Chapter 0

Question 1

Set

Answer 1

A collection of objects or numbers often shown with braes { } and usually named by a capital letter.

Question 2

element

Answer 2

each object or number in a set or each entry in a matrix.

Question 3

subset

Answer 3

when every element of Set B is contained in set A, then B is a subset of A. Symbol is C

Question 4

universal set

Answer 4

The set of all possible elements for a situation. Symbol is U.

Question 5

complement

Answer 5

If B is a subset of A then all of the possible elements of the set A that are not included in set B. Symbol is B’ .

Question 6

union

Answer 6

All the elements of both set A and B, written as A U B.

Question 7

intersection

Answer 7

All elements found in both sets A and B, written as A n B.

Question 8

empty set

Answer 8

a set with no elements symbolized by { } or Ø.

Question 9

∈

Answer 9

a symbol that means it is an element of.

Question 10

∉

Answer 10

symbol that means is not an element of.

Question 11

imaginary unit

Answer 11

i, or the principal square root of -1

Question 12

complex numbers

Answer 12

any number that can be written in the form a+bi, where A and B are real numbers and i is the imaginary unit.

Question 13

standard form

Answer 13

a complex number written in the form a+bi, A is the real part.

Question 14

real part

Answer 14

in an imaginary number a+bi, A is the real part

Question 15

imaginary part

Answer 15

in an imaginary number a+bi, B is the imaginary part

Question 16

imaginary number

Answer 16

another name for a complex number of the form a+bi, where B cannot equal 0.

Question 17

pure imaginary number

Answer 17

An imaginary number (a+bi) where A = 0 ( which means no real parts exist )

Question 18

complex conjugates

Answer 18

Two complex numbers of the form a+bi and a-bi.

Question 19

parabola

Answer 19

A “U” shaped graph.

Question 20

axis of symmetry

Answer 20

A line about which a figure is symmetric (mirror image about a line). Found by x= -b/ 2a

Question 21

vertex

Answer 21

A point at which a parabola intersect it axis of symmetry. X coordinate is found by -b/2a

Question 22

quadratic equation

Answer 22

A polynomial equation of degree two, in the form of ax2+ bx2+ c= 0, where a does not equal 0

Question 23

zero product property

Answer 23

For any real numbers A and B, if AB=0, then either a=0 or b=0 or both A and B = 0

Question 24

completing the square

Answer 24

A process used to make a quadratic expression into a perfect square trionomial.

Question 25

quadratic equations

Question 26

principle Nth Root

Answer 26

The nonnegative root.

Question 27

nth root

Answer 27

for any real numbers A and B, and any positive integer n, if a^n= b, then A is the nth root of B

Question 28

product property of radicals

Question 29

quotient property of radicals

Question 30

rational to radical form B 1/n

Answer 30

square root of B’

Question 31

systems of equations

Answer 31

A set of equations with the same variables.

Question 32

rational to radical format B m/n

Answer 32

square root of B^m

Question 33

substitution method

Answer 33

A method of solving a system of equations in which one equation is solved for one variable in terms of the other

Question 34

elimination method

Answer 34

A method of solving a system of quit ions in which adding and subtracting the equations is used to eliminate one variable.

Question 35

consistent

Answer 35

a system of equations that has at least one solution

Question 36

independent

Answer 36

When a system of linear equations has exactly one solution ( lines cross once)

Question 37

dependent

Answer 37

When a system of equations has an infinite number of solutions ( lines are parallel and are the same)

Question 38

inconsistent

Answer 38

A system of equations that has no solutions (lines are parallel and do not touch)

Question 39

system of inequalities

Answer 39

Set of inequalities with the same variables

Question 40

matrix

Answer 40

Any rectangular array of variables or constants in horizontal rows and vertical columns

Question 41

element

Answer 41

each entry in a matrix

Question 42

dimensions

Answer 42

a description of the number of rows and columns of a matrix

Question 43

row matrix

Answer 43

a matrix that has one row

Question 44

column matrix

Answer 44

A matrix that has only one column

Question 45

square matrix

Answer 45

has the same amount of columns and rows

Question 46

zero matrix

Answer 46

a matrix in which every element is zero

Question 47

equal matrix

Answer 47

two matrices that have the same dimensions and each element of one matrix is equal to the corresponding element of the other matrix.