Chapter 5: Algebra

Chapter 5: Algebra

1. The laws of arithmetic

   • Commutative Law
     • Addition and subtraction are commutative operations
     • Multiplication and division aren't
     • Says that you can operate with two numbers in reverse order
   • Associative Law
     • Addition and multiplication are associative
     • Division and subtraction aren't
     • Says that when operating with more than two numbers you can group them in any way

2. The distributive law

   • Multiply the number outside the grouping systems by each term inside
   • You can multiply a number by splitting it into the sum of other numbers

3. Variables

   • A letter that stands for a number
   • An algebraic equation is an expression that has pronumerals in it

4. From words to algebraic expressions

   • Use variables to covert worded expressions into algebraic expressions

5. Substitution

   • Substitution one thing with another
   • In algebra it means to replace the pronumeral with a number to evaluate an algebraic expression

6. Equations

   • Rule: An equation always has an equal sign
   • Can use "guess and check"
   • Solution given by value of x

7. One-step equations

   • Backtracking method
   • Balancing method

8. Two-step equations

9. Equation problems

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