Master: Algebra

Master: Algebra

Course Modules

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1. Use symbols to represent numbers, operations, variables and relations.
 
Move done incomplete Curriculum Requirements for Specific Objective 1 Curriculum Requirements for Specific Objective 1
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Move done incomplete Mathematical language (mathcentre.ac.uk) Mathematical language (mathcentre.ac.uk)
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Move done incomplete Working with numbers and letters in algebra (CNX) Working with numbers and letters in algebra (CNX)
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Move done incomplete Algebraic expressions (CNX) Algebraic expressions (CNX)
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Move done incomplete Introduction to Algebra (Khan Academy) Introduction to Algebra (Khan Academy)
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Move done incomplete Algebra Part 1 (Mastering Mathematics on YouTube) Algebra Part 1 (Mastering Mathematics on YouTube)
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2. Translate statements expressed algebraically into verbal phrases.
 
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Move done incomplete Translating Words into Maths Symbols (Wikibooks Textbook Excerpt) Translating Words into Maths Symbols (Wikibooks Textbook Excerpt)
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Move done incomplete Algebraic expressions (CNX) Algebraic expressions (CNX)
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Move done incomplete Sentences as Single Variable Equations - book extract (CK-12) Sentences as Single Variable Equations - book extract (CK-12)
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Move done incomplete Algebraic Expression Application (Mathispower4u on YouTube) Algebraic Expression Application (Mathispower4u on YouTube)
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3. Perform arithmetic operations involving directed numbers.
 
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Move done incomplete Basic Algebra - Working with Negative Numbers (Wikibooks) Basic Algebra - Working with Negative Numbers (Wikibooks)
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Move done incomplete Elementary Algebra - Working with integers - book extract (Saylor.org) Elementary Algebra - Working with integers - book extract (Saylor.org)
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4. Perform the four basic operations with algebraic expressions.
 
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Move done incomplete Simplifying Expressions (CK-12) Simplifying Expressions (CK-12)
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Move done incomplete Algebra (Commonwealth of Learning) Algebra (Commonwealth of Learning)
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Move done incomplete Simplify Algebraic Expressions (Saylor.org) Simplify Algebraic Expressions (Saylor.org)
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Move done incomplete Algebra Part 3 (Mastering Mathematics on YouTube) Algebra Part 3 (Mastering Mathematics on YouTube)
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Move done incomplete Algebra Part 4 (Mastering Mathematics on YouTube) Algebra Part 4 (Mastering Mathematics on YouTube)
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5. Substitute numbers for algebraic symbols in simple algebraic expressions.
 
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Move done incomplete Algebra and substitution - book extract (Saylor.org) Algebra and substitution - book extract (Saylor.org)
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Move done incomplete Numerical Expression Evaluation with Basic Operations - book extract (CK-12) Numerical Expression Evaluation with Basic Operations - book extract (CK-12)
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Move done incomplete Substitution (OpenAlgebra.com) Substitution (OpenAlgebra.com)
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Move done incomplete Evaluate a Formula Using Substitution (Khan Academy) Evaluate a Formula Using Substitution (Khan Academy)
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Move done incomplete Evaluating Algebraic Expressions (Mathispower4u) Evaluating Algebraic Expressions (Mathispower4u)
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Move done incomplete Introduction to Algebra Part 2 (Mastering Mathematics on YouTube) Introduction to Algebra Part 2 (Mastering Mathematics on YouTube)
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6. Perform binary operations (other than the four basic ones).
 
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Move done incomplete Algebra Binary Operations Part 1 (cxcTutors on YouTube) Algebra Binary Operations Part 1 (cxcTutors on YouTube)
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Move done incomplete Algebra Binary Operations Part 2 (cxcTutors on YouTube) Algebra Binary Operations Part 2 (cxcTutors on YouTube)
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7. Apply the distributive law to factorize or expand algebraic expressions.
 
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Move done incomplete Algebra, substitution and apply distributive law - book extract (Saylor.org) Algebra, substitution and apply distributive law - book extract (Saylor.org)
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Move done incomplete Applying the distributive law (OpenAlgebra.com) Applying the distributive law (OpenAlgebra.com)
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Move done incomplete Multiply polynomials (OpenAlgebra.com) Multiply polynomials (OpenAlgebra.com)
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Move done incomplete Algebra (Commonwealth of Learning) Algebra (Commonwealth of Learning)
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Move done incomplete Introduction to the Distributive Property (Mathispower4u) Introduction to the Distributive Property (Mathispower4u)
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8. Simplify algebraic fractions.
 
Move done incomplete Curriculum Requirements for Specific Objective 8 Curriculum Requirements for Specific Objective 8
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Move done incomplete Simplify algebraic fractions (mathcentre.ac.uk) Simplify algebraic fractions (mathcentre.ac.uk)
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Move done incomplete Add and subtract rational expressions (OpenAlgebra.com) Add and subtract rational expressions (OpenAlgebra.com)
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Move done incomplete Multiply and divide rational expressions (OpenAlgebra.com) Multiply and divide rational expressions (OpenAlgebra.com)
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Move done incomplete Simplify rational expressions (OpenAlgebra.com) Simplify rational expressions (OpenAlgebra.com)
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9. Use the laws of indices to manipulate expressions with integral indices.
 
Move done incomplete Curriculum Requirements for Specific Objective 9 Curriculum Requirements for Specific Objective 9
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Move done incomplete Indices and powers (mathcentre.ac.uk) Indices and powers (mathcentre.ac.uk)
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Move done incomplete Laws of exponents (OpenAlgebra.com) Laws of exponents (OpenAlgebra.com)
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Move done incomplete Negative exponents (OpenAlgebra.com) Negative exponents (OpenAlgebra.com)
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Move done incomplete Laws of indices (Wikispaces) Laws of indices (Wikispaces)
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Move done incomplete Negative indices (Wikispaces) Negative indices (Wikispaces)
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Move done incomplete Law of Indices (CXC Maths Tutor) Law of Indices (CXC Maths Tutor)
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10. Solve linear equations in one unknown
 
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Move done incomplete Equations - book extract The Next Step (New Brunswick Community College) Equations - book extract The Next Step (New Brunswick Community College)
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Move done incomplete Solve linear equations Part 1 (OpenAlgebra.com) Solve linear equations Part 1 (OpenAlgebra.com)
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Move done incomplete Solve linear equations Part 2 (OpenAlgebra.com) Solve linear equations Part 2 (OpenAlgebra.com)
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Move done incomplete Solve linear equations (mathcentre.ac.uk) Solve linear equations (mathcentre.ac.uk)
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11. Solve simultaneous linear equations, in two unknowns, algebraically.
 
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Move done incomplete Solve simultaneous equations (mathcentre.ac.uk) Solve simultaneous equations (mathcentre.ac.uk)
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Move done incomplete Solve linear systems by substitution (OpenAlgebra.com) Solve linear systems by substitution (OpenAlgebra.com)
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Move done incomplete Solve linear systems by elimination (OpenAlgebra.com) Solve linear systems by elimination (OpenAlgebra.com)
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Move done incomplete Simultaneous Equations Part 1 (Mastering Mathematics on YouTube) Simultaneous Equations Part 1 (Mastering Mathematics on YouTube)
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Move done incomplete Simultaneous Equations Part 2 (Mastering Mathematics on YouTube) Simultaneous Equations Part 2 (Mastering Mathematics on YouTube)
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Move done incomplete Simultaneous Equations Part 3 (Mastering Mathematics on YouTube) Simultaneous Equations Part 3 (Mastering Mathematics on YouTube)
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Move done incomplete Simultaneous Equations Part 4 (Mastering Mathematics on YouTube) Simultaneous Equations Part 4 (Mastering Mathematics on YouTube)
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12. Solve a simple linear inequality in one unknown.
 
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Move done incomplete Solve linear inequalities (OpenAlgebra.com) Solve linear inequalities (OpenAlgebra.com)
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Move done incomplete Solve linear inequalities (Boundless) Solve linear inequalities (Boundless)
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Move done incomplete Inequalities Part 1 (Mastering Mathematics on YouTube) Inequalities Part 1 (Mastering Mathematics on YouTube)
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Move done incomplete Inequalities Part 2 (Mastering Mathematics on YouTube) Inequalities Part 2 (Mastering Mathematics on YouTube)
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13. Change the subject of formulae; including those involving roots and powers.
 
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Move done incomplete Transposition of formulae (mathcentre.ac.uk) Transposition of formulae (mathcentre.ac.uk)
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Move done incomplete Changing the subject of the formula (Everything Maths) Changing the subject of the formula (Everything Maths)
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Move done incomplete Maths: Changing The Subject (VividMaths on YouTube) Maths: Changing The Subject (VividMaths on YouTube)
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Move done incomplete Changing the subject of a formula (Mindset) Changing the subject of a formula (Mindset)
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14. Factorise algebraic expressions.
 
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Move done incomplete Factorisation (Everything Maths) Factorisation (Everything Maths)
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Move done incomplete Introduction to factoring (OpenAlgebra.com) Introduction to factoring (OpenAlgebra.com)
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Move done incomplete Factoring Trinomials of the Form x^2 + bx + c (OpenAlgebra.com) Factoring Trinomials of the Form x^2 + bx + c (OpenAlgebra.com)
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Move done incomplete Factoring Trinomials of the Form ax^2 + bx + c (OpenAlgebra.com) Factoring Trinomials of the Form ax^2 + bx + c (OpenAlgebra.com)
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Move done incomplete Factorising quadratics including difference of 2 squares (mathcentre.ac.uk) Factorising quadratics including difference of 2 squares (mathcentre.ac.uk)
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Move done incomplete Factorising 4 terms (Wikispaces) Factorising 4 terms (Wikispaces)
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Move done incomplete Algebra (Commonwealth of Learning) Algebra (Commonwealth of Learning)
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15. Solve quadratic equations.
 
Move done incomplete Curriculum Requirements for Specific Objective 15 Curriculum Requirements for Specific Objective 15
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Move done incomplete Solve quadratic equations by factorising (OpenAlgebra.com) Solve quadratic equations by factorising (OpenAlgebra.com)
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Move done incomplete Solve quadratic equations by factorising (Everything Maths) Solve quadratic equations by factorising (Everything Maths)
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Move done incomplete Solve quadratic equations by using the formula (CK-12) Solve quadratic equations by using the formula (CK-12)
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Move done incomplete Solve quadratic equations using the formula (mathcentre.ac.uk) Solve quadratic equations using the formula (mathcentre.ac.uk)
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16. Solve word problems; linear equation, linear inequalities, two simultaneous linear equations, quadratic equations.
 
Move done incomplete Curriculum Requirements for Specific Objective 16 Curriculum Requirements for Specific Objective 16
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must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Solve word problems with quadratic equations (OpenAlgebra.com) Solve word problems with quadratic equations (OpenAlgebra.com)
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Solve word problems with linear equations (OpenAlgebra.com) Solve word problems with linear equations (OpenAlgebra.com)
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Solve word problems with 2 simultaneous linear equations (OpenAlgebra.com) Solve word problems with 2 simultaneous linear equations (OpenAlgebra.com)
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Word problem solving strategies (Khan Academy) Word problem solving strategies (Khan Academy)
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Linear inequalities and word problems (Open High School) Linear inequalities and word problems (Open High School)
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
17. Solve a pair of equations in two variables when one equation is quadratic or non-linear and the other linear.
 
Move done incomplete Curriculum Requirements for Specific Objective 17 Curriculum Requirements for Specific Objective 17
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Solve simultaneous equations where one equation is linear (Everything Maths) Solve simultaneous equations where one equation is linear (Everything Maths)
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Systems of linear and quadratic equations (Monterey Institute) Systems of linear and quadratic equations (Monterey Institute)
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
18. Prove two algebraic expressions to be identical.
 
Move done incomplete Curriculum Requirements for Specific Objective 18 Curriculum Requirements for Specific Objective 18
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Prove two algebraic expressions are equal (Wikieducator.org) Prove two algebraic expressions are equal (Wikieducator.org)
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Equivalent expressions (illistrativemathematics.org) Equivalent expressions (illistrativemathematics.org)
must score at least a   scored at least a  
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must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Algebraic expressions - for teachers (Mathshell.org) Algebraic expressions - for teachers (Mathshell.org)
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
19. Represent direct and indirect variation symbolically.
 
Move done incomplete Curriculum Requirements for Specific Objective 19 Curriculum Requirements for Specific Objective 19
must score at least a   scored at least a  
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must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Elementary Algebra - direct and inverse proportion - book extract (Saylor.org) Elementary Algebra - direct and inverse proportion - book extract (Saylor.org)
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Ratio and Proportion - book extract (Commonwealth of Learning) Ratio and Proportion - book extract (Commonwealth of Learning)
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
20. Solve problems involving direct variation and inverse variation.
 
Move done incomplete Curriculum Requirements for Specific Objective 20 Curriculum Requirements for Specific Objective 20
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Variation (OpenAlgebra.com) Variation (OpenAlgebra.com)
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Elementary Algebra - direct and inverse proportion - book extract (Saylor.org) Elementary Algebra - direct and inverse proportion - book extract (Saylor.org)
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Ratio and Proportion - book extract (Commonwealth of Learning) Ratio and Proportion - book extract (Commonwealth of Learning)
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Open Algebra Textbooks
 
Move done incomplete Open Textbook Information Open Textbook Information
must score at least a   scored at least a  
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must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Basic Algebra (CK-12) Basic Algebra (CK-12)
must score at least a   scored at least a  
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must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Beginning & Intemediate Algebra (Saylor Foundation) Beginning & Intemediate Algebra (Saylor Foundation)
must score at least a   scored at least a  
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must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete College Algebra (Boundless) College Algebra (Boundless)
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Move done incomplete Everything Maths (Siyavula) Everything Maths (Siyavula)
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
Self Assessment Activities
 
Move done incomplete Algebra Self Assessment Quiz Algebra Self Assessment Quiz
must score at least a   scored at least a  
must score no more than a   scored no more than a 
must view the page viewed the page
must contribute to the content of the page contributed to the content of the page
must submit the assignment submitted the assignment
   
   
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