Objective - To translate English words and phrases into mathematical symbols and expressions.

+ _ plusadd

increased bysum

more thanadded to

minussubtract

decreased bydiminished by

less thansubtracted from

differenceless

total

product…of...

twice ( 2)

timesmultiply

dividequotient

Tricky Ones!

5 plus x 5 + x

add 5 and x 5 + x

the sum of 5 and x 5 + x

5 increased by x 5 + x

5 more than x x + 5

5 added to x x + 5

Tricky Ones!

5 minus x 5 - x

5 less x 5 - x

the difference of 5 and x 5 - x

5 decreased by x 5 - x

5 less than x x - 5

5 subtracted from x x - 5

Translate each phrase into a mathematical expression.

1) 5 subtract x

2) the product of 10 and y

3) 20 decreased by a number t

4) 6 added to the product of 11 and m

5) the quotient of y and 9

6) 8 less than 7 times k

5 - x

10y

20 - t

11m + 6

y 9

7k - 8

A special word in each column refers not to the operation itself but the outcome of the operation.

+ _ plusadd

increased bysum

more thanadded to

minussubtract

decreased bydiminished by

less thansubtracted from

differenceless

total

product…of...

twice ( 2)

timesmultiply

dividequotient

Translate each phrase into a mathematical expression.

1) six less than twice a number x

2) five times the sum of y and 4

3) twice the difference of m and 3

4) the quotient of 7 and a number x less 2

5) the difference of 6 and k divided by 9

6) 4 times the sum of 12 and y

2x - 6

5(y + 4)

2(m - 3)

(6 - k) 9

7 x - 2

4(12 + y)

Match each phrase with its variable expression.

1) Twice the sum of x and 3

2) Two less than the productof 3 and x

3) Three times the difference of x and 2

4) Twice a number x less 3

5) Two more than 3 times anumber x

a

b

e

c

d a) 2x 3

b) 3 x 2

d) 2 x 3 c) 3x 2

e) 3x 2

Define a variable to represent the unknown andwrite the phrase as a variable expression.

1) 10 mph faster than the Honda

2) 7 inches shorter than Jill’s brother

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

4) $7.50 times the number of people plus a$20 group registration

Let x = the speed of the Hondax + 10

Let b = the height of Jill’s brotherb - 7

Let k = the size of my lot2k + 5

Let y = the number of people$7.5y + $20