R1.a.i.

115/32 (note: you should give different examples for all of these except part ix)

ii.

-Ö 117

iii.

Ö (-117)

iv.

e

v.

-266

vi.

1275

vii.

37

viii.

37.2

ix.

0

x.

no answer (why not?)

b.i.

integer, digit, even, positive, rational, real, natural (or counting)

ii.

integer, negative, rational, real, odd

iii.

positive, irrational, real, radical

iv.

imaginary

v.

positive, rational, real; could also say "non-integer," since this term (as defined by your book) does not apply to the others

R2.a.i.

Write the def. from p.3.

ii.

Write the def. from p.37.

iii.

Write the def. from p.37.

iv.

Write the def. from p.36.

c.i.

Def. of division

ii.

Mult. prop. of -1 (see p.41)

iii.

Recip. of a product (see p.39)

iv.

Substitution (since -1 is its own reciprocal; and why is that true?)

v.

Assoc. ´

vi.

Commut. ´

vii.

Assoc. ´

viii.

Def. of division

ix.

Mult. prop. of -1 (see p.41)

x.

Transitivity (=)

R3.a.i.

cubic binomial

ii.

not a polynomial (why not?)

iii.

not a polynomial (why not?)

iv.

quartic binomial

v.

quintic monomial

vi.

quadratic trinomial

b.i.

9

ii.

8

iii.

21

iv.

3x² - 17x - 56

v.

39x - 121

c.i.

7 when x=5; -20 when x=-4

ii.

0 when x=5; 18 when x=-4

iii.

76 when x=5; 67 when x=-4

R4.a.i.

{-6} and by the way, you do need the curly braces for full credit here (show your work, too)

ii.

Æ

iii.

{-3, 2/3}

iv.

{3/2}; incidentally, why is -3 not in the solution set?

v.

{9, -9}

b.i.

open circle on 2.5, arrow going to the left
set notation: {x Î Â : x<2.5}

ii.

solid circle on -3, arrow going to the right
set notation: {x Î Â : x³ -3}

iii.

solid dots on all integers -4 and below, as well as 8 and above
set notation: {x Î Z: x£ -4 or x³ 8}; note that you cannot say "x£ -4 and x³ 8"--you must say "x£ -4 or x³ 8" (why?)

iv.

solid dots on -1, 0, 1, 2, and 3 only
set notation: {x Î Z: -1£ x£ 3}, or you could simply say {-1, 0, 1, 2, 3}

T1.a.

xyz + 1 (give different examples of your own for all these problems)

b.

x²y³

c.

x² + 3x + 5

d.

Ö x

e.

-12.4

f.

Ö 16

g.

3 · 1 = 3

h.

3 + (-3) = 0

T7.

{complex numbers}

T12.a.

Given (hypothesis)

b.

Def. of > (see blue box on p.48)

c.

Positives are closed under + (where is this stated for you?)

d.

Two steps combined: Def. of subtraction, plus Assoc. +

e.

Additive inv., Subst.

f.

Additive ident.

g.

Def. of >