1. Ch 2.1 Translating Equations
Objective:
To translate English sentences into mathematical equations and inequalities.

2. Key Words _ + plus minus times divide add subtract multiply quotient
increased by
decreased by
product
per
sum
diminished by of
total
difference
twice ( 2)
less
more than
less than
subtracted from

3. 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.

4. Read Carefully! 5 more than x x + 5 5 is more than x 5 > x 5 less x
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

5. Examples 1) Eight less than twice the sum of four and y
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) Six more than x is more than twice the
difference of x and 7.
3) The quotient of m and 3 is six less than the
product of 10 and m.
4) Five less than x is less than five less x.
2(4 + y) - 8 = 19
x + 6
>
2(x - 7)
(m ÷ 3) =
(10  m) - 6
x - 5
<
5 - x

6. Classwork 1) The quotient of n and 5 is equal to 35. 2)
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.

7. Classwork 5) The sum of x and 9 is more than 42. 6)
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.

8. 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.