Balance the following equations:

(a)

(b)

(c)

(d)

(e)

(f)

(g)

1.1 The Basics of Algebra A. Evaluate B. Translate C. Number sets ● Real Numbers ○ Rational: You know exactly which digit comes next, ex: ⅓ = . 3333... ■ Integers ● Whole numbers: 0, 1, 2, 3, 4... ● Natural numbers: “a subset of whole numbers” ex: 1, 2, 3, 4, 5… ■ Nonintegers ● Ex: 4.7, ¾ ○ Irrational: You do NOT know what digit comes next, ex: , √2 ∈ = element of ⊂ = subset of ∉ = not an element of ⊄ = not a subset of Examples: N ∈ W = Natural numbers are an element of Whole numbers W ∉ Irr. = Whole numbers are not an element of irrational numbers 4.5 ⊂ R = 4.5 is a subset of rational numbers 1.2 Operation Properties I. Commutative Law II. Associative Law III. Distributive Law I. a*b*c = (a*c)b => a*c, b*c, a/c, b/c II. a+(b+c) = (b+c)+a => a+c, b+c, ac, bc III. c(a+b) = ac + b Parenthesis Exponents Anything over 0 is undefined Multiply Anything under 0 is zero Divide Add Subtract 1