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WorksheetsYellow Book - Algebra C
Total questions: 62
Worksheet time: 31mins
The ____ is stated in the magnitude of the absolute or relative error of the approximated value
precision
accuracy
mistake
error
The first non-zero digit from the left of the number.
whole number
leading digit
tens digit
units digit
It is any of the digit from 1 to 9 inclusive, and 0 except when it is used to place a decimal.
leading digit
significant figure
decimal number
numerals
In algebra, the operation of the root extraction is called
evolution
involution
revolution
indexing
The operation of raising to the integral power known as
evolution
involution
revolution
indexing
Each of two or more numbers which is multiplied together to form a product are called
terms
expression
dividends
factors
When the factors of a product are equal, the product is called _____ of the repeated factor.
coefficient
identity
power
algebraic sum
A relation in which every ordered pair (x, y) has one and only one value of y that corresponds to the value of x is called
term
coordinates
function
domain
Indicate the false statement
the objects in a set are called its elements
even numbers is either rational or irrational
the additive inverse of number “a” is 1/a
the negative of zero is zero
A symbol holding a place for an unspecified constant is called
arbitrary constant
parameter
variable
all of the above
Which of the following is NOT true about significant figures?
all non-zero digits are significant
any zero between non-zero digits are significant
any zero not needed for placing a decimal point is not significant
zeros used for the purpose of placing a decimal point are not significant
The sum of any point number and its reciprocal is
always less than 2
always equal to 2
always greater than 2
always equal to the number’s additive inverse
What is the absolute value of a number less than one but greater than negative one raised to exponent infinity?
infinity
zero
one
indeterminate
If a is an odd number and b is an even number, which of the following must be even?
a + b
a – b
ab
a/b
In the equation n x m = q, n is called the
multiplier
minuend
multiplicand
product
Any one of the individual constants of an expressed sum of constant is called
addend
multiple
factor
summation
In the equation 5 + 2 = 7, 5 is known as
augend
minuend
dividend
addend
A number of the form a + bi with a and b real constant and i is the square root of – 1.
imaginary number
complex number
radical
compound number
The absolute value of a non-zero number is
always zero
always negative
always positive
sometimes zero and sometimes positive
A polynomial which is exactly divisible by two or more polynomials is called
least common denominator
common multiple
factors
binomial
A polynomial with real coefficient can be factored into real linear factors and irreducible _____ factors
linear
quadratic
cubic
repeated
If the degree of the numerator is one more than the degree of the denominator, the quotient is a ____ polynomial
linear
quadratic
cubic
quartic
Which of the following statements is NOT true?
the sum of even numbers is even
the difference of even numbers is even
the product of even numbers is even
the quotient of even numbers is even
For every law of addition and subtraction, there is a parallel law for multiplication and division, except division by
negative values
zero
one
positive values
Indicate the false statement:
the multiplicative identity is 1
the product of a positive number and a negative number is negative
ab = ba is the associative law for multiplication
x2 – y2 = (x + y)(x – y)
For any two rational number a/b and c/d, which of the following relations is true?
a/b + c/d = ab/cd
a/b + cd = (ab + cd)/ad
a/b + c/d = (ad +cb)/bd
ab + cd = ac/bd
Two rational numbers a/b and c/d are said to be equal if
ad = bc
ac = bd
ab = cd
a + b = c + d
Any number divided by infinity equals
0
1
infinity
indeterminate
The study of the properties of positive integers is known as
number of theory
theory of equation
set theory
arithmetic
Indicate the false statement
a quotient of two polynomials is called as rational algebraic expression
a3 – b3 = (a + b) (a2 – ab + b2)
the equation ax + b = 0 has exactly one root
the equation 3x2 + 2y2 – 3x + 2y = 10
A number 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
scientific notation
exponential
irrational
logarithm
A number which cannot be a root of an integral rational equation is called
transcendental number
Euler’s number
irrational number
natural number
Refers to the numbers which are not the roots of any algebraic equation
irrational numbers
transcendental numbers
imaginary numbers
composite
All numbers multiplied by ____ equals unity
negative of the number
one
conjugate
its reciprocal
The numbers denoted as “e” and equal to 2.718… is called the
Einstein constant
Euler’s number
Fibonacci number
Fermat’s number
A notation that represent the product of all positive integers from 1 to a number, n, inclusive
factorial
exponent
summation
all of the above
Simplify
(n−1)!n!n + 1
n – 1
(n + 1)!
n
The factorial symbol (!) was introduced in 1808 by
Christian Goldbach
Christian Kramp
Christian Leatner
Robert Hooke
The conjecture that every even number (except 2) equals the sum of two prime numbers.
Goldbach conjecture
Fibonacci series
Number conjecture
Fermat’s last theorem
The unending sequence of integers formed according to the rule that each integer is the sum of the preceding two
Fermat’s last theorem
Fibonacci numbers
Goldbach conjecture
triangular numbers
It was conjecture that the number in the Fp = 2p + 1 will always result to a prime number, however proved wrong. What do you call the numbers obtained using the said formula?
Mersene numbers
Fermat numbers
Euler numbers
Pseudo number
A theorem which states that if n > 2, the equation xn + yn = zn can not be solved in positive integers x, y and z
Pythagorean theorem
Mersenne theorem
Goldbach theorem
Fermat’s theorem
The number π = 3.141592563… if only four decimals are required, it becomes 3.1415 This process is called
rounding off
truncation
rounding up
rounding down
A set of all subsets of a given set, containing empty set and the original set
empty
null
power set
union
A set containing the elements that is common to the original sets
union
intersection
normal set
subset
If an infinite series has a finite sum, it is referred to as a
convergent series
divergent series
geometric series
none of the above
If an infinite series has no sum, it is referred to as a
convergent series
divergent series
geometric series
none of the above
The sum of the factorial infinite 1/1! + 1/2! + 1/3! + 1/4!... is
π
e
2
3
Refers exclusively to equations with integer solution
determinate equations
indeterminate equations
Diophantine equations
L’Hospital’s equations
“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?
all chemists think solution
all students can think
all students take chemistry
all teachers can sing
The investigation of numbers, space, and many generalizations of these concepts created by the intellectual genius of man
science
arts
mathematics
astronomy
QED is often written at the end of a proof to indicate that its conclusion has been reached. This means
quod erat daciendum
quod erat demonstrandum
quod erat decientrandum
none of the above
A sequence of numbers where the succeeding term is greater than the preceding term
isometric series
divergent series
dissonant series
convergent series
The process of reasoning wherein a final conclusion is obtained by experimental method.
mathematical deduction
mathematical opposition
mathematical conversion
mathematical induction
The set of all subsets of a given set, containing the empty set and the original set
intersection
power set
proper subset
improper subset
A sequence having a defined first and last term is called
infinite sequence
convergent sequence
divergent sequence
finite sequence
A series is said to be ____ if it converges when the terms are replaced by their absolute value
absolute convergent
conditional convergent
infinite convergent
finite convergent
A convergent series is said to be ____ if it diverges when the terms are replaces by their absolute values
absolute convergent
conditional convergent
infinite convergent
finite convergent
Refers to the product of the several prime numbers occurring in the denominations, each taken with its greater multiplicity.
least common denominator
least common multiple
least square
A or B
The sum of all the exponents of the several variables of the term is referred to as the _____ of the term
power
degree
partial product
absolute power
Venn diagram is a pictorial representation which helps us visualize the relations and operations with sets. This was introduced by
John Venn
Jan Michael Venn
James Venn
Stephen Venn
The symbol of equality (=) was introduced in 1557 by
Bhaskara
Brahmagupta
Leonhard Euler
Robert Recorde
