TRANSLATING
EQUATIONS TO
SENTENCES
AND VICEVERSA
17? + 5 = 22
19 = 31
? – 12
7 + 2 = 3 + ?6
• Drill: Identify the
number that should be
in place of the
question mark the
mathematical
statement correct
1. FIVE TIMES THE SUM OF A AND B
5 ( a +b )
2. twelve decreased by twice x
12 -2x
3. the ratio of 11 and thrice p
11 ÷ 3p
Translate the following word phrases
to algebraic expressions.
3
EQUATION
4
a mathematical sentence
with an equal sign (=) which
shows that two expressions
or both sides are equal.
COMMON WORDS TRANSLATED
AS =
equal or equals
is/are
is equal to
result is
yields
5
TRANSLATE THE FOLLOWING INTO ALGEBRAIC EQUATION.
6
1. The sum of a number and five is twelve.
N + 5= 12
2. Twice a number decreased by six is equal to
sixteen.
2N – 6= 16
TRANSLATE THE FOLLOWING INTO ALGEBRAIC EQUATION.
3. If nine is added to the difference of a number and
nineteen, the sum is ninety.
9 + ( N -19)= 90
4. Twice the sum of a number and two is twenty-two.
2 ( A +2) = 22
7
TRANSLATE EACH ALGEBRAIC EQUATION INTO WORDS
½ x + 3 = 18
One half x plus three is eighteen
2/3 (m + 3) = 6
Two- thirds of the sum of m plus 3 is 6
8
TRANSLATE EACH ALGEBRAIC EQUATION INTO WORDS
3k + 7 = 34
Thrice K plus seven equals thirty-four
2n – 13 = 9
Twice a number N diminished by 13 yields
nine.
9
10
TRANSLATE EACH ALGEBRAIC EQUATION INTO SENTENCE
A ÷ 3s = 18
5 (b+28) = 150
11
Direction: Choose the letter of the correct answer.
12
WHICH OF THE FOLLOWING IS AN EQUATION
THAT CAN BE USED TO REPRESENT THE
STATEMENT "5 LESS THAN A NUMBER X IS
EQUAL TO 7"?
A) X + 5 = 7
B) 5 - X = 7
C) X - 5 = 7
D) 5 + X = 7
2. WHICH OF THE FOLLOWING EQUATIONS CAN BE USED
TO REPRESENT THE STATEMENT "ONE-THIRD OF A
NUMBER Y DECREASED BY 8 IS EQUAL TO 10"?
a) 1/3y - 8 = 10
b) 8 - y/3 = 10
c) 10y/3 - 8 = 1
d) y/3 - 10 = 8
13
3.CONSIDER THE FOLLOWING VERBAL EQUATION:
"THE SUM OF TWICE A NUMBER Z AND 3 IS EQUAL
TO 13". WHICH OF THE FOLLOWING IS A CORRECT
ALGEBRAIC EQUATION THAT REPRESENTS THIS
VERBAL EQUATION?
a) 2z + 13 = 3
b) 3z + 2 = 13
c) 2z + 3 = 13
d) 2z + 3 = 10
14