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Chapter 5: Algebra

1 The laws of arithmetic

1.1 Commutative Law

1.1.1 Addition and subtraction are
commutative operations

1.1.2 Multiplication and division aren't

1.1.3 Says that you can operate with
two numbers in reverse order

1.2 Associative Law

1.2.1 Addition and multiplication
are associative

1.2.2 Division and subtraction aren't

1.2.3 Says that when operating with more than two
numbers you can group them in any way

2 The distributive law

2.1 Multiply the number outside the
grouping systems by each term
inside

2.2 You can multiply a
number by splitting it into
the sum of other numbers

3 Variables

3.1 A letter that stands
for a number

3.2 An algebraic equation
is an expression that
has pronumerals in it

4 From words
to algebraic
expressions

4.1 Use variables to covert worded
expressions into algebraic expressions

5 Substitution

5.1 Substitution one
thing with another

5.2 In algebra it means to replace the
pronumeral with a number to
evaluate an algebraic expression

6 Equations

6.1 Rule: An equation
always has an equal sign

6.2 Can use "guess and check"

6.3 Solution given by value of x

7 One-step equations

7.1 Backtracking method

7.2 Balancing method

8 Two-step equations

9 Equation problems