Quiz about aizon2M

Question 1

Which of the following sets of numbers contains all and only the roots of the equation f(x)=x3+7x2-8x?

Accepted Answer

<variant>{0, -8, 1}

Answer

<variant>{0, 2, -1}

Answer

<variant>{0, -1}

Answer

<variant>{0, -7; 1}

Answer

<variant>{0, 8, 1}

Question 2

Give the names of components of these operation :

Accepted Answer

dividend, divisor,quotient

Answer

divisor, product, quotient

Answer

item, summand, sum

Answer

multiplicand, multiplier, product

Answer

minuend, subtrahend, remainder

Question 3

A student was given a piece of rope and told to cut it into two equal pieces, keep one piece, and pass the other piece to the next student. Each student was to repeat this process until every student in the class had exactly one piece of rope. Which of the following could be the fraction of the original rope that one of the students had?

Accepted Answer

<variant>1/16

Answer

a mixed fraction

Answer

<variant>1/17

Answer

a negative number

Answer

an improper fraction

Question 4

What is the tenth term of the pattern below? $$\frac{2}{3}$$ , $$\frac{4}{9}$$ , $$\frac{8}{27}$$ , $$\frac{16}{81}$$

Accepted Answer

$$\left(\frac{2}{3}\right)^{10}$$

Answer

$$\frac{20}{30}$$

Answer

$$\left(2\right)^{10}$$

Answer

$$\frac{2}{3}$$

Answer

$$\frac{2^{10}}{3}$$

Question 5

Lindsay grows only roses and tulips in her garden. The ratio of roses to tulips in her garden is 5:6. If there are 242 total flowers in her garden, how many of them are tulips?

Accepted Answer

<variant>132

Answer

<variant>543

Answer

<variant>198

Answer

<variant>675

Answer

<variant>231

Question 6

Determine k so that the system kx-2y=11

5x+2y=5

has more than one solution.

Accepted Answer

k is equal to 5

Answer

k is a proper fraction

Answer

k is equal to 1

Answer

k is value of a root $$\sqrt[]{81}$$

Answer

k is not equal to 5

Question 7

How to pronounce this fraction $$3\frac{5}{7}$$

Accepted Answer

Three and five sevenths

Answer

Three five sevenths

Answer

Three and five seven

Answer

Three five and sevenths

Answer

Three and fives sevenths

Question 8

Determine so that the system kx+4y=10

3x+6y=15

has more the one solution.

Accepted Answer

<variant> k=2

Answer

<variant> $$k
e5$$

Answer

<variant> k=7

Answer

<variant> k=4

Answer

<variant> k=0

Question 9

Find the equation of the straight line that passes through points (-1.1) and (0.1) .

Accepted Answer

$$y-1=0$$

Answer

$$y-2x=0$$

Answer

$$y-4x=0$$

Answer

$$y+4x-3=0$$

Answer

$$y=x$$

Question 10

If 30% of r is equal to 75% of s, what is 50% of s if r = 30?

Accepted Answer

<variant>6

Answer

<variant>-1

Answer

<variant>12

Answer

square root of 81

Answer

<variant>3

Question 11

Balloons are sold according to the chart above. If a customer buys one balloon at a time, the cost is $1.00 per balloon. If a customer buys ten balloons at a time, the cost is $0.90 per balloon. If Carlos wants to buy 2,000 balloons, how much money does he save by buying 1,000 balloons at a time rather than ten balloons at a time?

Accepted Answer

<variant>$600

Answer

<variant>$300

Answer

<variant>$200

Answer

<variant>$500

Answer

<variant>$800

Question 12

If g>0 and h<0, which of the following is always positive?

Accepted Answer

<variant>g-h

Answer

<variant>|g|-|h|

Answer

<variant>hg

Answer

<variant>gh

Answer

<variant>g+h

Question 13

Based on the portions of the graphs of the functions f and g shown above, what are all values of x between -6 and 6 for which g(x)>f(x)?

Accepted Answer

<variant> -3<x<0 only

Answer

<variant> -6<x<-3 only

Answer

<variant> 3<x<6 only

Answer

<variant> 0<x<3 only

Answer

<variant> -6<x<-3 and 0<x<3

Question 14

If 40% of j is equal to 50% of k, then is

Accepted Answer

25 % larger than k

Answer

80% larger than k

Answer

15% larger than k

Answer

20% larger than k

Answer

10% larger than k

Question 15

1085 is read as

Accepted Answer

one thousand and eighty five

Answer

one thousand eighty and five

Answer

one thousand eighty five

Answer

one thousand eightys five

Answer

one thousands eighty five

Question 16

For the matrix 1 4 2

0 3 1

0 5 0

, find the cofactor of the entry .

Accepted Answer

<variant> -2

Answer

<variant> 4

Answer

<variant> 3

Answer

<variant> 1

Answer

<variant> 2

Question 17

a and b are digits in a four-digit natural number 7a5b. If 7a5b is

divisible by 18, how many different possible values can a have?

Accepted Answer

6

Answer

4

Answer

7

Answer

5

Answer

3

Question 18

If we multiply a number by 2 and add 8, the result is 32. Find the number.

Accepted Answer

<variant> 12

Answer

<variant> 10

Answer

<variant> 16

Answer

index of a root $$\sqrt[]{12}$$

Answer

<variant> 18 cubed

Question 19

The volume of a glass of water placed in the sun decreases by 20%. If there are 240 mL of water in the glass now, what was the original volume of water in the glass?

Accepted Answer

<variant>300 mL

Answer

<variant>260 mL

Answer

<variant>192 mL

Answer

<variant>360 mL

Answer

<variant>288 mL

Question 20

What is half of $$4^2+4^2+4^2$$ ?

Accepted Answer

<variant>24

Answer

the sum of two numbers 45+9

Answer

<variant>48

Answer

a negative number

Answer

<variant>18

Question 21

Which one of the following pairs of numbers is not relatively prime?

Accepted Answer

<variant>52, 39

Answer

<variant>20, 63

Answer

<variant>20, 63

Answer

<variant>37, 42

Answer

<variant>28, 15

Question 22

John is twelve years older than Jenny. The sum of John's age and Jenny's age is 38. How old is Jenny and John:

Accepted Answer

<variant> 13; 25

Answer

<variant> 10; 28

Answer

<variant> 14; 24

Answer

<variant> 12; 26

Answer

<variant> 11; 27

Question 23

Find the biggest number: 11², 2⁷, 5³, 4⁴, 3⁵.

Accepted Answer

<variant> $$4^4$$

Answer

<variant $$5^3$$

Answer

<variant> $$2^7$$

Answer

<variant> $$11^2$$

Answer

<variant> $$3^5$$

Question 24

Give the names of components of these operation :

Accepted Answer

multiplicand, multiplier, product

Answer

dividend, divisor,quotient

Answer

minuend, subtrahend, difference

Answer

item, summand, sum

Answer

divisor, numerator, quotient

Question 25

10592 is read as

Accepted Answer

ten thousand five hundred and ninety two

Answer

ten thousand and five hundred and ninety two

Answer

ten thousand five hundred ninety two

Answer

ten thousand five hundred ninety and two

Answer

ten thousands five hundred and ninety two

Question 26

How many integers are there between the smallest positive integer and the greatest negative integer?

Accepted Answer

2

Answer

0

Answer

3

Answer

4

Answer

1

Question 27

Elementary algebra studies

Accepted Answer

the properties of operations with real numbers

Answer

the properties of vector spaces (including matrices).

Answer

the properties of algebraic structures.

Answer

the algebraic structures such as groups, rings and fields.

Answer

the properties of linear spaces.

Question 28

How many elements are there in set of the letters in the word KAZAKHSTAN?

Accepted Answer

<variant>seven

Answer

<variant>9

Answer

<variant>8

Answer

<variant>ten

Answer

<variant>10

Question 29

It takes eight people 12 hours to clean an office. How long would it take six people to clean the office?

Accepted Answer

<variant>16 hours

Answer

<variant>4 hours

Answer

15 hoursariant>9 hours

Answer

<variant>2 hours

Question 30

A man can do a job in h hours alone and his son can do it in 2h hours alone. Together, how many hours will it take them to do the job?

Accepted Answer

<variant> 2h\3

Answer

<variant> h-6

Answer

<variant> h+5

Answer

<variant> h*3

Answer

<variant> h\5

Question 31

If $$\frac{ab}{c}=d$$ and a and c are doubled, what happens to the value of d?

Accepted Answer

The value of d remains the same

Answer

The value of d is doubled

Answer

The value of d is halved

Answer

The value of d is four times smaller

Answer

The value of d is four times greater

Question 32

If $$\left(x-2\right)^2=9$$ , then x could be

Accepted Answer

square root of 25

Answer

a proper fraction

Answer

<variant> 6

Answer

<variant> 0

Answer

<variant> 8

Question 33

$$\left(a-b\right)\left(a^2+ab+b^2\right)=a^3-b^3$$ is

Accepted Answer

the difference of cubes

Answer

the sum of cubes.

Answer

the difference of squares.

Answer

the cube of difference.

Answer

the square of difference.

Question 34

A dormitory now houses 30 men and allows 42 square feet of space per man. If five more men are put into this dormitory, how much less space will each man have?

Accepted Answer

6 square feet

Answer

7 square feet

Answer

4 square feet

Answer

5 square feet

Answer

8 square feet

Question 35

If $$x e0$$ and $$y e0$$ . $$\frac{\frac{xy}{y}+xy}{\frac{xy}{x}}$$

Accepted Answer

$$\frac{x}{y}+x$$

Answer

$$2\frac{x}{y}$$

Answer

$$\frac{2x}{y}+4$$

Answer

$$\frac{x}{y}-y$$

Answer

$$\frac{x}{y}+y$$

Question 36

In the sequence above, the first term is 4 and each term after the first is 7 more than the previous term. What is the 12th term of the sequence?

Accepted Answer

<variant> 81

Answer

index of a root $$\sqrt[]{25}$$

Answer

<variant> 77

Answer

<variant> 18

Answer

the base of a logarithm $$\log_28$$

Question 37

A spinner is divided into eight equal regions, labeled one through eight. If Jenna spins the wheel, what is the probability that she will spin a number that is less than four and greater than two?

Accepted Answer

<variant>1\8

Answer

<variant>1\3

Answer

square root of 7

Answer

an improper fraction

Answer

a complex number

Question 38

To decompose the polynomial of the third degree $$4x^3+8x^2-x$$ on multipliers:

Accepted Answer

$$\left(4x^2+8x-1\right)x$$

Answer

$$\left(4x^2+8x-x\right)x$$

Answer

$$\left(4x^2+8x-2\right)x$$

Answer

$$\left(x^2+2x-1\right)2x$$

Answer

$$\left(x^2+8x-1\right)x$$

Question 39

$$\frac{\frac{b}{a}-a}{\frac{1}{a^{-1}}}$$ is equivalent to

Accepted Answer

$$\frac{b}{a^2}-1$$

Answer

$$\frac{b^{ }+a^2-b^2}{ab}$$

Answer

$$\frac{b}{a^2}$$

Answer

$$\frac{b-a^2}{ab}$$

Answer

$$\frac{b-1}{a^2}$$

Question 40

If $$\frac{a}{b-4}=\frac{4b}{a}+1$$ , then when a=8, b could be equal to

Accepted Answer

<variant>-4;6

Answer

a mixed fraction

Answer

value of a root $$\sqrt[]{25}$$

Answer

<variant>infinity

Answer

<variant>-6;4

Question 41

The formula $$\left(a+b\right)^2=a^2+2ab+b^2$$ is read

Accepted Answer

The square of the sum of two numbers is equal to the square of the first term, plus twice the product of the first and last terms, plus the square of the last term.

Answer

The product of the sum and difference of two numbers is equal to the difference of the squares of the numbers.

Answer

The product of the sum of two numbers is equal to the difference of the squares of the numbers.

Answer

The square of the difference of two numbers is equal to the square of the first term, minus twice the product of the first and last terms, plus the square of the last term.

Answer

The product of the difference of two numbers is equal to the difference of the squares of the numbers.

Question 42

The expression $$\frac{x^2+2x-15}{x^2+4x-21}$$ is equivalent to

Accepted Answer

$$\frac{x+5}{x+7}$$

Answer

$$x+7$$

Answer

$$\frac{5}{x+7}$$

Answer

$$x+5$$

Answer

$$\frac{x}{x+7}$$

Question 43

A music store offers customized guitars. A buyer has four choices for the neck of the guitar, two choices for the body of the guitar, and six choices for the color of the guitar. The music store offers

Accepted Answer

48 different guitars

Answer

16 different guitars

Answer

36 different guitars

Answer

12 different guitars

Answer

24 different guitars

Question 44

The expression 4x2-2x+3 is equal to 3 when x = 0 and when x =

Accepted Answer

<variant>a half

Answer

<variant>3/4

Answer

<variant>-1/2

Answer

<variant>-1/4

Answer

<variant>one fourth

Question 45

A survey of 50 students in a college showed the following: 23 students take Maths, 25 take English, 26 take Physics, 11 take Maths and English, 13 take Maths and Physics, 9 take English and Physics, and 2 take Maths and English and Physics. How many students don't take any of the subjects?

Accepted Answer

<variant>7

Answer

<variant>6

Answer

<variant>8

Answer

value of a root $$\sqrt[]{81}$$

Answer

<variant>9

Question 46

Which of the following is an irrational number?

Accepted Answer

$$\left(\sqrt[]{32}\right)^3$$

Answer

<variant> $$4^{-3}$$

Answer

$$\sqrt[]{2}\sqrt[]{72}$$

Answer

$$\sqrt[]{\frac{4}{9}}$$

Answer

$$-\left(\sqrt[]{3}\sqrt[]{3}\right)$$

Question 47

On Wednesday Heather ran 3 miles in 30 minutes. If she ran for 45 minutes at this rate on Thursday, how far did Heather run on Thursday?

Accepted Answer

<variant> 4.5 miles

Answer

<variant> 3.5 miles

Answer

<variant> 5.5 miles

Answer

<variant> 5 miles

Answer

<variant> 4 miles

Question 48

If 3x-y=2 and 2y-3x=8, which of the following is equal to $$\frac{x}{y}$$ ?

Accepted Answer

<variant>2/5

Answer

a negative number

Answer

variant>a mixed fraction

Answer

value of a root $$\sqrt[]{\frac{4}{8}}$$

Answer

an improper fraction

Question 49

In a class of 25 boys, 17 boys play football, 12 boys play basketball and 5 boys play both games. How many boys don't play any game?

Accepted Answer

1

Answer

2

Answer

3

Answer

4

Answer

5

Question 50

The expression $$\frac{x\sqrt[]{32}}{\sqrt[]{4x}}$$ is equivalent to

Accepted Answer

$$\frac{2x\ \sqrt[]{2}}{\sqrt[]{x}}$$

Answer

$$\frac{\sqrt[]{2x}}{\sqrt[]{x}}$$

Answer

$$2\sqrt[]{2}$$

Answer

$$2x\ \sqrt[]{2}$$

Answer

$$\sqrt[]{2}$$

Question 51

The fraction is equal to $$\frac{\sqrt[]{3\ }\ -\sqrt[]{2}}{\sqrt[]{2}}$$

Accepted Answer

$$\frac{\sqrt[]{6}-2}{2}$$

Answer

$$\frac{\sqrt[]{6}-\sqrt[]{3}}{2}$$

Answer

$$\frac{\sqrt[]{6}+2}{2}$$

Answer

$$\frac{2-\sqrt[]{2}}{2}$$

Answer

$$\sqrt[]{6}-2$$

Question 52

What is the addition?

Accepted Answer

It is the operation of combining numbers, each of which represents a separate measure of quantity, so as to produce a number representing the measure of all those quantities together

Answer

It is the operation which combines several equal measures of size giving the result as a single number.

Answer

It is the finding of a quantity, the quotient, that when multiplied by a given quantity, the divisor, gives another given quantity, the dividend

Answer

It is operation inverse to multiplication

Answer

It is the operation of finding a number which gives a measure of the difference in size between two quantities or measures.

Question 53

find the sum of two unlike fractions: $$\frac{2}{3}+\frac{3}{4}$$

Accepted Answer

$$1\frac{5}{12}$$

Answer

$$\frac{18}{12}$$

Answer

$$1\frac{5}{7}$$

Answer

$$\frac{6}{12}$$

Answer

$$\frac{5}{12}$$

Question 54

Greg has nine paintings. The Hickory Museum has enough space to display three of them. From how many different sets of three paintings does Greg have to choose?

Accepted Answer

the product of two numbers 12 and 7

Answer

value of a root $$\sqrt[]{25}$$

Answer

the value of a logarithm $$\log_28$$

Answer

<variant>27

Answer

the sum of two unlike fractions 1\7 and 2\5

Question 55

If the expression $$\frac{3}{2+x}=\frac{x-5}{2x}$$ , then one possible value of x could be

Accepted Answer

<variant>-1

Answer

<variant>0

Answer

<variant>2

Answer

<variant>1

Answer

<variant>-10

Question 56

Which of the following is the set of positive factors of 12 that are not multiples of 2?

Accepted Answer

<variant>{1, 3}

Answer

<variant>{}

Answer

{2,4, 6,12}

Answer

<variant>{1,2,3}

Answer

<variant>{1}

Question 57

Find the root(s) of the equation $$y+\sqrt[]{y+5}=7$$

Accepted Answer

<variant>4|

Answer

natural logarithm

Answer

trigonometric functions

Answer

base of a power $$n^2$$

Answer

rational integral functions

Question 58

If m=6, then the expression $$\frac{m^2}{3}-4m+10$$ is equal to

Accepted Answer

<variant>-2

Answer

radicand of a root $$\sqrt[]{5}$$

Answer

<variant>infinity

Answer

a complex number

Answer

<variant>-4

Question 59

When x=-3, the expression -2x²+3x-7=

Accepted Answer

<variant>-34

Answer

<variant>-10

Answer

a positive number

Answer

<variant>5

Answer

<variant>-5

Question 60

10, 18, 4, 15, 3, 21, x.

If is the median of the 7 numbers listed above, which of the following could be the value of x?

Accepted Answer

<variant>14

Answer

a proper fraction

Answer

a negative number

Answer

<variant>9

Answer

the product of two fractions 4/9*3/8

Question 61

The expression $$\frac{x^2+2x-15}{x^2+4x-21}$$ is equivalent to

Accepted Answer

$$\frac{x+5}{x+7}$$

Answer

$$\frac{x}{x+7}$$

Answer

$$\frac{x-10}{x+7}$$

Answer

$$\frac{x}{x+7}+\frac{1}{x-5}$$

Answer

$$\frac{x}{x+5}$$

Question 62

Which of the following number pairs is in the ratio 4:5?

Accepted Answer

<variant>1\5, 1\4

Answer

a negative numbers

Answer

square roots of 1\9 and 1\16

Answer

<variant>1\4, 1\5

Answer

rational integral functions

Question 63

Evaluate the determinant of the matrix . 1 6 1 0

3 2 4 0

A= 6 8 1 0

5 3 0 0

Accepted Answer

<variant>0

Answer

<variant>1

Answer

a negative number

Answer

value of a root $$\sqrt[]{4}$$

Answer

a proper fraction

Question 64

An empty crate weighs 8.16 kg and an orange weighs 220 g. If Jon can lift 11,000 g, how many oranges can he pack in the crate before lifting it onto his truck?

Accepted Answer

<variant>12

Answer

<variant>fifty

Answer

one hundred and twenty

Answer

<variant>twenty

Answer

<variant>thirty

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