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Worksheets

Yellow Book - Algebra C

Total questions: 62

Worksheet time: 31mins

Name
Class
Date
1.

The ____ is stated in the magnitude of the absolute or relative error of the approximated value

a)

precision

b)

accuracy

c)

mistake

d)

error

2.

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

a)

whole number

b)

leading digit

c)

tens digit

d)

units digit

3.

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

a)

leading digit

b)

significant figure

c)

decimal number

d)

numerals

4.

In algebra, the operation of the root extraction is called

a)

evolution

b)

involution

c)

revolution

d)

indexing

5.

The operation of raising to the integral power known as

a)

evolution

b)

involution

c)

revolution

d)

indexing

6.

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

a)

terms

b)

expression

c)

dividends

d)

factors

7.

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

a)

coefficient

b)

identity

c)

power

d)

algebraic sum

8.

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

a)

term

b)

coordinates

c)

function

d)

domain

9.

Indicate the false statement

a)

the objects in a set are called its elements

b)

even numbers is either rational or irrational

c)

the additive inverse of number “a” is 1/a

d)

the negative of zero is zero

10.

A symbol holding a place for an unspecified constant is called

a)

arbitrary constant

b)

parameter

c)

variable

d)

all of the above

11.

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 are not significant

12.

The sum of any point number and its reciprocal is

a)

always less than 2

b)

always equal to 2

c)

always greater than 2

d)

always equal to the number’s additive inverse

13.

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

a)

infinity

b)

zero

c)

one

d)

indeterminate

14.

If a is an odd number and b is an even number, which of the following must be even?

a)

a + b

b)

a – b

c)

ab

d)

a/b

15.

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

a)

multiplier

b)

minuend

c)

multiplicand

d)

product

16.

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

a)

addend

b)

multiple

c)

factor

d)

summation

17.

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

a)

augend

b)

minuend

c)

dividend

d)

addend

18.

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

a)

imaginary number

b)

complex number

c)

radical

d)

compound number

19.

The absolute value of a non-zero number is

a)

always zero

b)

always negative

c)

always positive

d)

sometimes zero and sometimes positive

20.

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

a)

least common denominator

b)

common multiple

c)

factors

d)

binomial

21.

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

a)

linear

b)

quadratic

c)

cubic

d)

repeated

22.

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

a)

linear

b)

quadratic

c)

cubic

d)

quartic

23.

Which of the following statements is NOT true?

a)

the sum of even numbers is even

b)

the difference of even numbers is even

c)

the product of even numbers is even

d)

the quotient of even numbers is even

24.

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

a)

negative values

b)

zero

c)

one

d)

positive values

25.

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 the associative law for multiplication

d)

x2 – y2 = (x + y)(x – y)

26.

For any two rational number a/b and c/d, which of the following relations is true?

a)

a/b + c/d = ab/cd

b)

a/b + cd = (ab + cd)/ad

c)

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

d)

ab + cd = ac/bd

27.

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

a)

ad = bc

b)

ac = bd

c)

ab = cd

d)

a + b = c + d

28.

Any number divided by infinity equals

a)

0

b)

1

c)

infinity

d)

indeterminate

29.

The study of the properties of positive integers is known as

a)

number of theory

b)

theory of equation

c)

set theory

d)

arithmetic

30.

Indicate the false statement

a)

a quotient 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

31.

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

a)

scientific notation

b)

exponential

c)

irrational

d)

logarithm

32.

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

a)

transcendental number

b)

Euler’s number

c)

irrational number

d)

natural number

33.

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

a)

irrational numbers

b)

transcendental numbers

c)

imaginary numbers

d)

composite

34.

All numbers multiplied by ____ equals unity

a)

negative of the number

b)

one

c)

conjugate

d)

its reciprocal

35.

The numbers denoted as “e” and equal to 2.718… is called the

a)

Einstein constant

b)

Euler’s number

c)

Fibonacci number

d)

Fermat’s number

36.

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

a)

factorial

b)

exponent

c)

summation

d)

all of the above

37.

Simplify

 n!(n1)!\frac{n!}{\left(n-1\right)!}  

a)

n + 1

b)

n – 1  

c)

(n + 1)!

d)

n

38.

The factorial symbol (!) was introduced in 1808 by

a)

Christian Goldbach

b)

Christian Kramp

c)

Christian Leatner

d)

Robert Hooke

39.

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

a)

Goldbach conjecture

b)

Fibonacci series

c)

Number conjecture

d)

Fermat’s last theorem

40.

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

a)

Fermat’s last theorem

b)

Fibonacci numbers

c)

Goldbach conjecture

d)

triangular numbers

41.

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?

a)

Mersene numbers

b)

Fermat numbers

c)

Euler numbers

d)

Pseudo number

42.

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

a)

Pythagorean theorem

b)

Mersenne theorem

c)

Goldbach theorem

d)

Fermat’s theorem

43.

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

a)

rounding off

b)

truncation

c)

rounding up

d)

rounding down

44.

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

a)

empty

b)

null

c)

power set

d)

union

45.

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

a)

union

b)

intersection

c)

normal set

d)

subset

46.

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

a)

convergent series

b)

divergent series

c)

geometric series

d)

none of the above

47.

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

a)

convergent series

b)

divergent series

c)

geometric series

d)

none of the above

48.

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

a)

π\pi

b)

e

c)

2\sqrt{2}

d)

3\sqrt{3}

49.

Refers exclusively to equations with integer solution

a)

determinate equations

b)

indeterminate equations

c)

Diophantine equations

d)

L’Hospital’s equations

50.

“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?

a)

all chemists think solution

b)

all students can think

c)

all students take chemistry

d)

all teachers can sing

51.

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

a)

science

b)

arts

c)

mathematics

d)

astronomy

52.

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

a)

quod erat daciendum

b)

quod erat demonstrandum

c)

quod erat decientrandum

d)

none of the above

53.

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

a)

isometric series

b)

divergent series

c)

dissonant series

d)

convergent series

54.

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

a)

mathematical deduction

b)

mathematical opposition

c)

mathematical conversion

d)

mathematical induction

55.

The set of all subsets of a given set, containing the empty set and the original set

a)

intersection

b)

power set

c)

proper subset

d)

improper subset

56.

A sequence having a defined first and last term is called

a)

infinite sequence

b)

convergent sequence

c)

divergent sequence

d)

finite sequence

57.

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

a)

absolute convergent

b)

conditional convergent

c)

infinite convergent

d)

finite convergent

58.

A convergent series is said to be ____ if it diverges when the terms are replaces by their absolute values

a)

absolute convergent

b)

conditional convergent

c)

infinite convergent

d)

finite convergent

59.

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

a)

least common denominator

b)

least common multiple

c)

least square

d)

A or B

60.

The sum of all the exponents of the several variables of the term is referred to as the _____ of the term

a)

power

b)

degree

c)

partial product

d)

absolute power

61.

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

a)

John Venn

b)

Jan Michael Venn

c)

James Venn

d)

Stephen Venn

62.

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

a)

Bhaskara

b)

Brahmagupta

c)

Leonhard Euler

d)

Robert Recorde