This document discusses translating word phrases into algebraic expressions and equations. It provides examples of common words and phrases used in algebra and their corresponding symbols, such as "plus" and "+" for addition. The document also includes practice problems where readers are asked to translate phrases like "twelve more than a number" into the algebraic expression "12 + x". It emphasizes the importance of understanding the terms associated with operations in order to accurately translate word problems into math.

1. Gives the translation of real-life verbal
expressions and equations into letters or
symbols and vice versa.
M6AL-IIIe-16
Defines a variable in an algebraic expression
and equation.
M6AL-IIIe-17
Represents quantities in real-life situations
using algebraic expressions and equations.
M6AL-IIIe-18
ALGEBRAIC EXPRESSIONS

2. DRILL
The school canteen bought lots of
bibingka to serve. If you know the
total amount of money they spent
and how many bibingka they
bought, how could you figure out
the cost of 1 bibingka?

3. DRILL
Why do youbelieve that?
What is the action of this
operation?

4. What expression
describes
President
Rodrigo
Duterte?
• If we use expressions to
describe our President, we
also use expressions in
Mathematics, to describe
relationships between
numbers and the
operations being used.

5. EXPRESSION
"A math
phrase
without an
equal or
inequality
sign."
 expressions
are solved.
This lesson is
to translate
written words
to numbers,
operational
symbols, and
variables.

6. VARIABLE is a placeholder for
one or more numbers.
"Some number"
is a phrase that
indicates a variable
is needed.

7. EXAMPLE:
"some
number
increas
ed by 5"
What
action is
happening
in this
phrase?
• What
operation
indicates this
action?
x + 5

8. EXAMPLE:
51 less
than
some
numbe
r"
Whataction
is happening
in this
phrase?
• What
operation
indicates this
action?
x - 51

9. EXAMPLE:
Sum of 12 and e.
12 + e

10. You have to read very carefully using
context clues to determine what
action is required. You will need to
reread some problems in order to
focus on the needed information.

11. Group Activity:
Translate each phrase or
sentence into a
mathematical expression
or equation.
1.Twelve more than a
number.
12+x

12. Group Activity:
2. Eight minus a
number.
8−x
3. An unknown quantity
less fourteen.
X-14

13. Group Activity:
4.Six times a number
is fifty-four.
6x=54
5.Two ninths of a number
is eleven.
2/9x=11

14. Group Activity:
6.Three more than seven
times a number is nine
more than five times the
number.
3+7x=9+5x
7.Twice a number less eight is
equal to one more than three
times the number.
2x−8=3x+1 or 2x−8=1+3x

15. Translating Word Phrases into
Algebraic Expressions
To translate word phrases into algebraic
expressions, familiarity with words and
phrases associated with symbols or
operations are important.

16. Symbol KeyWords/Phrases
+ addition, plus, the sum of, more than, added to,
increased by, the totalof
- subtraction, minus, thedifference of, less than,
decreased by, diminishedby, subtracted from, less
X, *, ( ) multiplication,times, theproduct of, twice,
multipliedby, of
+, -,/ division, divided by, the quotientof, the ratio of
= is equal to, equals, is, is the same as

17. Word Phrases Algebraic Expression
mplus 3
m+ 3
Thesum of mand 3
mincreasedby 3
3 addedto m
3 morethan m

18. Word Phrases
Algebraic
Expression
nminus11
Thedifferenceofnand11
ndecreasedby11
ndiminishedby11
11lessthann
nless11
11subtractedfromn
n-11

19. Word Phrases
Algebraic
Expression
2timesw
twiceofw
wmultipliedby2
thedoubleofw
theproductof2andw
2w

20. Word Phrases
Algebraic
Expression
Xdividedby5
One-fifthofx
Thequotientofxand5
Theratioofxto5
X
5

21. Translate into Algebraic expressions or
equations