Integrated Course 1 - Algebra mk3

Scientific Notation

A numbers is said to be in ______ when it is written as the product of a number having the decimal point just after the leading digit, and a power of 10.

common multiple

A polynomial which is exactly divisible by two or more polynomials is called

0

Any number divided by infinity equals

factors

Each of two or more numbers which is multiflied together to form a product are called

a/b + c/d = (ad+bc) / bd

For any two rational number a/b and c/d, which of the following realtionship is true? a. a/b + c/d = ab/cd b. a/b + cd = (ab+cd) / ad c. a/b + c/d = (ad+bc) / bd d. ab + cd = ac/bd

ab

If a is an odd number and b is an even number, which of the following expression must be even? a. a + b b. a - b c. ab d. a/b

Diophantine Equations

Refers exclusively to equations with integers solutions.

always positive

The absolute value of non-zero number is

e

The sum of the factorial infinite 1 + 1/1! + 1/2! + 1/3! + 1/4! + ... is

Robert Recorde

The symbol of equality ( = ) was introduced in 1557 by

Johnn Venn

Venn diagram is a pictorial representation which helps us visualize the relations and operations with sets. This was intruduced by

its reciprocal

Any number multiplied by _______ equals unity.

addend

Any one of the individual constant of an expressed sum of constant is called

augend

In the equation 5 + 2 = 7, 5 is known as

n

Simplify n!/( n - 1 ) !

Zero

What is the absolute value of a number less than one but greater than negative one raised to exponent infinity?

Complex number

A number of the form a + bi with a and b real constant and i is the square root of -1.

transcendental number

A number which cannot be a root of an integral rational equation is called

Finite sequence

A sequence having a defined first and last terms is called

Divergent series

A sequence of numbers where the succeeding term is greater than the preceding term.

linear

If the degree of the numerator is one more than the degree of the denominator, the quotient is a _________ polynomial.

multiplicand

In the equation n x m = q, n is called the

Goldbach conjecture

The conjecture that every even number (except 2) equals the sum of two prime numbers.

Transcendental numbers

Refers to the numbers which are not the roots of any algebraic equation.

Least common denominator

Refers to the product of the several prime numbers occuring in the denominations, each taken with greater multiplicity.

duod erat demonstratum

QED is often written at the end of a proof to indicate that its conclusion has been reached. This means

All students take chemistry.

"My Dear Aunt Sally" is the basic rule used I operation of algebra. Which is used in determining the signs of trigonometric functions in all quadrants?

conditional convergent

A covergent series is said to be _______ if it diverges when terms are replaces by their absolute values.

quadratic

A polynomial with real coefficient can be factored into real linear factors and irreducible ________ factors.

Function

A relationship in which every ordered pair (x,y) has one and only one value of y that corresponds to the value of x is called

absolute convergent

A series is said to be _______ if it converges when the terms are replaced by their absolute value.

intersection

A set containing the elements that is common to the original sets.

Power set

A set of all subset of a given set, containing the empty set and the original set.

arbitrary constant parameter variable (all of the above)

A symbol holding a place for sn unspecified constant is called

Fertmat's theorem

A theorem which states that if n > 2, the equation xn + yn = zn cannot be solved in positive integers x, y, and z.

zero

For every law of addition and subtraction, there is a parallel law for multiplication and division, except divison by

Convergent series

If an infinite series has a finite sum, it is referred to as a

Divergent series

If an infinite series has no sum, it is referred to as a

Evolution

In algebra, the operation of the root extraction is called

a3 - b3 = ( a + b )( a2- ab + b2 )

Indicate the FALSE statement. a. A qoutient of two polynomials is called as rational algebraic expression. b. a3 - b3 = ( a + b )( a2- ab + b2 ) c. The equation ax + b = 0 has exactly one root. d. The equation 3x2 + 2y2 - 3x + 2y = 10

ab = ba is associative law for multiplication.

Indicate the FALSE statement: a. The multiplicative identity is 1. b. The product of a positive number and a negative number is negative. c. ab = ba is associative law for multiplication. d. x2 - y2 = (x + y)(x - y)

The additive inverseof number "a" is 1/a.

Indicate the false statement. a. The objects in a set are called its elements. b. Even number is either rational or irrational c. The additive inverseof number "a" is 1/a. d. The negative of zero is zero.

Significant figure

It is anyone of the digit from 1 to 9 inclusive, and 0 except when it is used to place a decimal.

Fermats number

It was conjecture that the number in the form, Fp = 2p+1 will always result to a prime number, however proved wrong. What do you call the numbers obtain using the said formula?

Christian Kramp

The factorial symbol (!) was introduced in 1808 by

Leading digit

The first non-zero digit from the left of the number.

Mathematics

The investigation of numbers, space and many generalizations of these concepts created by the intellectual genius of man.

factorial

The notation that represent the product of all positive integers from 1 to a number, n, inclusive

Euler's Number

The number denoted as "e"and equals to 2.718... Is called the

truncation

The number π = 3.141592563.. If only four decimals are required, it becomes 3.1415 This process is called

Involution

The operation of raising to the integral power known as

Mathematical deduction

The process of reasoning wherein a final conclusion is obtained by experimental method.

Number of Theory

The study of the properties of positive integers is known as

always greater than 2

The sum of any point number and its reciprocal is

degree

The sum of the exponents of the several variables of the term is reffered to as the _______ of the term.

Fibonacci numbers

The unending sequence of integers formed according to the rule that each integer is the sum of the preceeding two.

ad = bc

Two rational numbers a/b and c/d are said to be equal if

power

When the factors of a product are equal, the product is called a _________ of the factor.

Any zero not needed for placing a decimal point is not significant.

Which of the following is NOT true about significant figures? a. All non-zero digits are significant. b. Any zero between non-zero digits are significant. c. Any zero not needed for placing a decimal point is not significant. d. Zeros used for the purpose of placing a decimal point arte significant.

The quotient of even number is even.

Which of the following statement is NOT true? a. The sum of even number is even. b. The difference of even number is even. c. The product of even number is even. d. The quotient of even number is even.