Ch 2.1Translating Equations

Objective:

To translate English sentences into mathematical equations and inequalities.

Key Words

+ _ × ÷plusadd

increased bysum

more than

minussubtract

decreased bydiminished by

less than

differenceless

total

product

oftwice ( 2)×

timesmultiply

dividequotient

per

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!

5 more than x x + 5

5 is more than x 5 > x

5 is less than x 5 < x

5 less than x x - 5

5 less x 5 - x

The keyword(s) determine which math symbol to use

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 theproduct of 10 and m.

4) Five less than x is less than five less x.

=

>

<

=

192(4 + y) - 8

x + 6 2(x - 7)

(m ÷ 3) (10 m) - 6

x - 5 5 - x

Examples

Translate each sentence into a mathematical equation or inequality.

Classwork

1)

2)

3)

4)

The quotient of n and 5 is equal to 35.

The difference of a number and 11 is 15.

The product of a number and 10 is equal to 19.

The sum of a number and 12 is 40.

Translate each sentence into a mathematical equation or inequality.

Classwork

5)

6)

7)

8)

The sum of x and 9 is more than 42.

y increased by 11 is less than 5.

7 more than a number is more than 6.

Twice a number is less than 30.

Translate each sentence into a mathematical equation or inequality.

Classwork

9)

10)

6 more than x is less than or equal to the difference of x and 7.

Twice the sum of n and 8 is more than 5 times the quotient of n and 20.