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Mathematics.d

Mathematics.d

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80 вопросов Вариант 1 Доступ 7 дней
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Вопросы и варианты

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Вопрос 1

To solve a quadratic polynomial, we have to …

  1. arrange the polynomial in the ascending order of degree and equate to zero
  2. arrange the polynomial in the descending order of degree and equate to zeroB = Φ
  3. equate to zero
  4. solve it without arranging the polynomial
Вопрос 2

Y, X, G in polynomials called …

  1. variables
  2. constants
  3. exponents
  4. degrees
Вопрос 3

… theorem states that If P(x) is a polynomial, and P(x) ≠ P(y) for (x < y), then P(x) takes every value from P(x) to P(y) in the closed interval [x, y].

  1. Intermediate Value
  2. Bezout’s
  3. Remainder Theorem
  4. Factor
Вопрос 4

… is an expression constructed with one or more terms of variables with constant exponents

  1. Polynomial Equation
  2. Polynomial
  3. Polynomial Functions
  4. Fundamental Theorem of Algebra
Вопрос 5

Solving the polynomial equation, the first step is …

  1. to set the left-hand side as 0
  2. to set the right-hand side as 0
  3. arrange the polynomial
  4. using factorization
Вопрос 6

Two or more polynomials when multiplied result in …

  1. non polynomial
  2. a polynomial of lower degree
  3. a polynomial of same degree
  4. a polynomial of higher degree
Вопрос 7

In the polynomial 5x^3 + 5x^2 +4x+2, the number of terms are …

  1. three
  2. x^3
  3. four
  4. six
Вопрос 8

A monomial is an expression which contains … term(s)

  1. three
  2. two
  3. one
  4. four
Вопрос 9

The terms of polynomials are the parts of the equation which are generally separated by …

  1. + sign
  2. - sign
  3. * sign
  4. + or - sign
Вопрос 10

A binomial is a polynomial expression which contains … term(s)

  1. one
  2. two or more
  3. only two
  4. three
Вопрос 11

Expanding the following equation −2x (x − 3y − 2z) results …

  1. -2x^2+6xy+4zx
  2. -2x^2+5xy+4xz
  3. ∞
  4. -2x^2+6yx+xz
Вопрос 12

Simplify the following 4(2x-1) – 3x results ...

  1. 5x-4
  2. 8x-4-3x
  3. 8x-1-3x
  4. 8x-3x-4
Вопрос 13

Factorize the following perfect square trinomial (m + n)2 + 12(m + n) + 36, the result is …

  1. (m+n)3+12*3
  2. (m+n)(m+2)+12(m+n) +36
  3. (m + n + 6) (m + n + 6)
  4. (m+n+12) (m+n+12)
Вопрос 14

Factorize the following perfect square trinomial Z2+ 1/z2– 2, the result is …

  1. (z – 1/z^2) (2 – 1/z^2)
  2. (z – 1/z) (z – 1/z^2)
  3. (z – 1/z) (z – 1/z)
  4. (z – 1/z^2) (z – 1/z^2)
Вопрос 15

Factor x^2 + 10x + 49, the result is …

  1. (x-7)(x-7)
  2. (x+7)(x+7)
  3. (x+7)(x-7)
  4. (x+49)(x+1)
Вопрос 16

Solve the following equation by completing the square x^2 + 8x -20 = 0, the result is , …

  1. -10, 2
  2. 2, 10
  3. 10, -2
  4. -2, -10
Вопрос 17

Solve the following equation by completing the square 6x^2 + 69x -36 = 0, the result is , …

  1. 0.5 ,12
  2. -12, -0.5
  3. 0.5 , -12
  4. 1 , 12
Вопрос 18

Completing the square means manipulating the form of the equation so that the left side of the equation is …

  1. a perfect square trinomial
  2. a perfect square binomial
  3. zero
  4. one
Вопрос 19

Factorize the following perfect square trinomial x^2 + x + ¼, the result is …

  1. (x + 1/4) (x + 1/4)
  2. (x + 1/2) (x + 1/2)
  3. (x - 1/2) (x + 1/2)
  4. (x - 1/2) (x - 1/2)
Вопрос 20

A quadratic equation is a polynomial of …degree

  1. one
  2. two
  3. three
  4. four
Вопрос 21

Graphing is another method of solving … Formula

  1. linear
  2. quadratic
  3. logarithmic
  4. trinomial
Вопрос 22

... allow us to rewrite a polynomial into simple form, to determine the solution

  1. Perfect Square
  2. Reminder
  3. Factoring
  4. Zero on the right
Вопрос 23

The GCF of 6x^4 – 8x^2 + 4x is …

  1. x
  2. 2
  3. 2x^2
  4. 2x
Вопрос 24

The GCF of Find the GCF of 9x^2 -3x -15 is …

  1. 9x
  2. 9
  3. 3
  4. 3x
Вопрос 25

Factor 6x^2 + x – 5, the result is …

  1. x(6x-5)
  2. (x+1)(6x-5)
  3. 6(x+1)(x-5)
  4. (6x-5)^2
Вопрос 26

Solve the following trinomial by any suitable method, 3x^2– 8x – 60, the result is …

  1. (3x + 10) (x – 6)
  2. (3x + 10) (x + 6)
  3. (3x - 10) (x + 6)
  4. (3x + 5) (x – 12)
Вопрос 27

Solve the following trinomial by any suitable method, 30a^2+ 57ab – 168b^2, the result is…

  1. 3(6a – 8b) (2a + 7b)
  2. 3(5a + 8b) (2a + 7b)
  3. 3(5a – 8b) (2a - 7b)
  4. 3(5a – 8b) (2a + 7b)
Вопрос 28

Solve the following trinomial by any suitable method, 7x^2+ 79x + 90, the result is …

  1. (7x + 3) (x + 10)
  2. (7x - 9) (x - 10)
  3. (7x + 9) (x + 10)
  4. (7x - 9) (x + 10)
Вопрос 29

Solve the following trinomial by any suitable method, 2x^2 + x – 45, the result is …

  1. (x + 5) (x – 9)
  2. (x + 5) (2x – 9)
  3. (x + 4) (2x – 8)
  4. (x + 5) (2x + 9)
Вопрос 30

Solve the following trinomial by any suitable method, 3x^2 – 10x + 8, the result is …

  1. (x – 2) (3x – 4)
  2. (x +2) (3x + 4)
  3. (x – 2) (3x + 4)
  4. (x + 2) (3x – 4)
Вопрос 31

Find the derivative of the function: f(x) = 1974, the result is ...

  1. +∞
  2. 1974
  3. −∞
  4. zero
Вопрос 32

Find the derivative of the function: f(x) = x^2 + 3x + 9, the result is ...

  1. 2x^2+3
  2. 2x
  3. 3x+9
  4. 2x+3
Вопрос 33

Find the derivative of the function: f(x) = x^1/2 , the result is ...

  1. − 1 /2 √ x
  2. √ 1 x
  3. 1/ (2 √ x)
  4. √ x
Вопрос 34

The derivative of the function: f(x) = 5x^2 (x + 4) is ...

  1. 15x^2 − 40x
  2. 10x
  3. 5x^2 + 40x
  4. 15x^2 + 40x
Вопрос 35

The derivative of the function: f(x) = 5(x + 7)^2 is ...

  1. 15x^2 + 70x
  2. 10x –70
  3. 10x + 70
  4. 15x^2 − 70x
Вопрос 36

The derivative of a function is ...

  1. an equation
  2. a drawing
  3. a function
  4. a curve
Вопрос 37

The derivative is closely related to the … notation

  1. set of solution of an equation
  2. zero of a function
  3. slop of a line
  4. curve
Вопрос 38

The derivative of a function at a point is …

  1. an equation
  2. a number
  3. a function
  4. a curve
Вопрос 39

The derivative of the function: f(x) = y^−1−5y^−5-8y^3-4 is ...

  1. y^−2+25y^−6+24y^2
  2. −y^−2+25y^−6-24y^2
  3. −y^−2+10y^−6-24y^2
  4. −1+25y^−6+24y^2
Вопрос 40

The derivative of the function: f(x) = 7x^2 +8x+27 is …

  1. 17x
  2. 14x
  3. 14x+8
  4. 14x+8x
Вопрос 41

The value of is 1og2 64 is …

  1. 64
  2. 6
  3. 8
  4. 4
Вопрос 42

The value of is log8 0.25 is …

  1. -3/2
  2. 3/2
  3. 2/3
  4. -2/3
Вопрос 43

The value of is log6 6 is …

  1. 0
  2. 1
  3. 6
  4. 36
Вопрос 44

Find log 3 x = 2, the result is …

  1. 8
  2. 9
  3. 6
  4. 4
Вопрос 45

Loga(mn) equals to …

  1. logam - logan
  2. n logam
  3. logam + logan
  4. logbn × logab
Вопрос 46

If log 27 = 1.431, then the value of log 9 is: …

  1. 0.934
  2. 0.945
  3. 0.954
  4. 0.958
Вопрос 47

Rewrite the expression 9^3 = 729 in logarithmic form, the answer is …

  1. 9 = log3 729
  2. 729 = log9 3
  3. 3 = log 9 729
  4. 0
Вопрос 48

Rewrite the expression b = a^– r in logarithmic form, the answer is …

  1. r = log a^– b
  2. – r = log ab
  3. –b = log ar
  4. -b loga r
Вопрос 49

log5 x = –3 is …

  1. -25
  2. -125
  3. 1/25
  4. 1/125
Вопрос 50

log2 32 = y is …

  1. y=3
  2. y=4
  3. y=5
  4. y=6
Вопрос 51

Log3 (7x + 3) = log3 (5x +9) is …

  1. 8
  2. 5
  3. 6
  4. 9
Вопрос 52

Log7 (x - 2) + log7 (x + 3) = log7 14 is …

  1. 7
  2. 10
  3. 5
  4. -5
Вопрос 53

ln(4x -1) = 3 is …

  1. 5.56
  2. 5.18
  3. 5.27
  4. 5.78
Вопрос 54

Solve log3 (7x + 2) = 2, the result is …

  1. 9/7
  2. 1
  3. -1
  4. 7/9
Вопрос 55

Solve Log4 x + log4 (x -12) = 3, the result is …

  1. 18
  2. 16
  3. 14
  4. 12
Вопрос 56

Log4 (2x +1) = log4 (x + 2) – log4 4 is …

  1. 2/3
  2. 1/3
  3. 1.5
  4. no solution
Вопрос 57

Solve log(5x -11) = 3, the result is …

  1. 102/5
  2. 1000/5
  3. 1002/5
  4. 10/5
Вопрос 58

Solve log2 (x +1) – log2 (x - 4) = 2, the result is …

  1. 17/5
  2. 17/3
  3. no solution
  4. 17
Вопрос 59

Log8 x + log8 (x + 6) = log8 (5x +12) is …

  1. 3
  2. 1/3
  3. 5
  4. 9
Вопрос 60

Solve: log(x - 2) - log(2x - 3) = log 2, the result is …

  1. 3/4
  2. 4/3
  3. 4
  4. 3
Вопрос 61

Factor the trinomial y2 + 7y – 144, the result is …

  1. (y - 16) (y – 9)
  2. (y - 16) (y + 9)
  3. (y + 16) (y – 9)
  4. (y + 16) (y + 9)
Вопрос 62

Factor the trinomial x2 – 22x + 117, the result is …

  1. (x – 13) (x + 9)
  2. (x – 13) (x – 9)
  3. (x +13) (x – 9)
  4. (x + 13) (x+ 9)
Вопрос 63

Use the quadratic formula to find the roots of 2x^2-5x+2 = 0, the result is …

  1. 3 and 2
  2. 3 and -2
  3. 2 and 1/2
  4. -2 and 1/2
Вопрос 64

Expand (2x − 2) (2x + 2), the result is …

  1. 9x2 – 4
  2. 4x2 – 4
  3. 2x2 – 4
  4. 4x2
Вопрос 65

Solve by completing square x2 + 4x – 12 = 0, the result is …

  1. 6 and 1/2
  2. 1/6 and 2
  3. 2 and 6
  4. 2 and -6
Вопрос 66

Solve using factoring by grouping 18a^3 b^3– 27a^2 b^3 + 36a^3 b^2, the result is …

  1. 9a^2 b^2 (2ab - 3b + 4a)
  2. 9a^2 b^2 (2ab - 3b - 4a)
  3. 9a^2 b^2 (2ab + 3b + 4a)
  4. 9a^2 b^2 (2ab + 3b - 4a)
Вопрос 67

Solve using factoring by grouping ab (x^2+ y^2) – xy (a^2 + b^2), the result is …

  1. (bx + ay) (ax – by)
  2. (bx – ay) (ax + by)
  3. (bx + ay) (ax + by)
  4. (bx – ay) (ax – by)
Вопрос 68

Solve using factoring by grouping 6ab – b^2 + 12ac – 2bc, the result is …

  1. (b + 2c) (6a + b)
  2. (b + 2c) (6a - b)
  3. (b - 2c) (6a + b)
  4. (b - 2c) (6a - b)
Вопрос 69

Solve using factoring by grouping x^3– 3x^2 + x – 3, the result is …

  1. (x^2+ 1) (x – 3)
  2. (x^2+ 1) (x + 3)
  3. (x^2- 1) (x – 3)
  4. (x^2- 1) (x + 3)
Вопрос 70

Solve using factoring by grouping 15ab^2– 20a^2 b, the result is …

  1. 5ab (3b – 5a)
  2. 5ab (3b – 2a)
  3. 5ab (3b + 4a)
  4. 5ab (3b – 4a)
Вопрос 71

A function has …

  1. set of outputs
  2. one input
  3. one output
  4. set of input and output
Вопрос 72

Represent y = x^2 – 4x+1 using function notation and solve for y at x = 3, the notation representation is f(x)= x^2 – 4x+1 and the result is …

  1. 2
  2. -2
  3. -4
  4. 1
Вопрос 73

Given the function notation f (x) = x^2 – 2x – 4. Find the value of x when f (x) = 4. The result is …

  1. 4 and -2
  2. 3 and -2
  3. -4 and 2
  4. -2 and -4
Вопрос 74

The possible values of x that will make an equation true is called …

  1. range
  2. domain
  3. factor
  4. notation
Вопрос 75

The output value of a function is called…

  1. range
  2. domain
  3. factor
  4. notation
Вопрос 76

There is only one … for a function

  1. variable
  2. input
  3. range
  4. solving technique
Вопрос 77

We can determine the domain of a function …

  1. by factoring the function
  2. algebraically
  3. by graphical method
  4. either algebraically or by graphical method
Вопрос 78

Find the domain of f(x) = 9x – 4, the result is …

  1. 0
  2. (−∞, ∞)
  3. 1
  4. −∞
Вопрос 79

A linear function has the general form of f(x) = ax + b, where a and b are numerical values and a...

  1. ≠ 0
  2. =0
  3. =100
  4. =10
Вопрос 80

To find the domain of a linear function, set the denominator to … and calculate the value of the variable

  1. 1
  2. ∞
  3. -∞
  4. 0