Quiz about General Mathematics - Summative Test

Question 1

In a relation, what do you call the y values or the output?

Accepted Answer

Range

Answer

Piecewise

Answer

Domain

Answer

Independent

Question 2

Which of the following tables is NOT a representation of functions?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 3

In this table, what is the domain of the function?

Accepted Answer

D: {1, 2, 3, 4, 5}

Answer

D: {2, 4, 6, 8, 10}

Answer

D: {a, b, c, d, e}

Answer

y = {1, 2, 3, 4, 5, a, b, c, d}

Question 4

Which of the following relation/s are function/s?

Accepted Answer

h = {(6,1), (-2,3), (2,6), (7,2)}

Answer

x = {(-1,2), (-3,4), (-1,7), (5,1)}

Answer

g = {(-3,2), (3,1), (-3,2), (5,7)}

Answer

x = {(2,3), (3,2), (-2,3), (3,-2)}

Question 5

Which of the following is a rational function?

Accepted Answer

$$f(x)=\frac{2x\ -\ 5}{x\ -\ 1}$$

Answer

$$f(x)=\sqrt{5}$$

Answer

$$x+4\ge\frac{x\ +\ 2}{x\ -\ 1}$$

Answer

$$\frac{x\ -\ 8}{4x}=20$$

Question 6

How will you classify $$y=\frac{x^2-16}{x+4}$$ ?

Accepted Answer

Rational Function

Answer

Rational Equation

Answer

Rational Inequality

Answer

Rational Expression

Question 7

1. What symbol must be placed in the blank to make the sentence rational equation: ______ = 2x + 5

Accepted Answer

3

Answer

f(x)

Answer

y

Answer

$$\le$$

Question 8

Which of the following is Considered rational inequality?

Accepted Answer

$$8\ge\frac{2x\ +\ 15}{14}$$

Answer

$$\sqrt{5}=\ 5$$

Answer

$$y=\frac{x\ +\ 15}{3}$$

Answer

$$x+2\approx\frac{x\ +\ 5}{4}$$

Question 9

Refer to the rational equation $$\frac{5}{2x-4}+\frac{2}{x+3}=\frac{3}{x-2}$$ . To solve the equation, we multiply both sides by?

Accepted Answer

$$(x-2)(x+3)$$

Answer

$$x-2$$

Answer

$$x+3$$

Answer

$$(x+2)(x-3)$$

Question 10

Refer to the rational equation $$\frac{5}{2x-4}+\frac{2}{x+3}=\frac{3}{x-2}$$ . Which of the following will be the solution of the given rational equation?

Accepted Answer

$$\frac{11}{3}$$

Answer

$$\frac{3}{11}$$

Answer

$$-\frac{11}{3}$$

Answer

$$-\frac{3}{11}$$

Question 11

Refer to the rational inequality $$\frac{x+12}{x+2}\le2$$ . What are the critical values in the given rational inequality?

Accepted Answer

$$x=-2\ and\ 8$$

Answer

$$x=-2\ and\ -8$$

Answer

$$x=-2\ and\ 12$$

Answer

$$x=-2\ and\ -12$$

Question 12

Refer to the rational inequality $$\frac{x+12}{x+2}\le2$$ . Which of the critical value or values is/are included as endpoints of the intervals?

Accepted Answer

8

Answer

$$-2$$

Answer

2

Answer

$$-8$$

Question 13

Which of the following is the correct table of values of the rational function? $$f(x)\ =\ \frac{x}{x+1}$$

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 14

Which equation satisfies the table of values below?

Accepted Answer

$$y=\frac{x+3}{x+1}$$

Answer

$$y=\frac{x+1}{x+3}$$

Answer

$$y=\frac{x-3}{x+1}$$

Answer

$$y=\frac{x-1}{x+3}$$

Question 15

Which table of values satisfies the graph presented on the right side?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 16

In a jar, there are 10 blue marbles and 15 red marbles. A buyer wants to buy a jar of blue marbles and red marbles with the ratio greater than or equal to 4:5 respectively. How many blue marbles must be added in the jar to sell the marbles?

Accepted Answer

at least 2

Answer

8

Answer

6

Answer

at least 1

Question 17

Nerissa was given 2 hours to walk for her morning exercise. She plans to walk 5 kilometers at an average speed of 3 kilometers per hour. How many kilometers more does she need to walk to spend at most 2 hours?

Accepted Answer

less than or equal to 1 kilometer

Answer

less than or equal 2 kilometers

Answer

greater than or equal 2 kilometers

Answer

exactly 3 kilometers

Question 18

It is a rule that produces a correspondence between the elements of two sets: D (domain) and R (range), such that to each element in D there corresponds one and only one element in R.

Accepted Answer

Function

Answer

Relation

Answer

Subset

Answer

Set

Question 19

A method of testing whether a graph represents a function by determining whether a vertical line intersects the graph no more than once.

Accepted Answer

vertical line test

Answer

horizontal line test

Answer

t-test

Answer

z-test

Question 20

Which of the following is not a one-to-one function?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 21

Which of the following relationships DOES NOT indicate a one-to-one function?

Accepted Answer

Parents and their children

Answer

A tricycle and its plate number

Answer

Chemical symbol to its chemical element

Answer

Husband and Wife

Question 22

Which relates to inverse?

Accepted Answer

interchange

Answer

redo

Answer

opposite

Answer

deletes

Question 23

What is the inverse of f(x) = x + 36?

Accepted Answer

$$f(x)=x-36$$

Answer

$$f(x)=\frac{x}{36}$$

Answer

$$f(x)=36x$$

Answer

$$f(x)=-x-36$$

Question 24

What is the inverse of f(x) = -3x?

Accepted Answer

$$f(x)=-\frac{x}{3}$$

Answer

$$f(x)=3+x$$

Answer

$$f(x)=-3x$$

Answer

$$f(x)=-(x-3)$$

Question 25

Which is NOT involved in the process of finding the inverse of a function?

Accepted Answer

Write the function in the simplest form.

Answer

Write the function in the form y = f(x).

Answer

Interchange the x and y variables.

Answer

Solve for y in terms of x.

Question 26

What is the domain and range of the function f(x) = 5x + 2?

Accepted Answer

The domain and range are all real numbers.

Answer

The domain is all real numbers exact except 2 and the range is all real numbers except 0.

Answer

The domain is all real numbers and the range is all real numbers except 0.

Answer

The domain is all real numbers except 2 and the range is all real numbers.

Question 27

What is true about exponential expression?

Accepted Answer

Its exponent is a variable.

Answer

It has an exponent.

Answer

Its exponent is constant.

Answer

Its exponent is an expression.

Question 28

Which of the following is an exponential function?

Accepted Answer

$$f(x)=4^x$$

Answer

$$f(x)=(4+x)^2$$

Answer

$$b.f(x)=4x^2$$

Answer

$$f(x)=4x$$

Question 29

$$In\ which\ of\ the\ following\ is\ 169\ge13^{2x}\ classified?$$

Accepted Answer

Exponential Inequality

Answer

Exponential Expression

Answer

Exponential Equation

Answer

Exponential Function

Question 30

Which of the following is an exponential equation?

Accepted Answer

$$15^{x+2}=225$$

Answer

$$x^2=144$$

Answer

2x + 3 = 29

Answer

f(x) = 8x

Question 31

In solving for the value of the unknown variable in 2^5x = 64, what is the best thing to do first?

Accepted Answer

Express 64 as 2⁶

Answer

Simplify 64 into 8²

Answer

Divide 64 by 2

Answer

Multiply 5x by 2

Question 32

What is the value of x in 2^5x = 64?

Accepted Answer

6/5

Answer

6

Answer

8

Answer

32

Question 33

Range is the set of all _____ values.

Accepted Answer

y

Answer

w

Answer

x

Answer

z

Question 34

What is known as the possible values of the independent variable x?

Accepted Answer

inputs

Answer

domain

Answer

outputs

Answer

range

Question 35

Intercept is where a function crosses the _____________.

Accepted Answer

x and y-axis

Answer

x-axis

Answer

y-axis

Answer

y and z-axis

Question 36

Asymptote is a line that the curve approaches as it approaches ________.

Accepted Answer

infinity

Answer

curve

Answer

one

Answer

zero

Question 37

Complete the sentence: The x- intercept of rational function is also _______ of the graph of the function.

Accepted Answer

zero

Answer

asymptote

Answer

range

Answer

domain

Question 38

Which of the following is NOT a true statement?

Accepted Answer

Domain and range of rational functions are always equal.

Answer

A rational function is a quotient of functions.

Answer

Asymptotes are a common characteristic of rational functions.

Answer

An asymptote is a line that a graph approaches, what does not touch.

Question 39

1. If the degree of a leading coefficient of the numerator is less than to the degree of the leading coefficient of the denominator of a rational function, which of the following statements has to be true?

Accepted Answer

The graph of the function has a horizontal asymptote.

Answer

The graph has no asymptote

Answer

The graph of the function has slant asymptote.

Answer

None of the above

Question 40

What is the y-intercept of $$f(x)=\frac{x-3}{x+3}$$ ?

Accepted Answer

-1

Answer

0

Answer

-3

Answer

-5

Question 41

What is the x-intercept of $$f(x)=\frac{x-1}{x}$$ ?

Accepted Answer

$$x=1$$

Answer

$$x=-1$$

Answer

$$x=0$$

Answer

All real numbers

Question 42

What is the zero of $$f(x)=\frac{x+5}{3x^2}$$ ?

Accepted Answer

x = -5

Answer

x = 5

Answer

x = 0

Answer

x = -3

Question 43

What is the horizontal asymptote of $$f(x)=\frac{3x+1}{x-5}$$ ?

Accepted Answer

y = 3

Answer

y = 5

Answer

y = 1

Answer

y = 0

Question 44

Logarithmic function is not defined for negative numbers and _______.

Accepted Answer

zero

Answer

one

Answer

three

Answer

two

Question 45

What is the inverse of a logarithmic function?

Accepted Answer

exponential

Answer

linear

Answer

polynomial

Answer

quadratic

Question 46

1. What is the inverse of the function y = b^x?

Accepted Answer

y = x

Answer

y = b

Answer

x = b

Answer

b = x

Question 47

Which of the following is the correct logarithmic form of $$16^{\frac{1}{4}}=\frac{1}{8}$$ ?

Accepted Answer

$$\frac{1}{8}=\frac{3}{4}$$

Answer

$$\frac{3}{4}=\frac{1}{8}$$

Answer

$$16=\frac{3}{4}$$

Answer

$$16=\frac{1}{8}$$

Question 48

What is the depreciated value of a smart phone discounted 35% of its original price of P36,000.00?

Accepted Answer

P23,400.00

Answer

P12,600.00

Answer

P12,000.00

Answer

P23,000.00

Question 49

Which of the following situation show the application of the logarithmic function?

Accepted Answer

Measuring the size of human statistics

Answer

Determining the level of acid in a solution

Answer

Determining time your money may double in amount

Answer

Getting the ion component of a chemical

Question 50

Find the value of x in the equation $$\log_4(2x\ -\ 1)\ =\ 2$$ .

Accepted Answer

8.5

Answer

8

Answer

9.5

Answer

9

Question 51

Which of the following relations is/are function/s?

Accepted Answer

the rule which assigns each person a surname

Answer

the rule which assigns to each person the name of his brother

Answer

the rule which assigns the name of teachers you have

Answer

the rule which assigns a pen and the color of its ink

Question 52

Given $$g(x)=\frac{x^2-\ 3}{2}$$ , determine g(5).

Accepted Answer

11

Answer

$$\frac{7}{2}$$

Answer

-11

Answer

$$-\frac{7}{2}$$

Question 53

Emmanuel decided to put up a candy shop that sells a dairy chocolate that cost P135.00 per pack. The cost of making the chocolate is P90.00 and the operating expense is P4,500. How many chocolate bars must be sold if Emmanuel wanted to earn a profit of P6,750.00?

Accepted Answer

250

Answer

100

Answer

150

Answer

350

Question 54

Which of the following is NOT TRUE about a function?

Accepted Answer

One-to-many correspondence is a function.

Answer

Function is composed of two quantities where one depends on the other.

Answer

One-to-one correspondence is a function.

Answer

Many-to-one correspondence is a function.

General Mathematics - Summative Test

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