Chapter 1

Question 1

Whole numbers

Answer 1

Any positive whole number, including zero

Question 2

Integers

Answer 2

Any whole number, positive or negative, including zero

Question 3

Rational numbers

Answer 3

Any number that terminates or repeats, includes fractions and everything.

Question 4

Irrational numbers

Answer 4

Any endless non repeating number, like pi

Question 5

Closure property of addition

Answer 5

A+ B = a real number

Question 6

Closure property of multiplication

Answer 6

AB = a real number

Question 7

Commutative property of addition

Answer 7

A+B=B+A

Question 8

Commutative property of multiplication

Answer 8

Ab=bA

Question 9

Associative property of addition

Answer 9

(A+b)+c= a+(b+c)

Question 10

Associative property of multiplication

Answer 10

A(bc)=(ab)c

Question 11

Identative property of addition

Answer 11

A+0=a a+0=a a is the additive identity

Question 12

Identative property of multiplication

Answer 12

Ax1=a ax1=A a is the multiplicative identity

Question 13

Inverse property of addition

Answer 13

A+(-a) = 0

Question 14

Inverse property of multiplication

Answer 14

A x 1/A =1 A is not equal to 0

Question 15

Distributive property

Answer 15

A(b+c) = ab+ac

Question 16

When is an equation considered never true?

Answer 16

When you simplify it and get an untrue equation ex. 4=3

Question 17

When is an equations considered sometimes true

Answer 17

When you simplify it and get a number x and another number ex. 4x=8

Question 18

When is an equation considered always true

Answer 18

When you simplify it and are left with a true statement ex 6=6

Question 19

The graph of an “and” equality….

Answer 19

Face each other making a section of answers that make both statements true

Question 20

The graph of an “or” equation…

Answer 20

Will have arrows facing apart from eachother,

Question 21

Steps for solving an absolute value equation

Answer 21

1. Isolate the absolute value
2. Set the 2 solutions (one negative, and one positive)
3. Solve both
4. Check for extraneous solutions
   5 stop writing

Question 22

Solving absolute value inequalities. |a|<b></b>

Answer 22

1. Isolate the absolute value

2. Set up as -b<a></a>

Question 23

Solving absolute value equations |a|>b “or”

Answer 23

1. Isolate the absolute value
2. Write as ab (flip sign for negative)
3. Solve on both sides
4. Check for extraneous solutions
5. Stop writing.

Question 24

Natural numbers

Answer 24

Any whole number that is positive, does not include zero