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Objective - To translate variable expressions.

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twice

add

subtract

multiply

divide

plus

minus

times

quotient

sum

difference

product

increased by

decreased by

…of...

total

diminished by

less

more than

less than

added to

subtracted from

Backwards Words

Add 3 and 7

=

3 + 7

The sum of 3 and 7

=

3 + 7

3 increased by 7

=

3 + 7

The total of 3 and 7

=

3 + 7

3 more than 7

=

7 + 3

3 added to 7

=

7 + 3

Backwards Words

7 subtract 3

=

7 - 3

The difference of 7 and 3

=

7 - 3

7 decreased by 3

=

7 - 3

7 diminished by 3

=

7 - 3

7 less 3

=

7 - 3

7 less than 3

=

3 - 7

7 subtracted from 3

=

3 - 7

Translate the following phrases.

1) Five plus x minus 3

5 + x - 3

2) Three times y less 4

3) Eight multiplied by y minus 7

8y - 7

4) The product of 10 and m decreased by 7

10m - 7

5) Four more than the quotient of x and 3

6) Six times m plus 8

6m + 8

Match each phrase with its variable expression.

d

1) Twice the sum of x and 3

e

2) Two less than the product

of 3 and x

b

3) Three times the difference

of x and 2

a

4) Twice a number x less 3

c

5) Two more than 3 times a

number x

Translate the following phrases.

1) 5 less than a number x

x - 5

2) 5 less a number x

5 - x

3) 5 less twice a number x

5 - 2x

4) 2 more than the difference of x and 5

(x - 5) + 2

5) Twice the difference of x and 5

2(x - 5)

6) Twice the sum of x and 5

2(x + 5)

Write a phrase that describes each variable

expression below.

Four times the sum of x and 5 minus 2

Seven minus twice the quotient of x and 3

The quotient of m and 9 minus 4

Define a variable to represent the unknown and

write the phrase as a variable expression.

1) 10 mph faster than the Honda

Let x = the speed of the Honda

x + 10

2) 7 inches shorter than Jill’s brother

Let b = the height of Jill’s brother

b - 7

3) 5 acres larger than twice the size of my lot

Let k = the size of my lot

2k + 5

4) $7.50 times the number of people plus a

$20 group registration

Let y = the number of people

$7.5y + $20

Problem Situation #1

A cab driver charges a surcharge of $4 plus

$1.50 per mile. Write a variable expression

that represents the total cost of the fare.

Let x = # of miles driven

4 + 1.5x

Problem Situation #2

ATI Phone Services charges a monthly fee of

$16 plus 18 cents a minute for local calls and

40 cents a minute for long distance. Write a

variable expression that describes the total

monthly bill.

Let a = # of local minutes

Let b = # of long distance minutes

16

+ 0.18a

+ 0.40b