Chapter One

Question 1

Set

Answer 1

is a well defined collection of distinct objects.

Question 2

Elements

Answer 2

Objects of a Set

Question 3

Well-defined

Answer 3

that there us a rule that enables us to determine whether a given object is an element or a set.

Question 4

Empty Set/Null Set

Answer 4

a set that has no elements

Question 5

Venn diagrams

Answer 5

represents sets as circles enclosed in an rectangle, which represents the universal set.

Question 6

Counting Numbers or Natural Numbers

Answer 6

1,2,3,4,…

Question 7

Integers

Answer 7

are the set of numbers -3,-2,-1,0,1,2,3

Question 8

Rational Number

Answer 8

is a number that can be expressed as a quotient a/b of two integers.

Question 9

numerator

Answer 9

a in a/b

Question 10

denominator

Answer 10

b in a/b

Question 11

irrational numbers

Answer 11

may be represented by a decimal that neither repeats nor terminates. in other words irrational numbers cannot be written in the form a/b where a,b are integers and b =/= 0.

Question 12

real numbers

Answer 12

is the union of the set of rational numbers with the set of irrational numbers

Question 13

Exact Numbers

Answer 13

are the numbers whose value is known with 100% certainty and accuracy.

Question 14

Number of Significant digits

Answer 14

in a number represents the level of approximate numbers

Question 15

distance formula

Answer 15

provides the straightforward method for computing the distance between 2 points.
d(P1,P2)=V—(X2-X1)2+(y2-y1)2

Question 16

Midpoint formula

Answer 16

M=(x,y) of the line segment from P1=(X1,Y1) to P2=(X2,Y2) is M=(X,Y)= (X1+X2/2,Y1+Y2/2)

Question 17

medians of a triangle

Answer 17

are the kine form each vertex to the midpoint of the opposite side.

Question 18

Equilateral Triangle

Answer 18

is one in which all three sides are of equal sides are of equal length.

Question 19

Identity

Answer 19

an equation that is satisfied for every choice of the variable for which both sides are defined.

Question 20

Linear equation in one variable

Answer 20

is equivalent to an equation of the form. ax+b=/=0

Question 21

rational equation

Answer 21

is an equation that contains a rational expression.

Question 22

Extraneous solutions

Answer 22

process of creating equivalent equations leads to apparent solutions that are not solutions of the original equations.

Question 23

Quadratic Formula

Answer 23

ax2+bx+c=0 a=/=0

Question 24

Complex numbers

Answer 24

are numbers of the form a+bi, where a and b are real numbers. The real number a is called the real part of the number a+bi; the real number b is called the imaginary of a+bi.

Question 25

Conjugate

Answer 25

of a real number is the real number itself.

Question 26

radical equation

Answer 26

when the variable in an equation occurs in a square root, cube root, and so on.