2. MATHEMATICS REVIEW SESSIONS 2023
Directions: Read the questions carefully
and write the letter of your answer in a
separate answer sheet.
You will be given 45 seconds each item.
READY?
3. MATHEMATICS REVIEW SESSIONS 2023
For items 1-3. Refer to the situation below.
ABC computer shop charges 20 pesos for the first hour and an additional of 15
pesos per hour for each succeeding hour, so the charge of the shop (y) is
related to the number of hours (x) using the function.
1. Which of the following equations represent the function
from the given problem?
A. 𝑥 = 15𝑦 + 20 C. {𝑥 =20+15𝑦 ,𝑖𝑓 𝑑>1
20 ,𝑖𝑓 0<𝑑 ≤1
B. 𝑦 = 15𝑥 + 20 D. {𝑦 =20+15𝑥 ,𝑖𝑓 𝑑>1
20 ,𝑖𝑓 0<𝑑 ≤1
4. MATHEMATICS REVIEW SESSIONS 2023
For items 1-3. Refer to the situation below.
ABC computer shop charges 20 pesos for the first hour and an additional of 15
pesos per hour for each succeeding hour, so the charge of the shop (y) is
related to the number of hours (x) using the function.
2. Which of the following statements is TRUE?
A. If the number of hours increases, the computer charges increase.
B. If the number of hours increases, the computer charges decrease.
C. If the number of hours decreases, the computer charges increase.
D. The total number of hours does not affect the computer charges.
5. MATHEMATICS REVIEW SESSIONS 2023
For items 1-3. Refer to the situation below.
ABC computer shop charges 20 pesos for the first hour and an additional of 15
pesos per hour for each succeeding hour, so the charge of the shop (y) is
related to the number of hours (x) using the function.
3. Mr. Gomez used one of their computers for 240 minutes, how
much would he pay?
A. 20 pesos
B. 45 pesos
C. 60 pesos
D. 65 pesos
6. MATHEMATICS REVIEW SESSIONS 2023
4. Given ℎ(𝑥) = 𝑥2 − 5 and 𝑝(𝑥) = 2𝑥 + 4.
Find (ℎ + 𝑝) (𝑥)
A. 𝑥2 – 2𝑥 – 9
B. 𝑥2 + 2𝑥 − 1
C. 2𝑥2 – 6
D. 𝑥2 + 2𝑥 − 9
7. MATHEMATICS REVIEW SESSIONS 2023
5. Which of the following statements is not true?
A. The exponential form of
1
8
is 8-1
B. The Expression (3∙5)7 is equal to 37∙57
C. There is an integer x that will make x3 equal
to 3x
D. Any real number raise to the power of 0 is
always equal to 1.
8. MATHEMATICS REVIEW SESSIONS 2023
For items 6-7. Refer to the illustration below.
A function relates an input to an output. It is like a machine that has an input and an
output. Function machine can be applied to numbers or be used for algebraic
manipulation. They can be used to solve number problems, solve equation, and
rearrange formulae.
Example:
6. Find the missing input for the
function machine shown below.
A. 3
B. 4
C. 5
D. 6
Output
Input X 6
+ 9
36
Input + 6
x10
84
5 X 6
+ 9
9y +6
y + 6
x9
9. MATHEMATICS REVIEW SESSIONS 2023
For items 6-7. Refer to the illustration below.
A function relates an input to an output. It is like a machine that has an input and an
output. Function machine can be applied to numbers or be used for algebraic
manipulation. They can be used to solve number problems, solve equation, and
rearrange formulae.
Example:
7. Which of the following is a correct
function machine for the equation
5𝑦 + 4 = −2?
A.
B.
C.
D.
Output
Input X 6
+ 9
84
5 X 6
+ 9
9y +6
y + 6
x9
-2
y + 4
+5
-2
y + 4
x5
-2
y + 4
+y
y
-222 + 4
+5
10. MATHEMATICS REVIEW SESSIONS 2023
For items 8-9. Given 𝒇 𝒙 =
𝟓
𝟑𝒙+𝟒
and a table of values
8. Which of the following values would be the value of 𝑓(𝑥),
if 𝑥 = −2?
A. -2.5
B. 0.5
C. 1.25
D. 2.5
X -3 -2 -1 0 1 2 3
F(x) -1 5 1.25 0.714 0.5
11. MATHEMATICS REVIEW SESSIONS 2023
For items 8-9. Given 𝒇 𝒙 =
𝟓
𝟑𝒙+𝟒
and a table of values
9. Which of the following graphs would be the graph of 𝑓(𝑥) =
5
3𝑥+4
?
A. C.
B. D.
X -3 -2 -1 0 1 2 3
F(x) -1 5 1.25 0.714 0.5
12. MATHEMATICS REVIEW SESSIONS 2023
10. Suppose there are 10 family members in a
household, there are more boys than girls. Determine
which of following statement is incorrect. Let g number
of girls and let b number of boys.
A. When b =8, then g = 2 and b > g
B. When b = 7, then g=3 and b> g
C. When b=6, then g=4 and b> g
D. When b=5, then g=5 and b > g
13. MATHEMATICS REVIEW SESSIONS 2023
For items 11-13. Refer to the situation below.
In a farm, five cows were set loose, and their population growth can
be approximated by the function c(t)=[
𝟐𝟓 𝒕+𝟏
𝒕+𝟒
] where c represents
the cow population in year t since they were set loose.
11. How many cows will be there after 3 years?
A. 7
B. 14
C. 21
D. 28
14. MATHEMATICS REVIEW SESSIONS 2023
For items 11-13. Refer to the situation below.
In a farm, five cows were set loose, and their population growth can
be approximated by the function c(t)=[
𝟐𝟓 𝒕+𝟏
𝒕+𝟒
] where c represents
the cow population in year t since they were set loose.
12. What is the maximum cow population that the farm
can support?
A. 25
B. 50
C. 75
D. 100
15. MATHEMATICS REVIEW SESSIONS 2023
For items 11-13. Refer to the situation below.
In a farm, five cows were set loose, and their population growth can
be approximated by the function c(t)=[
𝟐𝟓 𝒕+𝟏
𝒕+𝟒
] where c represents
the cow population in year t since they were set loose.
13. How long will it take to have 18 cows in the farm?
A. 5
B. 6
C. 7
D. 8
16. MATHEMATICS REVIEW SESSIONS 2023
For items 14-15. Refer to the situation below.
Maria and Mariz start to open their piggy bank. Maria has 3 times as
much money as Mariz. Maria gives 2500 pesos to Mariz, and then Mariz
has more money than Maria.
14. If Mariz starts with P(x), then which of the following is a
correct inequality for p?
A. 3𝑃 + 2500 < ℎ − 2500
B. 3𝑃 + 2500 > ℎ − 2500
C. 𝑃 + 2500 > 3𝑃 – 2500
D. 𝑃 + 2500 < 3𝑃 − 2500
17. MATHEMATICS REVIEW SESSIONS 2023
For items 14-15. Refer to the situation below.
Maria and Mariz start to open their piggy bank. Maria has 3 times as
much money as Mariz. Maria gives 2500 pesos to Mariz, and then Mariz
has more money than Maria.
15. How much money does Maria have from the start if Mariz
has Php 4,500 after Maria gave her Php 2,500.00?
A. Php 6000.00
B. Php 7,000.00
C. Php 7,500.00
D. Php 13,500.00
18. MATHEMATICS REVIEW SESSIONS 2023
16. Which of the following does NOT
describe the given graph of a function?
A. The domain of f equals the range of𝑓−1
and the range of f equals the domain of 𝑓−1
B. No horizontal line intersects the graph
of the function f in more than one point.
C. No two elements in the domain of f correspond
to the same element in the range of f.
D. The graph of a function and the graph of its inverse
are parallel with respect to the line y=x.
19. MATHEMATICS REVIEW SESSIONS 2023
For items 17-20. Refer to the situation below.
Exponential Functions are used to model
populations, determine time of death, compute
investments, as well as many other applications like
the spreads of corona virus.
The tree diagram shows a potential coronavirus
chain and transmission. One infected person
spread the virus to two other people. These two
people each of them spreads the virus to two other
people and so on.
17. How many people
will be infected if it will
reach up to 10 stages?
A. 20 people
B. 100 people
C. 1,024 people
D. 2, 048 people
Stage of
Coronavirus
Tree
Number of
New
infections
(x,y)
0 1 (0,1)
1 2 (1,2)
2 4 (2,4)
3
4
5
6
20. MATHEMATICS REVIEW SESSIONS 2023
For items 17-20. Refer to the situation below.
Exponential Functions are used to model
populations, determine time of death, compute
investments, as well as many other applications like
the spreads of corona virus.
The tree diagram shows a potential coronavirus
chain and transmission. One infected person
spread the virus to two other people. These two
people each of them spreads the virus to two other
people and so on.
18. What stage of
coronavirus if the
number of infected
persons is 128?
A. 5
B. 6
C. 7
D. 8
Stage of
Coronavirus
Tree
Number of
New
infections
(x,y)
0 1 (0,1)
1 2 (1,2)
2 4 (2,4)
3
4
5
6
21. MATHEMATICS REVIEW SESSIONS 2023
For items 17-20. Refer to the situation below.
Exponential Functions are used to model
populations, determine time of death, compute
investments, as well as many other applications like
the spreads of corona virus.
The tree diagram shows a potential coronavirus
chain and transmission. One infected person
spread the virus to two other people. These two
people each of them spreads the virus to two other
people and so on.
19. Which of the
following equations
represent the growth of
the corona virus
infection?
A. 𝑋 = 𝑌2
B. 𝑋 = 2𝑦
C. 𝑌 = 𝑋2
D. 𝑦 = 2𝑥
Stage of
Coronavirus
Tree
Number of
New
infections
(x,y)
0 1 (0,1)
1 2 (1,2)
2 4 (2,4)
3
4
5
6
22. MATHEMATICS REVIEW SESSIONS 2023
For items 17-20. Refer to the situation below.
Exponential Functions are used to model
populations, determine time of death, compute
investments, as well as many other applications like
the spreads of corona virus.
The tree diagram shows a potential coronavirus
chain and transmission. One infected person
spread the virus to two other people. These two
people each of them spreads the virus to two other
people and so on.
20. A culture starts at
2,000 bacteria and
doubles every 80 minutes.
How long will it take the
number of bacteria to
reach 10,000?
A. 176 minutes
B. 186 minutes
C. 190 minutes
D. 160 minutes
Stage of
Coronavirus
Tree
Number of
New
infections
(x,y)
0 1 (0,1)
1 2 (1,2)
2 4 (2,4)
3
4
5
6
25. MATHEMATICS REVIEW SESSIONS 2023
For items 1-3. Refer to the situation below.
ABC computer shop charges 20 pesos for the first hour and an additional of 15
pesos per hour for each succeeding hour, so the charge of the shop (y) is
related to the number of hours (x) using the function.
1. Which of the following equations represent the function
from the given problem?
A. 𝑥 = 15𝑦 + 20 C. {𝑥 =20+15𝑦 ,𝑖𝑓 𝑑>1
20 ,𝑖𝑓 0<𝑑 ≤1
B. 𝑦 = 15𝑥 + 20 D. {𝑦 =20+15𝑥 ,𝑖𝑓 𝑑>1
20 ,𝑖𝑓 0<𝑑 ≤1
26. MATHEMATICS REVIEW SESSIONS 2023
For items 1-3. Refer to the situation below.
ABC computer shop charges 20 pesos for the first hour and an additional of 15
pesos per hour for each succeeding hour, so the charge of the shop (y) is
related to the number of hours (x) using the function.
2. Which of the following statements is TRUE?
A. If the number of hours increases, the computer charges increase.
B. If the number of hours increases, the computer charges decrease.
C. If the number of hours decreases, the computer charges increase.
D. The total number of hours does not affect the computer charges.
27. MATHEMATICS REVIEW SESSIONS 2023
For items 1-3. Refer to the situation below.
ABC computer shop charges 20 pesos for the first hour and an additional of 15
pesos per hour for each succeeding hour, so the charge of the shop (y) is
related to the number of hours (x) using the function.
3. Mr. Gomez used one of their computers for 240 minutes, how
much would he pay?
A. 20 pesos
B. 45 pesos
C. 60 pesos
D. 65 pesos
28. MATHEMATICS REVIEW SESSIONS 2023
4. Given ℎ(𝑥) = 𝑥2 − 5 and 𝑝(𝑥) = 2𝑥 + 4.
Find (ℎ + 𝑝) (𝑥)
A. 𝑥2 – 2𝑥 – 9
B. 𝑥2 + 2𝑥 − 1
C. 2𝑥2 – 6
D. 𝑥2 + 2𝑥 − 9
29. MATHEMATICS REVIEW SESSIONS 2023
5. Which of the following statements is not true?
A. The exponential form of
1
8
is 8-1
B. The Expression (3∙5)7 is equal to 37∙57
C. There is an integer x that will make x3 equal
to 3x
D. Any real number raise to the power of 0 is
always equal to 1.
30. MATHEMATICS REVIEW SESSIONS 2023
For items 6-7. Refer to the illustration below.
A function relates an input to an output. It is like a machine that has an input and an
output. Function machine can be applied to numbers or be used for algebraic
manipulation. They can be used to solve number problems, solve equation, and
rearrange formulae.
Example:
6. Find the missing input for the
function machine shown below.
A. 3
B. 4
C. 5
D. 6
Output
Input X 6
+ 9
36
Input + 6
x10
84
5 X 6
+ 9
9y +6
y + 6
x9
31. MATHEMATICS REVIEW SESSIONS 2023
For items 6-7. Refer to the illustration below.
A function relates an input to an output. It is like a machine that has an input and an
output. Function machine can be applied to numbers or be used for algebraic
manipulation. They can be used to solve number problems, solve equation, and
rearrange formulae.
Example:
7. Which of the following is a correct
function machine for the equation
5𝑦 + 4 = −2?
A.
B.
C.
D.
Output
Input X 6
+ 9
84
5 X 6
+ 9
9y +6
y + 6
x9
-2
y + 4
+5
-2
y + 4
x5
-2
y + 4
+y
y
-222 + 4
+5
32. MATHEMATICS REVIEW SESSIONS 2023
For items 8-9. Given 𝒇 𝒙 =
𝟓
𝟑𝒙+𝟒
and a table of values
8. Which of the following values would be the value of 𝑓(𝑥),
if 𝑥 = −2?
A. -2.5
B. 0.5
C. 1.25
D. 2.5
X -3 -2 -1 0 1 2 3
F(x) -1 5 1.25 0.714 0.5
33. MATHEMATICS REVIEW SESSIONS 2023
For items 8-9. Given 𝒇 𝒙 =
𝟓
𝟑𝒙+𝟒
and a table of values
9. Which of the following graphs would be the graph of 𝑓(𝑥) =
5
3𝑥+4
?
A. C.
B. D.
X -3 -2 -1 0 1 2 3
F(x) -1 5 1.25 0.714 0.5
34. MATHEMATICS REVIEW SESSIONS 2023
10. Suppose there are 10 family members in a
household, there are more boys than girls. Determine
which of following statement is incorrect. Let g number
of girls and let b number of boys.
A. When b =8, then g = 2 and b > g
B. When b = 7, then g=3 and b> g
C. When b=6, then g=4 and b> g
D. When b=5, then g=5 and b > g
35. MATHEMATICS REVIEW SESSIONS 2023
For items 11-13. Refer to the situation below.
In a farm, five cows were set loose, and their population growth can
be approximated by the function c(t)=[
𝟐𝟓 𝒕+𝟏
𝒕+𝟒
] where c represents
the cow population in year t since they were set loose.
11. How many cows will be there after 3 years?
A. 7
B. 14
C. 21
D. 28
36. MATHEMATICS REVIEW SESSIONS 2023
For items 11-13. Refer to the situation below.
In a farm, five cows were set loose, and their population growth can
be approximated by the function c(t)=[
𝟐𝟓 𝒕+𝟏
𝒕+𝟒
] where c represents
the cow population in year t since they were set loose.
12. What is the maximum cow population that the farm
can support?
A. 25
B. 50
C. 75
D. 100
37. MATHEMATICS REVIEW SESSIONS 2023
For items 11-13. Refer to the situation below.
In a farm, five cows were set loose, and their population growth can
be approximated by the function c(t)=[
𝟐𝟓 𝒕+𝟏
𝒕+𝟒
] where c represents
the cow population in year t since they were set loose.
13. How long will it take to have 18 cows in the farm?
A. 5
B. 6
C. 7
D. 8
38. MATHEMATICS REVIEW SESSIONS 2023
For items 14-15. Refer to the situation below.
Maria and Mariz start to open their piggy bank. Maria has 3 times as
much money as Mariz. Maria gives 2500 pesos to Mariz, and then Mariz
has more money than Maria.
14. If Mariz starts with P(x), then which of the following is a
correct inequality for p?
A. 3𝑃 + 2500 < ℎ − 2500
B. 3𝑃 + 2500 > ℎ − 2500
C. 𝑃 + 2500 > 3𝑃 – 2500
D. 𝑃 + 2500 < 3𝑃 − 2500
39. MATHEMATICS REVIEW SESSIONS 2023
For items 14-15. Refer to the situation below.
Maria and Mariz start to open their piggy bank. Maria has 3 times as
much money as Mariz. Maria gives 2500 pesos to Mariz, and then Mariz
has more money than Maria.
15. How much money does Maria have from the start if Mariz
has Php 4,500 after Maria gave her Php 2,500.00?
A. Php 6000.00
B. Php 7,000.00
C. Php 7,500.00
D. Php 13,500.00
40. MATHEMATICS REVIEW SESSIONS 2023
16. Which of the following does NOT
describe the given graph of a function?
A. The domain of f equals the range of𝑓−1
and the range of f equals the domain of 𝑓−1
B. No horizontal line intersects the graph
of the function f in more than one point.
C. No two elements in the domain of f correspond
to the same element in the range of f.
D. The graph of a function and the graph of its inverse
are parallel with respect to the line y=x.
41. MATHEMATICS REVIEW SESSIONS 2023
For items 17-20. Refer to the situation below.
Exponential Functions are used to model
populations, determine time of death, compute
investments, as well as many other applications like
the spreads of corona virus.
The tree diagram shows a potential coronavirus
chain and transmission. One infected person
spread the virus to two other people. These two
people each of them spreads the virus to two other
people and so on.
17. How many people
will be infected if it will
reach up to 10 stages?
A. 20 people
B. 100 people
C. 1,024 people
D. 2, 048 people
Stage of
Coronavirus
Tree
Number of
New
infections
(x,y)
0 1 (0,1)
1 2 (1,2)
2 4 (2,4)
3
4
5
6
42. MATHEMATICS REVIEW SESSIONS 2023
For items 17-20. Refer to the situation below.
Exponential Functions are used to model
populations, determine time of death, compute
investments, as well as many other applications like
the spreads of corona virus.
The tree diagram shows a potential coronavirus
chain and transmission. One infected person
spread the virus to two other people. These two
people each of them spreads the virus to two other
people and so on.
18. What stage of
coronavirus if the
number of infected
persons is 128?
A. 5
B. 6
C. 7
D. 8
Stage of
Coronavirus
Tree
Number of
New
infections
(x,y)
0 1 (0,1)
1 2 (1,2)
2 4 (2,4)
3
4
5
6
43. MATHEMATICS REVIEW SESSIONS 2023
For items 17-20. Refer to the situation below.
Exponential Functions are used to model
populations, determine time of death, compute
investments, as well as many other applications like
the spreads of corona virus.
The tree diagram shows a potential coronavirus
chain and transmission. One infected person
spread the virus to two other people. These two
people each of them spreads the virus to two other
people and so on.
19. Which of the
following equations
represent the growth of
the corona virus
infection?
A. 𝑋 = 𝑌2
B. 𝑋 = 2𝑦
C. 𝑌 = 𝑋2
D. 𝑦 = 2𝑥
Stage of
Coronavirus
Tree
Number of
New
infections
(x,y)
0 1 (0,1)
1 2 (1,2)
2 4 (2,4)
3
4
5
6
44. MATHEMATICS REVIEW SESSIONS 2023
For items 17-20. Refer to the situation below.
Exponential Functions are used to model
populations, determine time of death, compute
investments, as well as many other applications like
the spreads of corona virus.
The tree diagram shows a potential coronavirus
chain and transmission. One infected person
spread the virus to two other people. These two
people each of them spreads the virus to two other
people and so on.
20. A culture starts at
2,000 bacteria and
doubles every 80 minutes.
How long will it take the
number of bacteria to
reach 10,000?
A. 176 minutes
B. 186 minutes
C. 190 minutes
D. 160 minutes
Stage of
Coronavirus
Tree
Number of
New
infections
(x,y)
0 1 (0,1)
1 2 (1,2)
2 4 (2,4)
3
4
5
6