems
     Inequalities Problems
     Misc Problems

Algebra Logic Printables
     Salaries
     Number of gold medals won
     Time to paint a room
     Time and speed
     Bouquets
     Ages
     Interest and deposits
     Number of coins
     The theater
     Points scored in a basketball game

Equations: Algebra Basics
     Translating Verbal Statements into Equations
     Solving Simple Equations Using Inverse Operations
     Solving Addition and Subtraction Equations
     Solving Multiplication and Division Equations
     Solving Equations with 2 to 4 Numbers
     More 2 to 4 Number Equations
     Write a Word Problem for Each Equation
     Equations Final Review!

Equations: Algebra Basics Crossword Puzzles
     Translating Verbal Statements into Equations Crossword Puzzle
     Solving Simple Equations Using Inverse Operations Crossword Puzzle
     Solving Addition and Subtraction Equations Crossword Puzzle
     Solving Multiplication and Division Equations Crossword Puzzle
     Solving Equations with 2 to 4 Numbers Crossword Puzzle
     More 2 to 4 Number Equations Crossword Puzzle
     Equations Final Review Crossword Puzzle!

Exponent Worksheets
     Arithmetic on left with equivalent algebra expression on the right
     Same as previous worksheet but has the answers and a box to fill in the missing number or unknown
     Problems are mixed up (does not have equivalent expressions)
     Same as previous worksheet but has the answers and a box to fill in the missing number or unknown
     Some more difficult problems; Equivalent algebra is on the right
     Evaluate Exponents
     Comparison of Exponents
     Exponent Addition
     Multiplying Powers
     Multiplying Powers with Unknowns (Monomials)
     Dividing Powers
     Dividing Powers with Unknowns (Monomials)
     Multiplying Monomials (No Negatives)
     Multiplying Monomials (Negatives)
     Multiplying Monomials (Negatives and Power-Of-A-Power or Power-Of-A-Product)
     Division of Monomials
     Division of Monomials (Includes Multiplication)
     Division of Monomials (Multiplication and Power-Of-A-Power or Power-Of-A-Product)
     Scientific Notation: Rewrite in Scientific Notation
     Scientific Notation: Rewrite in Decimal Notation
     Scientific Notation: Multiplication
     Scientific Notation: Division
     Exponents Final Review!

Exponent Worksheets Crossword Puzzles
     Evaluate Exponents Crossword Puzzle
     Exponent Addition Crossword Puzzle
     Multiplying Powers Crossword Puzzle
     Multiplying Powers with Unknowns (Monomials) Crossword Puzzle
     Dividing Powers Crossword Puzzle
     Dividing Powers with Unknowns (Monomials) Crossword Puzzle
     Multiplying Monomials (No Negatives) Crossword Puzzle
     Multiplying Monomials (Negatives) Crossword Puzzle
     Multiplying Monomials (Negatives and Power-Of-A-Power or Power-Of-A-Product) Crossword Puzzle
     Division of Monomials Crossword Puzzle
     Division of Monomials (Includes Multiplication) Crossword Puzzle
     Division of Monomials (Multiplication and Power-Of-A-Power or Power-Of-A-Product) Crossword Puzzle
     Scientific Notation: Rewrite in Scientific Notation Crossword Puzzle
     Scientific Notation: Rewrite in Decimal Notation Crossword Puzzle
     Scientific Notation: Multiplication Crossword Puzzle
     Scientific Notation: Division Crossword Puzzle
     Exponents Final Review Crossword Puzzle!

Inequalities
     Determine the truth of an inequality
     Solving inequalities by adding or subtracting (whole numbers)
     Solving inequalities by adding or subtracting (fractions)
     Solving Inequalities by multiplying or dividing
     Solving Multi-Step Inequalities
     Inequalities Review Printable

Linear Equations
     Relations and Functions - State the domain and range (group of points)
     Relations and Functions - Determine if a relation is a function
     Relations and Functions - Calculate value of a function
     Linear Functions - Write in standard form
     Linear Functions - Graph each equation
     Linear Functions - Graph each equation (includes fractions)
     Slope - Slope of two points
     Slope - Find the intercepts of a linear equation
     Slope - Graph using a point and slope
     Write Linear Equations - Given a point and slope
     Write Linear Equations - Given two points
     Linear Equations - Find the slope and y-intercept from an equation
     Write Linear Equations - Write the slope-intercept form of the equation
     Write Linear Equations - Write equation of the line given the y and x-intercepts
     Linear Equations - State whether the line is parallel or perpendicular
     Linear Equations - Write an equation of a line
     Inequalities - Sketch the graph of the inequality
     Inequalities and Absolute Value - Sketch the graph
     Graphs - Write an equation in standard form for each line
     Graphs - Write an equation in slope-intercept form for each line
     Graphs - Find the slope of the line
     Matching - Match the graph with the equation (equations in standard form)
     Matching - Match the graph with the equation (equations in slope-intercept form)
     Matching - Match the graph with the equation
     Review
     Review Crossword Puzzle

Systems of Linear Equations and Inequalities
from the linear equations worksheets
     Linear Systems - Solve by graphing
     Linear Systems - Solve by graphing (graph paper on worksheet)
     Linear Systems - Solve by using the substitution method (in Ax + By = C format)
     Linear Systems - Solve by using the substitution method
     Linear Systems - Solve by using the elimination method (in Ax + By = C format)
     Linear Systems - Solve by using the elimination method
     Linear Systems - Solve by using any method (in Ax + By = C format)
     Linear Systems - Solve by using any method
     Inequalities - Solve each system of inequalities by graphing (3 vertices)
     Inequalities - Solve each system of inequalities by graphing (4 vertices)
     Inequalities - Solve each system of inequalities by graphing (3-4 vertices)
     Linear Programming - Find the minimum and maximum (3 vertices)
     Linear Programming - Find the minimum and maximum (4 vertices)
     Linear Programming - Find the minimum and maximum (3-4 vertices)
     Systems of Linear Equations in Three Variables - Solve (easier problems)
     Systems of Linear Equations in Three Variables - Solve
     Review

Systems of Linear Equations and Inequalities Crossword Puzzles
     Linear Systems - Solve by using the substitution method (in Ax + By = C format) Crossword Puzzle
     Linear Systems - Solve by using the substitution method Crossword Puzzle
     Linear Systems - Solve by using the elimination method (in Ax + By = C format) Crossword Puzzle
     Linear Systems - Solve by using the elimination method Crossword Puzzle
     Linear Systems - Solve by using any method (in Ax + By = C format) Crossword Puzzle
     Linear Systems - Solve by using any method Crossword Puzzle
     Inequalities - Solve each system of inequalities by graphing (3 vertices) Crossword Puzzle
     Inequalities - Solve each system of inequalities by graphing (4 vertices) Crossword Puzzle
     Inequalities - Solve each system of inequalities by graphing (3-4 vertices) Crossword Puzzle
     Linear Programming - Find the minimum and maximum (3 vertices) Crossword Puzzle
     Linear Programming - Find the minimum and maximum (4 vertices) Crossword Puzzle
     Linear Programming - Find the minimum and maximum (3-4 vertices) Crossword Puzzle
     Systems of Linear Equations in Three Variables - Solve (easier problems) Crossword Puzzle
     Systems of Linear Equations in Three Variables - Solve Crossword Puzzle
     Review Crossword Puzzle

Functions Worksheets
from the functions worksheets
     Is the relation a function? (set of points)
     Calculate the indicated value of f(x)
     State the domain and range
     State the domain and range (more difficult)
     State whether the equation is a function
     Given f(x) and g(x), calculate
     Inverse (set of points)
     State the inverse of each function
     Verify that f and g are inverses of each other
     Write a compound function for the absolute value function
     Sketch the graph of the compound function
     Identify the transformation from f(x) to g(x) - f(x) is always x²
     Identify the transformation from f(x) to g(x)
     Show how f(x) and g(x) are related
     Final Review

Matrices Worksheets
from the matrices worksheets
     Addition of Matrices
     Subtraction of Matrices
     Multiply a Matrix by One Number
     Addition and Subtraction
     Addition, Subtraction, and Multiplication
     Solve for x: Addition, Subtraction, and Multiplication
     Multiplication of Matrices
     Solve for x and y: Multiplication of Matrices
     Determinants: 2 x 2 Matrix
     Determinants: 3 x 3 Matrix (Row and Column Method)
     Determinants: 3 x 3 Matrix (Diagonals Method)
     Determinants: Mix of 2 x 2 and 3 x 3 Matrices
     Determinants: Calculate area of triangles
     Determinants: Calculate area of quadrilaterals
     Inverses: 2 x 2 Matrix
     Solve the Matrix Equation
     Solve the Matrix Equation (harder)
     Solve the Matrix Equation (includes multiple operations)
     Solve the Matrix Equation (mix)
     Linear Systems: Write as a Matrix
     Linear Systems: Write as a Linear Equation
     Linear Systems: Use an Inverse Matrix to Solve
     Use the Given Inverse Matrix to Solve for x, y, and z
     Augmented Matrices: Write the Augmented Matrix
     Augmented Matrices: Write the Augmented Matrix and Solve
     Find the Determinant of the Coefficient Matrix
     Cramer's Rule: Solve (2 variables)
     Cramer's Rule: Solve (3 variables)
     Cramer's Rule: Solve (2-3 variables)
     Final Review of Matrices

Simplifying Algebraic Fractions (Some Polynomials)
     Reducing Algebraic Fractions to Lowest Terms (Warm Up)
     Reducing Algebraic Fractions to Lowest Terms (A Little More Difficult)
     Reducing Algebraic Fractions to Lowest Terms (Different Variables)
     Multiplying Algebraic Fractions
     Adding Algebraic Fractions
     Subtracting Algebraic Fractions
     Adding and Subtracting Algebraic Fractions
     Adding Algebraic Fractions (More Difficult)
     Subtracting Algebraic Fractions (More Difficult)
     Adding and Subtracting Algebraic Fractions (More Difficult)
     Final Review

Polynomial Worksheets
from the polynomials worksheets
     Classify as a monomial, binomial, or trinomial
     Adding Polynomials
     Subtracting Polynomials
     Multiplication (Monomial by Polynomial)
     Multiplication using FOIL (Binomial by Binomial)
     Multiplication (Polynomial by Polynomial)
     Dividing a Monomial by a Monomial
     Dividing a Polynomial by a Monomial
     Mixing Addition, Multiplication, and Division in one problem.
     A mix of all the different operation worksheets.
     Common Factors: Factor out the GCF
     Common Factors: Write as a Product of Two Binomials
     Factoring: Perfect-Square Trinomials
     Factoring: Perfect-Squares (more difficult)
     Factoring: Quadratic Trinomials
     Solve by Factoring
     Final Review of Polynomials

Polynomial Crossword Puzzles
     Adding Polynomials Crossword Puzzle
     Subtracting Polynomials Crossword Puzzle
     Multiplication (Monomial by Polynomial) Crossword Puzzle
     Multiplication using FOIL (Binomial by Binomial) Crossword Puzzle
     Multiplication (Polynomial by Polynomial) Crossword Puzzle
     Dividing a Monomial by a Monomial Crossword Puzzle
     Dividing a Polynomial by a Monomial Crossword Puzzle
     Mixing Addition, Multiplication, and Division in one problem Crossword Puzzle
     A mix of all the different operation worksheets Crossword Puzzle
     Common Factors: Factor out the GCF Crossword Puzzle
     Common Factors: Write as a Product of Two Binomials Crossword Puzzle
     Factoring: Perfect-Square Trinomials Crossword Puzzle
     Factoring: Perfect-Squares (more difficult) Crossword Puzzle
     Factoring: Quadratic Trinomials Crossword Puzzle
     Solve by Factoring Crossword Puzzle
     Final Review of Polynomials Crossword Puzzle

Polynomial Functions
     Dividing Polynomials: Polynomial by a Monomial
     Dividing Polynomials: Polynomial by a Binomial
     Dividing Polynomials: Polynomial by a Quadratic
     Dividing Polynomials: Mix
     Describe the Left and Right Behavior of the Graph
     Graph. State the local maxima and minima
     Factoring: Missing Factor (Easy)
     Factoring: Factor. (Easy)
     Factoring: Is a given factor a factor? (Easy)
     Factoring: Factor - One factor is given (Easy)
     Factoring: Missing Factor (More Difficult)
     Factoring: Factor. (More Difficult)
     Factoring: Is a given factor a factor? (More Difficult)
     Factoring: Factor - One factor is given (More Difficult)
     Factoring: Missing Factor (Mix)
     Factoring: Factor. (Mix)
     Factoring: Is a given factor a factor? (Mix)
     Factoring: Factor - One factor is given (Mix)
     Review with all types of problems and question types
     Solve using Factoring (easy)
     Solve using Factoring (more difficult)
     Solve using Factoring (mix)
     Factor using Variable Substitution
     Zeros: State All Possible Rational Zeros
     Zeros: Find All Rational Zeros
     Zeros: Find All Zeros
     Zeros: State All Possible Rational Zeros (imaginary zeros)
     Zeros: Find All Rational Zeros (imaginary zeros)
     Zeros: Find All Zeros (imaginary zeros)
     Final Review of Polynomial Functions

Rational and Irrational Number Worksheets
from the radical worksheets
     Simplify Radicals (no decimals)
     Simplify Radicals (decimals)
     Simple Operations with Rational Radicals (no decimals)
     Simple Operations with Rational Radicals (decimals)
     Simplify Irrational Numbers
     Simplify Irrational Numbers (includes variables)
     Multiplying and Dividing Irrational Radicals
     Adding and Subtracting Irrational Radicals
     Mix: Addition, Subtraction, Multiplication, Division
     Multiplying Binomials (radicals have constant value)
     Multiplying Binomials
     Simplifying Radicals with Variables
     Simplifying Radicals with Variables (includes fractions)
     Solving Radical Equations (no quadratics)
     Solving Radical Equations (quadratics)
     Solving Radical Equations (multiple quadratics)
     Find the distance between P and Q.
     Find the midpoint between the two points.
     Find the distance between P and Q and the coordinates of the midpoint between the two points.
     (Radicals) Find the distance between P and Q.
     (Radicals) Find the midpoint between the two points.
     (Radicals) Find the distance between P and Q and the coordinates of the midpoint between the two points.
     Give a point and a midpoint. What is the other point and length between the two points?
     (Radicals) Give a point and a midpoint. What is the other point and length between the two points?
     What is the length of the missing side of the right triangle? (a and b are whole numbers)
     What is the length of the missing side of the right triangle?
     Review

Radicals - Advanced
     Evaluate each radical expression.
     Evaluate each radical expression.
     Evaluate each radical expression.
     Simplifying Radicals with Variables and Numbers
     Simplifying Radicals with Variables and Numbers (more difficult)
     Multiply: Radicals with Variables and Numbers
     Divide: Radicals with Variables and Numbers
     Write expression with a rational denominator.
     Write expression with a rational denominator.
     Solving Radical Equations
     Review

Complex Numbers
from the complex worksheets
     Express in Simplest Form (in terms of i)
     Express in Simplest Form (Irrational Roots)
     Express in Simplest Form (Decimals and Exponents)
     Simplify Simple i Terms
     Addition of Complex Numbers
     Addition and Subtraction of Complex Numbers
     Multiplication and Division of Complex Numbers
     Mixed
     Multiply Complex Numbers (in i form already)
     Divide Complex Numbers (in i form already)
     Final Review of Complex Numbers

Quadratic Equations
from the quadratic equations worksheets
     Solving Quadratic Equations (b=0, Whole Number Only Answers)
     Solving Quadratic Equations (b=0)
     Solve by Factoring
     Solve by Factoring (Fractional Answers)
     Solve by Factoring (Whole Numbers and Fraction Answers)
     Completing the Square (A=1, No Radical Answers)
     Completing the Square (A=1, Radical Answers)
     Completing the Square (No Radical Answers)
     Completing the Square
     Completing the Square Review
     Find the discriminant of the quadratic equation
     Find the nature of the roots
     Quadratic Formula - Solve Quadratic Equations (Discriminants which are perfect positive squares)
     Quadratic Formula - Solve Quadratic Equations (Positive discriminants)
     Quadratic Formula - Solve Quadratic Equations (Mix)
     Quadratic Formula - Solve Quadratic Equations - Complex Numbers (easy)
     Quadratic Formula - Solve Quadratic Equations - Complex Numbers (more difficult)
     Quadratic Formula - Solve Quadratic Equations - Complex Numbers (mix)
     Quadratic Formula - Solve Quadratic Equations Review
     Sum and Products of Roots - Write Equation Given Roots (Whole Numbers)
     Sum and Products of Roots - Write Equation Given Roots (Fractions)
     Sum and Products of Roots - Write Equation Given Roots (Roots with Radicals)
     Sum and Products of Roots - Write Equation Given Roots (Imaginary Roots)
     Sum and Products of Roots - Write Equation Given Roots Review
     Graphs of Quadratic Equations - State the direction of opening for the graph
     Graphs of Quadratic Equations - Find the vertex and axis of symmetry (Whole Numbers)
     Graphs of Quadratic Equations - Find the vertex and axis of symmetry (Standard Format Equation)
     Graphs of Quadratic Equations - Find the vertex and axis of symmetry (Has Fractions)
     Graphing Quadratic Functions - Given Three Points
     Graphing Quadratic Functions - Given Three Points with Fractions
     Graphing Quadratic Functions - Mix
     Graphing Quadratic Functions - Given Equation
     Graphing Quadratic Functions - Given Equation (With Graph Paper)
     Graphs of Inequalities - Draw the graph
     Graphs of Inequalities - Draw the graph (Includes Graph Paper)
     Solving Inequalities
     Final Review of Quadratic Equations

Logarithms
from the logarithms worksheets
     Express exponential forms in logarithmic form
     Express logarithmic form in exponential form
     Determine the value of a log
     Solve for the unknown
     Express as a single logarithm
     Calculate value
     Solve for unknown (easier)
     Solve for unknown (more difficult)
     Solve for unknown using a calculator
     Solving Exponential Equations (common base)
     Solving Exponential Equations (lacking a common base)

Logarithm Word Problems
     Logarithm and Exponential Applications, Sheet #1
     Logarithm and Exponential Applications, Sheet #2
     Logarithm and Exponential Applications, Sheet #3
     Logarithm and Exponential Applications, Sheet #4
     Logarithm and Exponential Applications, Sheet #5
     Logarithm and Exponential Applications, Sheet #6
     Logarithm and Exponential Applications, Sheet #7
     Logarithm and Exponential Applications, A Mix Of Questions from Sheets #1-#7!

Conic Sections
     Find the distance and midpoint between two points (no radicals)
     Find the distance and midpoint between two points (radicals)
     Using distance and midpoint formulas (no radicals)
     Using distance and midpoint formulas (radicals)
     Circles: Find the center, circumference, and area
     Parabolas: Write the equation of the parabola in standard form
     Parabolas: Find the focus and directrix (vertex is 0,0)
     Parabolas: Find the focus, vertex, and the directrix of the parabola
     Parabolas: Write the equation for the parabola that has the given characteristics
     Parabolas: Write a standard equation for each parabola
     Parabolas: Match the standard equations and graphs
     Parabolas: Match the equations and graphs
     Circles: Write the standard form of the equation of the circle with the given radius and center
     Circles: Write the standard equation, the center, and the radius for each circle
     Circles: Write the standard form of the equation of the circle with the given center C that passes through the given point Z.
     Circles: Write a standard equation for each circle
     Circles: Match the standard equations and graphs
     Circles: Match the equations and graphs
     Ellipses: Find the foci, vertices, and co-vertices of each ellipse
     Ellipses: Find the center, foci, vertices, and co-vertices of each ellipse
     Ellipses: Write the standard equation of each ellipse
     Ellipses: Use the information about the vertex, co-vertex, and focus to write a standard equation (center is 0,0)
     Ellipses: Use the information about the vertex, co-vertex, focus, and center to write a standard equation
     Ellipses: Write a standard equation for each ellipse
     Ellipses: Match the standard equations and graphs
     Ellipses: Match the equations and graphs
     Hyperbolas: Find the vertices, co-vertices, foci, and asymptotes of the hyperbola (center 0,0)
     Hyperbolas: Find the vertices, co-vertices, and foci of the hyperbola
     Hyperbolas: Write the equation in standard form
     Hyperbolas: Write the standard equation for the hyperbola with the given characteristics (center 0,0)
     Hyperbolas: Write the standard equation for the hyperbola with the given characteristics
     Classifying a Conic Section (in standard form)
     Classifying a Conic Section (not in standard form)
     Parabolas,Ellipses, and Circles: Write a standard equation
     Parabolas,Ellipses, and Circles: Match the standard equations and graphs
     Parabolas,Ellipses, and Circles: Match the equations and graphs
     Final Review of Conics

Trigonometry
     Using a calculator (sin, cos, tan)
     Using a calculator (inverse functions)
     Find the tangent of one point
     Tangent: Find the value of x
     Find the sine of one point
     Sine: Find the value of x
     Find the cosine of one point
     Cosine: Find the value of x
     Mixed sine, cosine, and tangent
     Mixed: Find the value of x
     Fill in the missing angle
     Angles of rotation: Coterminal angles
     Angles of rotation: Reference angles
     Angles of rotation: Coterminal and reference angles
     The Law of Sines: Find one unknown
     The Law of Sines: Find all unknown sides and angles
     The Law of Cosines: Find one unknown
     The Law of Cosines: Find all unknown sides and angles
     Mixed review of the law of sines and cosines (one unknown)
     Mixed review of the law of sines and cosines (find all unknowns)
     Trigonometry Mixed Review

More Trigonometry
     Find the exact value of one trigonometric function given a point
     Find the exact value of six trigonometric functions given a point
     Gives quadrant and one trigonometric function
     Find the exact value for each trigonometric function
     Find the exact coordinates of a point on a circle
     Convert degrees to radians
     Convert radians to degrees
     Find the exact value for each trigonometric function (in radians)
     Convert each degree measure to exact radian measure
     Sum and difference identities
     Sum and difference identities: more difficult
     Mixed Review

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