Ch 2.1
Translating Equations
Objective:
To translate English sentences into
mathematical equations and inequalities.
+
plus
add
increased by
sum
total
more than
Key Words
_


minus
times
divide
subtract
multiply
quotient
decreased by product
per
diminished by
of
difference
twice ( 2)
less
less than
subtracted from
More Key Words
Equality (=)
equals, results in, and is are some of the words
that represent equality.
Inequality (<, >, ≠,)
is less than, is greater than, and unequal to are
some of the phrases that represent inequality.
Read Carefully!
The keyword(s) determine which math symbol to use
5 more than x
x+5
5 is more than x
5>x
5 less x
5-x
5 less than x
x-5
5 is less than x
5<x
Examples
Translate each sentence into a mathematical equation or inequality.
1) Eight less than twice the sum of four and y
is the same as 19.
2(4 + y) - 8 = 19
2) Six more than x is more than twice the
difference of x and 7.
x + 6 > 2(x - 7)
3) The quotient of m and 3 is six less than the
product of 10 and m.
(m ÷ 3)= (10  m) - 6
4) Five less than x is less than five less x.
x-5 < 5-x
Classwork
Translate each sentence into a mathematical equation or inequality.
1) The quotient of n and 5 is equal to 35.
2) The difference of a number and 11 is 15.
3) The product of a number and 10 is equal to 19.
4) The sum of a number and 12 is 40.
Classwork
Translate each sentence into a mathematical equation or inequality.
5) The sum of x and 9 is more than 42.
6) y increased by 11 is less than 5.
7) 7 more than a number is more than 6.
8) Twice a number is less than 30.
Classwork
Translate each sentence into a mathematical equation or inequality.
9) 6 more than x is less than or equal to the difference
of x and 7.
10) Twice the sum of n and 8 is more than 5 times the
quotient of n and 20.