Free Printable General Mathematics

1.

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

a)

Piecewise

b)

Range

c)

Domain

d)

Independent

2.

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

a)

b)

c)

d)

3.

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

a)

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

b)

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

c)

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

d)

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

4.

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

a)

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

b)

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

c)

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

d)

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

5.

Which of the following is NOT a polynomial function?

a)

f(x) = 2x – 10

b)

g(x) = 4x² – 3x +8

c)

p(x) = x³ - 7

d)

s(x) = |3x-4|- 9

6.

Find the function value given h(x) = 9 – 5x of x = 3m.

a)

9 – 15m

b)

9 – 15m²

c)

9 + 15m

d)

9 + 15m²

7.

Evaluate: h(x) = 5x³ – 3x + 9 given x = 3.

a)

45

b)

63

c)

135

d)

153

8.

Which of the following is a rational function?

a)

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

b)

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

c)

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

d)

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

9.

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

a)

Rational Equation

b)

Rational Inequality

c)

Rational Function

d)

Rational Expression

10.

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

a)

f(x)

b)

y

c)

$\le$

d)

3

11.

Which of the following is Considered rational inequality?

a)

$\sqrt{5}=\ 5$

b)

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

c)

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

d)

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

12.

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?

a)

$x-2$

b)

$x+3$

c)

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

d)

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

13.

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?

a)

$\frac{11}{3}$

b)

$\frac{3}{11}$

c)

$-\frac{11}{3}$

d)

$-\frac{3}{11}$

14.

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

a)

$x=-2\ and\ 8$

b)

$x=-2\ and\ -8$

c)

$x=-2\ and\ 12$

d)

$x=-2\ and\ -12$

15.

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?

a)

$-2$

b)

2

c)

$-8$

d)

8

16.

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

a)

b)

c)

d)

17.

Which equation satisfies the table of values below?

a)

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

b)

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

c)

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

d)

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

18.

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

a)

b)

c)

d)

19.

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?

a)

8

b)

6

c)

at least 1

d)

at least 2

20.

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?

a)

less than or equal 2 kilometers

b)

greater than or equal 2 kilometers

c)

exactly 3 kilometers

d)

less than or equal to 1 kilometer

21.

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.

a)

Function

b)

Relation

c)

Subset

d)

Set

22.

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

a)

vertical line test

b)

horizontal line test

c)

t-test

d)

z-test

23.

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

a)

b)

c)

d)

24.

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

a)

A tricycle and its plate number

b)

Chemical symbol to its chemical element

c)

Parents and their children

d)

Husband and Wife

25.

Which relates to inverse?

a)

redo

b)

opposite

c)

deletes

d)

interchange

26.

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

a)

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

b)

$f(x)=36x$

c)

$f(x)=x-36$

d)

$f(x)=-x-36$

27.

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

a)

$f(x)=3+x$

b)

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

c)

$f(x)=-3x$

d)

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

28.

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

a)

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

b)

Interchange the x and y variables.

c)

Write the function in the simplest form.

d)

Solve for y in terms of x.

29.

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

a)

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

b)

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

c)

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

d)

The domain and range are all real numbers.

30.

A study found that the relationship between the number of hours (x) and the student’s exam scores (f(x)) is given by the equation of function f(x) = 10x + 55. Using this information, what will be the estimated number of scores of the student if he spent 4 hours in studying?

a)

95

b)

85

c)

75

d)

65

31.

What is true about exponential expression?

a)

It has an exponent.

b)

Its exponent is a variable.

c)

Its exponent is constant.

d)

Its exponent is an expression.

32.

Which of the following is an exponential function?

a)

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

b)

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

c)

$f(x)=4x$

d)

$f(x)=4^x$

33.

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

a)

Exponential Expression

b)

Exponential Equation

c)

Exponential Function

d)

Exponential Inequality

34.

Which of the following is an exponential equation?

a)

$x^2=144$

b)

$15^{x+2}=225$

c)

2x + 3 = 29

d)

f(x) = 8^x

35.

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

a)

Simplify 64 into 8²

b)

Divide 64 by 2

c)

Express 64 as 2⁶

d)

Multiply 5x by 2

36.

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

a)

6/5

b)

6

c)

8

d)

32

37.

Range is the set of all _____ values.

a)

w

b)

x

c)

y

d)

z

38.

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

a)

domain

b)

inputs

c)

outputs

d)

range

39.

What is the domain of the function f(x) = (x+1)?

a)

(-∞, 1)

b)

(-∞, -1)

c)

(-1, ∞)

d)

(1, ∞)

40.

Intercept is where a function crosses the _____________.

a)

x-axis

b)

x and y-axis

c)

y-axis

d)

y and z-axis

41.

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

a)

curve

b)

infinity

c)

one

d)

zero

42.

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

a)

asymptote

b)

range

c)

zero

d)

domain

43.

Which of the following is NOT a true statement?

a)

A rational function is a quotient of functions.

b)

Asymptotes are a common characteristic of rational functions.

c)

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

d)

Domain and range of rational functions are always equal.

44.

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?

a)

The graph has no asymptote

b)

The graph of the function has slant asymptote.

c)

The graph of the function has a horizontal asymptote.

d)

None of the above

45.

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

a)

0

b)

-1

c)

-3

d)

-5

46.

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

a)

$x=-1$

b)

$x=0$

c)

$x=1$

d)

All real numbers

47.

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

a)

x = 5

b)

x = 0

c)

x = -3

d)

x = -5

48.

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

a)

y = 5

b)

y = 3

c)

y = 1

d)

y = 0

49.

Logarithmic function is not defined for negative numbers and _______.

a)

one

b)

three

c)

two

d)

zero

50.

What is the inverse of a logarithmic function?

a)

exponential

b)

linear

c)

polynomial

d)

quadratic

51.

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

a)

y = b

b)

x = b

c)

y = x

d)

b = x

52.

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

a)

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

b)

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

c)

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

d)

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

53.

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

a)

P23,400.00

b)

P12,600.00

c)

P12,000.00

d)

P23,000.00

54.

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

a)

Determining the level of acid in a solution

b)

Determining time your money may double in amount

c)

Measuring the size of human statistics

d)

Getting the ion component of a chemical

55.

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

a)

8.5

b)

8

c)

9.5

d)

9

56.

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

a)

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

b)

the rule which assigns the name of teachers you have

c)

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

d)

the rule which assigns each person a surname

57.

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

a)

11

b)

$\frac{7}{2}$

c)

-11

d)

$-\frac{7}{2}$

58.

Find h(3) + d(2) if h(x) = x – 1 and d(x) = 7x + 3.

a)

2

b)

5

c)

14

d)

19

59.

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?

a)

100

b)

150

c)

250

d)

350

60.

Which of the following is NOT TRUE about a function?

a)

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

b)

One-to-one correspondence is a function.

c)

Many-to-one correspondence is a function.

d)

One-to-many correspondence is a function.

General Mathematics - Summative Test

Total questions: 60

Worksheet time: 5hrs 0mins

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