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Algebraic Expression

Lord Jesus, I ask for Your help as I begin this new school year. Allow me to experience Your presence in the many blessings You put before me. Open my eyes to the new challenges and exciting opportunities that this new school year brings. Open my heart and mind to new friends and new teachers. Give me a generous spirit to be enthusiastic with my studies and courage to accept new opportunities. Help me to be attentive to my teachers and let me experience Your presence in my new friends. Jesus, inspire me to do my best this year! Amen.

PRAYER

ATTENDANCE

Sub-topic 1:

1. What steps do you follow to evaluate an algebraic expression with given variable values?

Short Review

2. Which aspect of evaluating algebraic expressions do you find challenging?

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

Word Problems

Solve the real-life problems below.

1.A factory produces xxx items per day. The total cost to manufacture these items is given by 50x+2000. Find the total cost when 30 items are produced.

Solution:�50(30)+2000=1500+2000=3500

Word Problems

Solve the real-life problems below.

2.A car rental service charges a base fee of ₱500 plus ₱20 per kilometer traveled. If a customer drives 25 kilometers, how much will the total charge be?

Solution:

500+20(25)=500+500=1000

Fill in the Blanks

1. In an algebraic expression, a __________ represents an unknown value.

2. A __________ is a number that does not change in an expression.

3. The __________ is the numerical factor of a term that contains a variable.

4. To __________ an algebraic expression means to find its numerical value.

5. A __________ is a mathematical statement that contains an equals sign.

Variable

Constant

Coefficient

Evaluate

Equation

DAY 4

Activity:

Instructions:

Evaluate each algebraic expression by substituting the given values for the variables.

1. Evaluate the expression 2x+3 when x=4.

2. Find the value of the expression 25y−2 when y=6.

3. Determine the result of the expression 3z2+2z−1 when z=2.

4. Evaluate the expression 3a+2 when a=5.

5. Calculate the value of the expression 4b+7 when b=2.

Word Problem

6. A cleaning service charges a fixed fee of PHP 1500 for a one-time cleaning session, plus PHP 200 per hour for additional cleaning time. If the cleaning session lasts for 4 hours, what will the total cost be?

Word Problem

7. A taxi company charges PHP 50 as a base fare for a ride, plus PHP 10 for every kilometer traveled. If the ride covers a distance of 8 kilometers, what will be the total fare?

Word Problem

8. A fitness trainer charges PHP 300 per session for personal training sessions, plus an additional PHP 50 for the use of equipment. What will be the total cost if a client schedules 3 sessions and uses equipment for 2 of them?

Word Problem

9. A movie theater charges PHP 200 for a movie ticket and an additional PHP 50 for a large popcorn. What will be the total cost if a person buys 2 tickets and 1 large popcorn?

Word Problem

10. A music streaming service charges a monthly subscription fee of PHP 150 and an additional PHP 50 for a family plan upgrade. If someone subscribes to the family plan for 3 months, what will be the total cost?

What you have learned�In a one sheet of paper write something you understand about the lesson we discussed today.

(Choose the correct answer)

Multiple Choice

1.What is the value of 5x+35x + 35x+3 when x=2x = 2x=2?

a) 10

b) 11

c) 13

d) 15

2.If P=4y−6P = 4y - 6P=4y−6, what is PPP when y=5y = 5y=5?

a) 10

b) 14

c) 16

d) 20

Solve the following expressions by substituting the given values.

Solve and Evaluate

3. Evaluate 3x−2y when x=4 and y=3

Solution:

3(4)−2(3)=12−6=6

4. A store sells notebooks for ₱25 each. Write and evaluate an expression to find the total cost for 6 notebooks.

Solution:

25(6)=150

THANK YOU