This document provides examples of translating phrases involving algebraic expressions into mathematical equations. It also gives examples of writing equations to represent real-world situations involving quantities and variables. Some key points: - Phrases like "six more than twice a number" can be written as algebraic expressions like "2n + 6". - Variables (like m, n) can represent unknown quantities in equations. - Equations can be set up and solved to find missing values or quantities based on real world word problems and relationships between variables.

1. Representing
Quantities in
Real-life
Situations Using
Algebraic
Equations

2. Translate the following mathematical phrases into
mathematical expressions.
1. Six more than twice a number
2. The sum of a number and eight
divided by two
3. Eighteen less than half a number
4. Twice a number plus five
5. The difference of five and two
multiplied by five
= 2n + 6
= n + 8 ÷ 2
= n/2 - 18
= 2n + 5
= 5 - 2 x 5

3. What can you see in
the picture?
What are the fruits that
you can see in the
picture?
Do you love to eat
fruits? Why?
Why do we need to
eat fruits?

4. Izah went to the supermarket to buy some
fruits. She bought 5 star apples for PhP5.00
each and 3 pomelo for PhP50.00 each. She
gave the cashier a PhP200.00 bill.
Write an expression for the total cost of the
fruits she bought and an equation for the
amount of change the cashier should gave her.

5. A variable is any letter or symbol that
represents a number.
Let m be the price of star apple which is
PhP5.00
n be the price of pomelo which is PhpP50.00
p be the amount of change

10. Read each statement and answer what
is asked for.
1. Jaden is X years old now. Write an algebraic
equation for Jaden’s age if his age 5 years from
now is 17.
2. Matthew bought 5 pencils and 8 notebooks. A
notebook costs PhP10.00 more than a pencil. The
total amount of the school supplies bought is
PhP210.00. Write an algebraic equation for the
total amount of school supplies bought.
X + 5 = 17
5m + 8 (m+10) = P21

11. What is an algebraic equation?
What common words does “=“ can be translated
for?
An Algebraic Equation is a mathematical
with an equal sign (=) which shows that
expressions on either side are equal.
Common words translated as “=“ are equals,
is, are, were, was, is equal to and result is.
Variable is any letter or symbol that represents
a number.
What is variable?

12. What is an algebraic equation?
What common words does “=“ can be translated
for?
An Algebraic Equation is a mathematical
with an equal sign (=) which shows that
expressions on either side are equal.
Common words translated as “=“ are equals,
is, are, were, was, is equal to and result is.
Variable is any letter or symbol that represents
a number.
What is variable?

13. Solve each problem.
1. Write an algebraic equation for the cost of 21
liters of gasoline, If X pesos per liter is
PhP2 092.00.
21X=P2092.00

14. Solve each problem.
2. Romar is twice as old as Mavic. Jaypee is 2
years older than Romar. Write an algebraic
equation showing that twice the sum of Romar
and Mavic ages will result to Jaypee’s age.
Let m be the age of Mavic
Mavic = m
Romar = 2m
Jaypee = 2m + 2
2(m+2m)=2m+2

15. Translate the following sentences to
algebraic equations.
1. Twice a number is equal to six.
2. If three times a number is
decreased by two, the answer is
seven.
3. The ratio of a number and ten is
two.
4. Half of the sum of a number and
Assignment

16. 1. 2n = 6
2. 3n – 2 = 7
3. n/10 = 2
4. ½ (n+3) = 6
5. 7 – n + 6n

17. Solving Routine and
Non-Routine Problems
Involving Different
Types of Numerical
Expressions and
Equations

18. If we let x be the unknown number, how
can these sentences be translated into
mathematical equations? What is the
value of x?

36. Solve for the value of the unknown variable.
1. N + 5 = -5
2. 5y - 2 = 18
3. C + 18 = 29
-10
4
11

39. Solve for the value of each missing number.
1. 3x = 15
2. 2n + 5 = 11
3. n + 2 = 7
4. 2x + 2 = 22