Math IV

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Chapter 7: Statistics

1. A branch of Mathematics concerned with the techniques by which information is collected,

organized, analyzed, and interpreted.

a. Statistics

b. Accountancyc. Economics

d. Analysis

2. Any subset of elements drawn by some appropriate method from a defined population.

a. set

b. population

c. sample

d. none of the above

3. A procedure where a sample is selected in such a way that every element is as likely to be

selected as any other element from the population.

a. Samplingb. Random sampling

c. Synthetic random sampling

d. Simple random sampling

4. Below are figures used to present data in a more organized way. Which one is not?

a. Tables

b. Graphs

c. Charts


5. It is done after all statistical information is collected, organized, and presented as a frequency

distribution and the mean, median, and mode is computed.a. Analyzing set of data

b. Sampling

c. Setting

d. Statistics

Chapter 6: Circular Functions and Trigonometry

1. Convert 195o

to Radian.

a. 12/13 π

b. 3/2 π

c. 13/12 π

d. None of the above

2. Which of the following are Pythagorean triples?

a. 6, 9, 11

b. 5, 8, 11

c. 3, 4, 5

d. A & C

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3. What is tan150o

equal to?

a. 0

b. 1

c. √2/2

d. -1

4. If θ=47o; x is:

a. 17.3cm

b. 16.1cm

c. 21.4cm

d. 13.5cm

5. The top of a ladder 5 meters long is leaning on a wall at 10 meters high. How far is the base of

the wall from the base of the ladder if the angle made by the ladder and the ground is 60o?

a. 5/2b. 5√6-5√2

4

c. 5√6

4

d. 5√2

4

Chapter 5: Exponential and Logarithmic Functions

1. A certain species of bacteria multiply twice its original population every 16 seconds. How much

of the bacteria would there be after 2 minutes and 8 seconds if it had an original population of

120?

a. 120

b. 15, 360

c. 30, 720

d. 30, 270

2. The domain of f(x)=log x is:

a. b. {x/x≠13}

c. {x/x>0}

d. None of the above

3. What is the asymptote of f(x)= -2x+5?

a. y = 0

b. y = 5

c. y = -5

d. y = 2

4. The inverse of an exponential function is

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a. Rational Function

b. Quadratic Function

c. Logarithmic Function

d. Polynomial Function

5. (6x3y2z8)0 (6x2y-9z3)-1

a. y9

6x2z

3

b. c. d. 0

Chapter 4: Polynomial Functions

1. Solve for the x-intercepts of the function y = x3 - 8x2 - 9x + 14 Answers: x = 1, -2, 7

a. x = 1, -2 , 7

b. x = 3, 5, 9

c. x = 8, 3, 2

d. x = 0, -5, 11

2. A process of dividing a number from a number avoiding decimals is

a. Division Algorithm

b. Synthetic Division

c. Division

d. Multiplication of Polynomials

3.

What is the critical value of p(x) = x

4

-x

3

-7x

2

+x+6?a. 0, -2, -5, 9

b. -1, -2, -4, -7

c. 5, 6, 5, 7

d. 1, -1, 3, 2

4. What is the remainder when x4+5x

3-2x

2+9x+6 is divided by x-2?

a. -15

b. 25

c. -42

d. 42

5.

Which of the following is not a polynomial function?a. f(x) = 10x

4-8x

3+4x

2-3x+5

b. f(x) = x4+2x3+3x2+5x+9

c. f(x) = 2(x-5)2+3

d. f(x) = x+4y

Chapter 3: Quadratic Functions

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1. The graph of the function y=x2

- 4x - 91 intersects the X and Y axes at?

a. x = 6, 16; y = -91

b. x = 8, 15; y = -50

c. x = 10, 17; y = -65

d. x = 7, 13; y = -91

2. The value of x that will make the function f(x) = x2+6x-9 equal to zero is

a. 3

b. 2

c. 5

d. 9

3. The concavity of the quadratic function f(x) = 5 (x+3)2

is

a. upward

b. downward

c. right

d. left

4. Write the quadratic equation x2-10x+25 in the form f(x) = a(x-h)2+k using completing the square.

a. (x-10)2

b. (x-5)2

c. (x+5)2

d. (x+10)2

5. There is no x-intercept in a quadratic equation if the zeros are

a. rational

b. real

c. imaginary


Chapter 2: Linear Functions

1. Express the equation 4y/3 - 27 = 7x - 9 + y in the form where y is a function of x.

a. y = 17x + 110

b. y = 21x + 108

c. y = 19x + 115

d. y = 18x + 162

2. Find the equation of a line in the form Ax+By+C = 0 if the line is passing through (-5, 2) and (-7, -

8).

a. 2x-y+9 = 0b. 3x-y+17 = 0

c. 9x+2y-45 = 0

d. 6x-5y+15 = 0

3. If y = 6x+7, and x = -1, what is y?

a. 1

b. 2

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c. 5

d. 9

4. The trend of y = -2/3x+5 is

a. does not tell

b. none

c. increasing

d. decreasing

5. When two different lines intersect, they meet at

a. a plane

b. a ray

c. a point

d. none

Chapter 1: Functions

1. The Equation (y2 - 4y + 4) = x3 - 4x2 + 7x - 28 is a function. True or False.

a. True

b. False

c. Does not say

d. I don’t know

2. What is the domain of 2

1 y

x

?

a. b. {x/x , x≠ -1}

c. {x/x , x≠ 0}

d. {x/x , x≠ 1}

3. “Add 3, then multiply by 2”. Express in function notation.

a. f(x) = x2+3

2

b. f(x) = 2x+6

c. f(x) = x+6

d. f(x) = x+32

4. If f(x) = x+1, and g(x) = x+2, then (fg)(x) is

a. x2-9x+6

b. x2+3x+2

c. x2-3x-2

d. x2+3x-2

5. Rewrite the 9x+4y=15 in y=mx+b form.

a. y = -4x+9

4

b. y = 9x-15

4

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c. y = -9x+15

4

d. y = -4x+9

15

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Math IV