WorksheetsGeneral Mathematics Quiz - Module 1
Total questions: 200
Worksheet time: 10hrs 48mins
y = 5 x - 2 for x = 3
y = 6(x - 6) for x = 7
t = 2 s
s = 3 t + 1
y = x - 1 for x = -2
p = 4q - 6
y = 3x + 2 for x = 5
Every input has ONLY ONE output
Identify the independent variable:
The amount of money, m, earned if t raffle tickets are sold
money, m
tickets, t
Sophie earned $5 for every A she got on her report card.
m = money
A = A on report card
The dependent variable is:
m = money
A = A on report card
Sarah is participating in a walkathon to raise money for local literacy programs. The amount of money Sarah will raise depends on the distance she walks.
m = the amount of money Sarah will raise
d = the distance Sarah walks
Which of the variables is dependent?
m
d
A food service worker earns $12 per hour. How much money, m, does the worker earn on a shift of h hours? Identify the dependent variable.
money
hours
c = the number of costumes Paco's daughter will require
d = the number of dances Paco's daughter plans to perform
Which of the variables is independent?
Identify the independent variable
The number of hours, h, worked and the amount of money, m, earned
hours, h
money, m
Identify the independent variable
The number of pages, p, you read in your book in h hours
p
h
Identify the independent variable
The number of hamburgers, h, sold and the dollar amount of sales, s taken in
h
s
The number of oranges in a bag and the cost of the bag of oranges are related. What is the independent variable in this relationship?
The number of oranges in the bag
The cost of the bag
Before a bowler rolls her first ball, 10 pins are standing. The number of pins that will be left standing, y, is a function of the number of pins she knocks down. What is the domain of this function?
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }
{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }
y ≤ 10, integers
0 ≤ y ≤ 10, real numbers
Which of the following words refer to x-value(s)? (Select all that apply.)
input
output
dependent
independent
range
What is the input value of this function machine when 8 is the output value?
3
2
1
4
|-18|
Tell whether the relationship is a function
Function
Not Function
Tell whether the relationship is a function
Function
Not Function
Tell whether the relationship is a function
Function
Not Function
y = 6(x - 6) for x = 7
Evaluate the function rule:
y = 5x - 2 for x = 3
y = 13
y = 12
y = 11.5
y = 17
find the range of the function when the domain is { -3, 0 , 3 }
t = 2s
range : { -6 , 0 , 6 }
range : { 12 , 1 , - 12 }
range : { 10 , 11 , 12 }
Find the range of the function when the domain is { 2 , 4 , 6 }
s = 3t + 1
range: { 7 , 13, 19}
range: { 6 , 8 , 12 }
range: {12, 16 , 18 }
Evaluate the function rule:
y = x - 1 for x = -2
y = 3
y = -3
y = 4
y = -4
p = 4q - 6
y = 3x + 2 for x = 5
A set of ordered pairs is known as a _____________
domain
range
function
relation
Each input has exactly one output
domain
range
function
relation
The domain is also know as the input.
True
False
Range is also known as the output.
True
False
x-values are known as the .......
domain
range
function
relation
y-values are known as ....
domain
range
function
relation
The following image is representing
vertical line test
mapping
non-linear function
function table
What do you call a relation where each element in the domain is related to only one value in the range by some rules?
Function
Range
Domain
Independent
Which of the following relations is/are function/s?
x = {(1,2), (3,4), (1,7), (5,1)}
g = {(3,2), (2,1), (8,2), (3,7)}
h = {(4,1), (2,3), (2, 6), (7, 2)}
y = {(2,9), (3,4), (9,2), (6,7)}
In a relation, what do you call the set of x values or the input?
Piecewise
Range
Domain
Dependent
What is the range of the function shown by the diagram?
R:{3, 2, 1}
R:{a, b}
R:{3, 2, 1, a, b}
R:{all real numbers}
Which of the following real-life relationships represent a function?
The rule which assigns to each person the name of his aunt.
The rule which assigns to each person the name of his father.
The rule which assigns to each cellular phone unit to its phone number.
The rule which assigns to each person a name of his pet.
Which of the following relations is NOT a function?
The rule which assigns a capital city to each province.
The rule which assigns a President to each country.
The rule which assigns religion to each person.
The rule which assigns tourist spot to each province.
A person is earning ₱500.00 per day for doing a certain job. Which of the following expresses the total salary S as a function of the number n of days that the person works?
𝑆(𝑛) = 500 + 𝑛
𝑆(𝑛) = 500/n
𝑆(𝑛) = 500𝑛
𝑆(𝑛) = 500 − 𝑛
Johnny was paid a fixed rate of ₱ 100 a day for working in a Computer Shop and an additional ₱5.00 for every typing job he made.
How much would he pay for a 5 typing job he made for a day?
₱55.00
₱175.50
₱125.00
₱170.00
Johnny was paid a fixed rate of ₱ 100 a day for working in a Computer Shop and an additional ₱5.00 for every typing job he made.
Find the fare function f(x) where x represents the number of typing job he made for the day.
𝑓(𝑥) = 100 + 5𝑥
𝑓(𝑥) = 100 − 5𝑥
𝑓(𝑥) = 100𝑥
𝑓(𝑥) = 100/5𝑥
A jeepney ride in Lucena costs ₱ 9.00 for the first 4 kilometers, and each additional kilometers adds ₱0.75 to the fare. Use a piecewise function to represent the jeepney fare F in terms of the distance d in kilometers. Give the first function.
𝐹(𝑑) = {9 𝑖𝑓 0 > 𝑑 ≤ 4
𝐹(𝑑) = {9 𝑖𝑓 0 < 𝑑 < 4
𝐹(𝑑) = {9 𝑖𝑓 0 ≥ 𝑑 ≥ 4
𝐹(𝑑) = {9 𝑖𝑓 0 < 𝑑 ≤ 4
Under a certain Law, the first ₱30,000.00 of earnings are subjected to 12% tax, earning greater than ₱30,000.00 and up to ₱50,000.00 are subjected to 15% tax, and earnings greater than ₱50,000.00 are taxed at 20%. Write a piecewise function that models this situation. Give the first function.
𝑡(𝑥) = 0.12𝑥 𝑖𝑓 𝑥 ≤ 30,000
𝑡(𝑥) = 0.12𝑥 𝑖𝑓 𝑥 < 30,000
𝑡(𝑥) = 0.12𝑥 𝑖𝑓 𝑥 > 30,000
𝑡(𝑥) = 0.12𝑥 𝑖𝑓 𝑥 ≥ 30,000
Does the graph show a function?
Yes
No
Which relation shows a function?
A
B
C
D
Which relation shows a function?
A
B
C
D
Does the list show a function?
Yes
No
Does the graph show a function?
Yes
No
Is the table showing a function?
Yes
No
In a function, every input can have more than one output.
True
False
y = 5 x - 2 for x = 3
Is this relation a function?
Yes, because every input has exactly one output
No, because 1 and 3 have the same output value
I am not sure
Is this table of values a function?
No, because not every input has exactly one output
No, because 4 has more than one output
Yes, because every input has exactly one output
Is this a function?
Yes, because every input has exactly one output
No, because 3 is in the input and the output
No, because -1 has more than one output
I am not sure
Is this graph a function?
Yes, it passes the vertical line test
No, it does not pass the vertical line test
I am not sure
Is this mapping a function or not a function?
It is a function
It is not a function
Does this relation represent a function?
(1,5), (1,6), (1,7), (1,8), (1,9)
Yes, each input has exactly one output
No, the inputs (x-values) repeat
No, the outputs (y-values) repeat
I am not sure
You can identify a function from a graph by using the.....
Horizontal Line Test
Vertical Line Test
Vertical Line Test
Diagonal Line Test
What is g(7) if:
-17
-13
13
17
g(n)=4n-4
f(n)=5n+4
Find (g+f)(n)
20n
9n+8
9n-8
9n
f(x)=2x + 4
g(x)=3x2 - 1
Find f(x)*g(x)
6x4 + 12x3 - 4x2 - 8x
-6x3 + 12x2 + 2x - 4
6x3 + 12x2 - 2x - 4
5x2 - 18x + 20
Find f(8) - g(8)
Find (f+g)(2).
f(x) = 2x and g(x) = 2x-7
Find (f-g)(4).
0
-9
7
-8
g(n) = n2 + 5n
f(n) = n + 4
Find g(f(n))
n2 + 3n + 36
n2 + 13n + 16
n2 + 13n + 36
n2 + 3n + 20
h(x)=3x-1
Find g(h(x))
g(x) = x - 2
Find f(g(x))
If f(x) = x-5 and g(x) = 3x2-1,
what is (f ° g)(x) ?
3x2-5
3x2-1
3x2-4
3x2-6
h(x) = -4x + 3
g(x) = 4x - 2
Find h(g(6))
-107
107
-85
85
h(x)=3x-1
Find (g∘h)(x)
and g(x) = x+3 ,
find (f/g)(x).
h(x)=3x-1
Find (g∘h)(x)
(𝑓 ∘ 𝑔)(36)
21
-14
2
10
(𝑔 ∘ 𝑔)(16) =
6
7
2
21
(f ∘ g)(4) =
-11
3
34
2
If f(x)=2x and g(x)=2x2−1 find f(g(3))
34
71
35
142
If f(x)=2x and g(x)=2x2−1 find g(f(−1))
2
15
7
-9
If f(x)=2x and g(x)=2x2−1 find f(g(x))
4x2−1
4x2−2
8x2−1
16x2−1
If f(x)=x1 and g(x)=3x+2 find (f∘g)(2)
41
81
27
8
If f(x)=x1 and g(x)=3x+2 find (g∘g)(−4)
44
-40
-30
-28
If f(x)=x1 and g(x)=3x+2 find (g∘f)(x)
3x1+2
3x+2
x3+2
3x+21
If f(x)=x2 and g(x)=x find g(f(x))
x4
x
x
x2
If f(x)=x1 and g(x)=3x+2 find f(g(x))
3x1+2
3x+2
x3+2
3x+21
When f(x)=x2+9 and g(x)=x−9 , find f(x)−g(x)
x2+x+9
x2−x+9
x2−x
x2−x+18
If g(x)=x2+6 and f(x)=2x−4 , find f(g(x))
2x2−12x−4
2x2+12x−4
2x2+8
x3−2x2+1
Find f(2).
-2
-18
24
6
Find g(5)
3375
375
25
45
f(x-2)
2x2 - 13x + 18
2x2 - 5x + 18
2x2 - 8x + 3
2x2 - 13x + 2
g(4x)
1728x3
12x3
192x3
36x3
Find f[g(5)]
30
242
92
2
Given that
f(x)=6x−2 , g(x)=2x2+4 , h(x)=3−2x and k(x)=x2−3x , evaluate the following
k(−7)−g(8)
(a)
Given that
f(x)=6x−2 , g(x)=2x2+4 , h(x)=3−2x and k(x)=x2−3x , evaluate the following
(k ∘ g)(2)
(a)
Given that
f(x)=6x−2 , g(x)=2x2+4 , h(x)=3−2x and k(x)=x2−3x , evaluate the following
f(g(h(3)))
(a)
Given that
f(x)=6x−2 , g(x)=2x2+4 , h(x)=3−2x and k(x)=x2−3x , evaluate the following
(k−g)(x)
−x2−3x−4
−x2−3x+4
3x2−3x−4
x2−3x+4
Which relation does the mapping show?
{(0, 1), (1, 2),(3, 4)}
{(0, 1), (1, 2), (2, 2), (3, 4)}
{(1, 0), (2, 1), (2, 2), (4, 3)}
{(1, 0), (2, 1), (4, 3)}
Which mapping diagram is not a function?
Identify all of the functions
A videoke machine can be rented for 1000 pesos for the 1st 24 hrs. In excess, an amount of 40 pesos per hour or a fraction of an hour shall be charged. What is the correct piecewise function that can represent the given situation?
R(h)={1000 if 0<h≤24 }
R(h)={1000 if 0<h≤24 } R(h)={1000+40⌊x−24⌋ if h>24}
R(h)={1000 if 0<h≤24} R(h)={1000+40⌈x−24⌉ if h>24}
A videoke machine can be rented for 1000 pesos for the 1st 24 hrs. In excess, an amount of 40 pesos per hour or a fraction of an hour shall be charged. How much should you pay for the rent if you used it for 30 hrs.?
1000
1240
2000
Cotta National High School has 1,200 students enrolled in 2016
and 1,500 students in 2019. The student population P grows as a
linear function of time (t), where t is the number of years after 2016.
B. How many students will be enrolled in Cotta National High School by 2020?
1900
1800
1700
1600
Mark charges ₱100.00 for an encoding work. In addition, he charges ₱5.00 per page of printed output.
A. Find a function f(x) where x represents the number of pages of printed out.
f(x) = 100 + 5x
f(x) = 100 - 5x
f(x) = 100 + 2x
f(x) = 100 - 2x
Maryjoy can bake a cake in 2 hours. Clarissa can do it in 4 hours. How long will it take them to bake a cake if they joined together?
2 hours
1 1/3 hours
1 1/6 hours
5/3 hours
Sterling Silver is 92.5% pure silver. How many grams of Sterling Silver must be mixed to a 90% Silver alloy to obtain a 500g of a 91% Silver alloy?
200 grams
400 grams
300 grams
100 grams
Seven divided by the sum of a number and two is equal to half the difference of the number and three. Find all such numbers.
-5 and 4
10 and -2
5 and -4
-10 and 2
Yen-yen got an average grade of 91 on her 4 subjects. What must be her grade on the fifth subject to get an average of 92?
94
95
96
97
-15+8=
23
7
-7
7 + (-16) =
23
-9
9
-7 + (-18) =
-25
25
-11
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(25 + 25) x 0
25
50
0
5
5x7+(-27)=
35
-100
-8
8
-35
73
343
10
21
-343
44
-256
8
256
16
What does (-2)3 mean?
-(2)(2)(2)
(-2)(3)
(-2)(-2)(-2)
(-2)(2)(2)
Which of the following expressions has a value of 9?
5−(3+7)
4(3+2)+5
−2(3−7)+1
21+(−9+3)
Evaluate the expression.
−9−(−8)+2⋅42
(a)
Evaluate the expression.
(7+(−25))÷32⋅4
(a)
Which letter on the number line represents -1?
A
B
C
D
27 or 72
9 x 9 x 9 x 9 x 9
23 = 8
What does the term "squared" mean?
raised to the power of 3
raised to the power of 4
raised to the power of 2
You peer through a window into a classroom and count 20 eyes. If each person has a normal number of eyes, how many people are in the room?
10
20
15
7
Solve the following equation: 3 + 2 / 1 =
7
13
5
9
On a class field trip, there are 4 buses taking 36 students to the zoo. Each bus has the same number of students. How many students are on each bus?
20
10
9
7
2 dozen kittens and 3 dozen puppies get adopted from the shelter. How many animals were adopted?
23
30
60
90
What number is the Roman numeral XVI?
10
16
5
12
When writing out a fraction, the numbers above and below the vinculum are called the…
domination, numeration
top number, bottom number
numerator and denominator
fraction and proportion
If a shopping cart contains 1 apple, 2 bananas, 3 oranges, 4 hot dogs, what percent of the cart’s total contents is fruit?
4%
11%
99%
60%
A farmer notices that every day for the past 10 days, the number of pigeons in his field has doubled. There are 1024 pigeons in the field today, and there were 2 pigeons there the first day. How many pigeons were there yesterday?
325 pigeons
97 pigeons
512 pigeons
52 pigeons
A farmer notices that every day for the past 10 days, the number of pigeons in his field has doubled. There are 1024 pigeons in the field today, and there were 2 pigeons there the first day. How many pigeons were there yesterday?
325 pigeons
97 pigeons
512 pigeons
52 pigeons
You have 20 pairs of shoes, but there is only room in your closet for 8 shoes. How many shoes do you have to get rid of?
24 shoes
32 shoes
98 shoes
11 shoes
There are 28 books on a bookshelf and 14 students in the class. How many books can each student take to read?
4 books
2 books
9 books
0 books
In the expression 2xy + 3x - 4, we would call "2xy," "3x," and "-4"...
factors
variables
terms
coefficients
In the expression 2xy + 3x - 4, we would call "2" and "3"...
terms
variables
coefficients
expressions
In the expression 2xy + 3x - 4, we would call "-4" a...
variable
expression
constant
factor
In the expression 2xy + 3x - 4, we would call "x" and "y"...
terms
coefficients
variables
constants
In 2xy, we would call "2," "x," and "y"...
terms
factors
variables
constants
We would read "Δy" as...
"triangle y"
"delta y" or "change in y"
y-intercept, where it crosses the y-axis
"slope"
We would read "Δx" as...
"triangle x"
"delta x" or "change in x"
the x-intercept where it crosses x-axis
"slope"
"slope" is...
a measure of how flat a line is
how much the line starts with
Δy / Δx - you divide the change in y over the change in x
none of the above
How many quadrants are on a graph?
6
1
4
2
The X-axis goes ...
Horizontal
up and down
diagonal
The Y-axis goes...
Vertical
zig zag
in a circle
Write the ordered pair for point Q. Use the grid.
(5,0)
(4,2)
(4,4)
(2,5)
What is the point where the x-axis and y-axis intersect?
(0,0)
(1,1)
(2,2)
(3,3)
What does the x-coordinate represent in the coordinate plane?
Horizontal position
Vertical position
Quadrant number
Origin point
What is the vertical line test used for?
To determine if a graph represents a function
To find the common difference in an arithmetic sequence
To calculate the range of a function
To plot points on the coordinate plane
Choose the BEST definition for a function:
Every output has exactly one input.
The graph passes the vertical line test.
The graph passes the horizontal line test.
Every input has exactly one output.
Which operation does "sum" represent?
addition
division
multiplication
subtraction
How do we call to the answer of a multiplication problem?
Product
Sum
Difference
Quotient
Difference is the name for the answer of a: ______________ problem.
Subtraction
Multiplication
Division
Addition
A LED TV is on sale for 18% off. If the original price was $800, what is the sale price?
$944
$678
$656
$696
What is a Rectangular Coordinate System?
It is a coordinate system that is used for naming points in a plane.
It is a coordinate system that is used for graphing linear functions.
It is a coordinate system that is used to determine the location of a point by using a single number.
It is a coordinate system that is composed of two perpendicular number lines that meet at a point of origin.
Which among these mathematicians was the Cartesian Plane named after?
Euclid
Pythagoras
Rene Descartes
Blaise Pascal
