Mathematics 7_Lesson 4_Week .........pdf

Learning Activity Sheet
for Mathematics
7
Quarter 4
Lesson
4

Worksheet for Mathematics Grade 7
Quarter 4: Lesson 4 (Week 4)
SY 2024-2025
This material is intended exclusively for the use of teachers in the implementation of
the MATATAG K to 10 Curriculum during the School Year 2024-2025. It aims to assist in
delivering the curriculum content, standards, and lesson competencies. Any unauthorized
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nor claim ownership over them.
Every care has been taken to ensure the accuracy of the information provided in this
material. For inquiries or feedback, please write or call the Office of the Director of the Bureau
of Learning Resources via telephone numbers (02) 8634-1072 and 8631-6922 or by email at
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Development Team
Writer:
• Teresita C. Dalamcio (Malabon City National Science and Mathematics High School)
Validator:
• Roldan S. Cardona (Philippine Normal University – North Luzon)
Management Team
Philippine Normal University
Research Institute for Teacher Quality
SiMERR National Research Centre

Mathematics 7 Quarter 4 1
LEARNING ACTIVITY SHEET
Learning Area: Mathematics Quarter: 4
Lesson No.: 4 Date:
Lesson Title/ Topic: Solving Equations by Applying Properties of Equality
Name: Grade & Section:
I. Activity No.1: Quality Time (30 minutes)
II. Objective(s): At the end of the activity, you should be able to
1. Solve simple equations applying properties of equality to find unknowns.
2. Illustrate the properties of equality
III. Materials Needed: pen, scissors, paste
IV. Instructions:
A. Quality Time. Paste all the equations with a solution in the boxes below. Arrange the
equations in order by their solutions from least to greatest. Then write the letters in order on
the lines below.
Word Formed: ______ ______ ______ ______ ______ _____ _______ _______
Equations:
Reflection: What word can be formed? What can you say about the word?
_________________________________________________________________________________________
_________________________________________________________________________________________

Paste it here:
Cut this part __________________________________________________________________________________
S
2x + 4 = 18
E
3x + 2 = 20
N
3x - 2 = 13
A
2x + 1 = 3
S
4x+5= 3x+15
F
12x = -144
R
6x+5=4x+13
I
6 = 3 (x -1)

B. Help Me! Let us help Shaina find her easy way home. The other way she was using was
closed due to the pavement of the road, so she needed to find another way to go home. To
help Shaina, let us solve the following equations and find the correct route going to their
home.

LEARNING ACTIVITY SHEET
Learning Area: Mathematics Quarter: 4th Quarter
Lesson No.: 2 Date:
Lesson Title/ Topic: Solving problems involving Algebraic Formulas
Name: Grade & Section:
I. Activity No.2: Solve Me! (30 minutes)
II. Objective(s): At the end of the activity, you should be able to solve problems involving
algebraic formulas.
III. Materials Needed: pen, scissors, paste
IV. Instructions:
A. Solve Me! Read and analyze the problem, then answer the question that follows.
1. The sum of a number and 20 is three times the number, what is the number?
2. If the perimeter of a square garden is 48 m., what is the length of each side of the garden?
3. Tina had Php 300.00 in her wallet. She bought 4 ribbons worth x pesos each. If the
money left in her wallet is Php 100.00, how much is the price of each ribbon?
4. A student gave the solution to the given equation – 14 = 3x – 2. Check if the answer is
correct.
-14 = 3x -2
-14 + 2 = 3x – 2 + 2
- 12 = 3x
-12 (
1
3
) = 3x (
1
3
)
- 4 = x
a. Is the solution correct?
b. Did you find the value of the unknown?
c. Do you have suggestions for making the solution simpler?

B. Find Someone. Students will be given 5-10 minutes to complete their card. Go around the
room and ask the help of their classmates to solve one task on the card. Write the correct
answer and the name of his/her classmate in the box where the equation is located.
V. Synthesis/Extended Practice/Differentiation (if needed):
A. Answer the following, show your solution, and check.
1. What is the value of y in the algebraic equation 2y + 4 = 16 using the properties of
equality.
2. What property of equality can we use to solve the given equation 4x = 28?
3. Thirty-five more than 8 times a number is the same as 40 less than the product of -7
and the number. What is the number?
4. What is wrong with the given equation? Explain then make necessary corrections.
2a - 5 = 17
2a - 5 + 5 = 17 - 5
2a = 12
5. Alexa has invested part of Php 30,000.00 at 5% interest and has deposited the rest at
6% interest in the bank. If her investment gives her an annual income of Php 1,620.00,
how much has she invested in each?
6. The difference between the two numbers is 67. The larger number is 3 less than six times
the smaller number. Find the two numbers.
7. The age of Alex is 4, more than 3 times the age of Sonny. The sum of their ages is 32.
Find their ages.
Value of x that can
make the equation true
if x + 8 = 24
Can give the value of x
in 3x = -24
so that 2x + 8 = 32 is a
true equation.
Value of x that can
if 3x = 75
in -6x - 4 = 16
so that 2x + 5 = 7 is a
true equation.
Value of x that can
if 5x + 4 = -11
in 12x = 144
so that 2(x + 5) = 32 is
a true equation.

B. Find the value of the unknown variable.
1. x + 5 = 3
2. 2x + 7 = 35
3. x – 8 = 31
4. 5 + x = 2x – 9
5. -7 – x = 5x -37
6. 3x + 4 = 46
7. x – 1 = 9
8. 2x + 6 = x – 9
9. 8 + x = 38 – 2x
10.x – 25 = 20 + 2x

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