Lesson 1-6
Objective - To write algebraic expressions.
Numerical
Expression
Result
Verbal
Phrase
Add
3+ 6
sum = 9
The sum of
3 and 6 is 9.
Subtract
12 − 4
difference = 8
The difference
of 12 and 4 is 8.
Multiply
5× 4
5• 4
product = 20
The product
of 5 and 4 is 20.
Divide
16 ÷ 4
quotient = 4
The quotient
of 16 and 4 is 4.
Operation
Translate the verbal phrase into a numerical
expression and evaluate.
1) The difference of 12 and 5.
12 − 5 = 7
2) The product of 5 and 8.
+
11 + 6= 17
4) The quotient of 18 and 6.
18 ÷ 6 = 3
Write a variable expression given by the phrase.
1) The sum of a and b.
a+b
2) The product of z and b.
z•b
3) The difference of k and m.
k−m
4) The quotient of g and h.
g
h
×
÷
add
subtract
multiply
divide
plus
minus
times
quotient
sum
difference
product
increased by decreased by …of...
total
diminished by twice ( ×2 )
less
more than
less than
added to
subtracted from
Write a verbal phrase that represents each expression
below. Then evaluate the expression.
1) 12 − 8 = 4
The difference of 12 and 8.
2) 20 • 4 = 80
The product of 20 and 4.
5 • 8 = 40
3) The sum of 11and 6.
−
3)
20
=4
5
The quotient of 20 and 5.
4) 25 + 7 = 32
The sum of 25 and 7.
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
Math 6 Slide Show: Teaching Made Easy As Pi, by Mike Mills and James Wenk © 2011
Lesson 1-6 (cont.)
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) 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)
Translate the following phrases.
1) Five plus x minus 3
5+x-3
2) Three times y less 4
3y − 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
x ÷ 3 + 4 or x + 4
3
6) Six times m plus 8
6m + 8
Write a phrase that describes each variable
expression below.
1) 4 ( x + 5 ) − 2
Four times the sum of x and 5 minus 2
2) 7 − 2 ( x ÷ 3)
Seven minus twice the quotient of x and 3
3) m ÷ 9 − 4
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
Math 6 Slide Show: Teaching Made Easy As Pi, by Mike Mills and James Wenk © 2011