This document provides instruction on evaluating algebraic expressions. It begins with an opening prayer related to mathematics. It then states the learning competency and objectives which are to evaluate expressions for given variable values and real-life expressions. Various math terms are defined such as constant, variable, term, and exponent. Examples of evaluating multi-step expressions are provided using the order of operations. The document also discusses substituting values for variables and performing operations. Real-life examples on costs are presented for students to evaluate. In closing, key ideas are summarized in notes on algebraic expressions, constants, variables, and the process of evaluating expressions.

1. Evaluating
Algebraic Expressions
MATHEMATICS 7
Quarter 2 Week 4
MR. CARLO JUSTINO J. LUNA

2. THE MATHEMATICIAN’S PRAYER
Heavenly Father, thank You for all the blessings You gave unto us.
Add joy to the world;
Subtract evil from our lives,
Multiply the good things for us.
Divide the gifts and share them to others.
Convert badness to goodness.
Help us raise our needs to You.
Extract the roots of immoralities
and perform our different functions in life.
Tell us all that life is as easy as math.
Help us all to solve our problems.
These we ask in Jesus’ name,
the greatest mathematician who ever lived on earth,
Amen!

3. LEARNING COMPETENCY
Evaluates algebraic expressions for given
values of the variables (M7ALIIc-4)
LEARNING OBJECTIVES
At the end of the discussion, the learners will
be able to:
• Evaluate mathematical expressions for the
given values of the variables
• Evaluate real-life algebraic expressions

4. SNOCANTT
A symbol that have fixed value
VOCABULARY
CONSTANT

5. VABLEIRA
A symbol, usually letters, which represents a value
or a number
VARIABLE
VOCABULARY

6. MERT
A symbol, usually a letter, used to represent any
unknown number
TERM
VOCABULARY

7. TENPOXEN
A small number written to the right of slightly
above another number or letter to indicate how
many times the letter or number is used as a
factor
EXPONENT
VOCABULARY

8. ALGAECBIR ESIONPREXS
Any combination of one or more constants and
variables along with at least one mathematical
operation
ALGEBRAIC EXPRESSION
VOCABULARY

9. DRILL
A
Find the answer to the following multi-operation mathematical expression by connecting
the expression in column A to the corresponding answer in column B.
𝟑 𝟖 − (𝟏𝟒 + 𝟏𝟎)
(𝟐 + 𝟔)(𝟐 − 𝟑)
𝟐 𝟑 + 𝟒 − 𝟓
𝟐 + 𝟔 𝟐 − (−𝟒)
𝟐 𝟑 /(𝟑 − 𝟏)
[𝟒 + 𝟐 + (𝟐𝟒/𝟔)] 𝟐
B
𝟓
𝟏𝟎𝟎
−𝟖
𝟑
𝟐𝟎
𝟎

10. REVIEW
How do we solve multi-operation
mathematical expression?
PEMDAS
Parenthesis, Exponent, Multiplication,
Division, Addition, Subtraction

11. MOTIVATION
SUBSTITUTION
MAPEH Integration
How do we substitute in basketball?

12. Activity:
Sub Me In!

13. Activity:
Sub Me In!
A = 1
B = 2
C = 3
D = 4
E = 5
F = 6
G = 7
H = 8
I = 9
J = 10
K = 11
L = 12
M = 13
N = 14
O = 15
P = 16
Q = 17
R = 18
S = 19
T = 20
U = 21
V = 22
W = 23
X = 24
Y = 25
Z = 26
HUMBLE 61

14. Activity:
Sub Me In!
A = 1
B = 2
C = 3
D = 4
E = 5
F = 6
G = 7
H = 8
I = 9
J = 10
K = 11
L = 12
M = 13
N = 14
O = 15
P = 16
Q = 17
R = 18
S = 19
T = 20
U = 21
V = 22
W = 23
X = 24
Y = 25
Z = 26
KNOWLEDGE 96

15. Activity:
Sub Me In!
A = 1
B = 2
C = 3
D = 4
E = 5
F = 6
G = 7
H = 8
I = 9
J = 10
K = 11
L = 12
M = 13
N = 14
O = 15
P = 16
Q = 17
R = 18
S = 19
T = 20
U = 21
V = 22
W = 23
X = 24
Y = 25
Z = 26
HARDWORK 98

16. Activity:
Sub Me In!
A = 1
B = 2
C = 3
D = 4
E = 5
F = 6
G = 7
H = 8
I = 9
J = 10
K = 11
L = 12
M = 13
N = 14
O = 15
P = 16
Q = 17
R = 18
S = 19
T = 20
U = 21
V = 22
W = 23
X = 24
Y = 25
Z = 26
ATTITUDE 100

17. VALUES Integration
What Equals 100%?
HARDWORK = 98%
KNOWLEDGE = 96%
ATTITUDE = 100%
LOVE OF GOD
= 12+15+22+5+15+6+7+15+4
= 101%
While Hard work and Knowledge will get you close,
and Attitude will get you there, it's the Love of God
that will put you over the top!

18. Analysis:
1. What did we do in our activity?
2. How did we find the value of the given
words?
When a number is substituted or replaced for
the variable in each algebraic expression, the
expression takes a numerical value. And
finding the value is what we call “Evaluating
the Algebraic Expression”.
Activity:
Sub Me In!

19. Evaluating Algebraic Expressions
- is substituting a certain number for that variable and
performs using the order of the arithmetic operations
For example:
1. If 𝑥 = 5, what is the value of 3𝑥 − 4?
2. If 𝑦 = −2 what is the value of 5𝑦 + 3?
3. If 𝑎 = 3 and 𝑏 = −6, what is the value of
2𝑎2
𝑏 − 5𝑎𝑏 + 9?

20. Evaluating Algebraic Expressions
There are at least two steps involved in evaluating
algebraic expression:
1. Replacing the variable by the given value
(substitution);
2. Performing the indicated arithmetic following
the order of operations.

21. 𝒌 + 𝟗
a. 𝑘 = 𝟓 𝑘 + 9
Substitute 5 for 𝑘.
= 𝟓 + 9
Add.
= 14
Example 1: Evaluate the given algebraic expression.

22. 𝒌 + 𝟗
b. 𝑘 = −𝟐 𝑘 + 9
Substitute −2 for 𝑘.
= −𝟐 + 9
Add.
= 7
Example 1: Evaluate the given algebraic expression.

23. 𝟑𝒂 + 𝒃
𝑎 = 𝟓 𝑏 = 𝟒
3𝑎 + 𝑏
Substitute 5 for 𝑎 and 4 for 𝑏.
= 3(𝟓) + 𝟒
Simplify.
= 15 + 4
= 19
Example 2: Evaluate the given algebraic expression.

24. 𝟓𝒙𝟐
+ 𝟏
𝑥 = 3
5𝑥2
+ 1
= 5(3)2
+ 1
= 5 9 + 1
= 45 + 1
= 46
Example 3: Evaluate the given algebraic expression.

25. 𝟐𝒙𝟐
𝒚
𝒙 − 𝒚
𝑥 = 4 ; 𝑦 = 1
2𝑥2𝑦
𝑥−𝑦
=
2 4 2(1)
4−1
=
2(16)(1)
4−1
=
32
3
Example 4: Evaluate the given algebraic expression.

26. REAL-LIFE MATHEMATICS
DIRECTION: Use the replacement values provided to determine the cost of each
scenario.
Cactus and Succulent
No. of Cactus (c)
and succulent (s)
50c+30s Total
3 cacti and 2 succulents
4 cacti and 5 succulents
2 cacti and 6 succulents
Is Php300 enough to pay for 2 cacti and 7 succulents? Yes / No

27. REAL-LIFE MATHEMATICS
DIRECTION: Use the replacement values provided to determine the cost of each
scenario.
Movies
No. of tickets (t) and
popcorn (p)
200t + 100p Total
5 tickets and 3 containers
of popcorn
4 tickets and 4 containers
of popcorn
Is Php1,000 enough to pay for 4 tickets and 2
containers of popcorn?
Yes / No

28. NOTES
ALGEBRAIC EXPRESSION
An algebraic expression may contain
_______________ , _______________ , and one or more
_______________ .
Examples: 2𝑥 + 7
−𝑥𝑦 + 5𝑧
5𝑚2
− 3𝑚 + 1
constants operations
variables

29. NOTES
CONSTANT
A constant is a _______________ . Its value is always
the _______________ .
VARIABLE
A variable is a _______________ that stands for a
_______________ .
number
same
letter
number

30. NOTES
EVALUATING ALGEBRAIC EXPRESSION
is ___________________ a certain number for that
_________________ and performs using the order of
the arithmetic ________________.
substituting
variable
operations

31. Evaluating
Algebraic
Expressions
MATHEMATICS 7
Quarter 2 Week 4
SIR CJ LUNA