1-2 Writing Algebraic Expressions - Math Slide Show

Lesson 1-2
Operation
Add
Subtract
Multiply
Divide
Objective - To simplify and translate
numerical and variable expressions.
Numerical
Expression
Result
5+ 3 sum = 8
10 − 7 difference = 3
2• 8 product = 16
24 ÷ 3 quotient = 8
Verbal
Sentence
The sum of
5 and 3 is 8.
The difference
of 10 and 7 is 3.
The product
of 2 and 8 is 16.
The quotient
of 24 and 3 is 8.
Translate the verbal phrase into a numerical
expression and evaluate.
1) The difference of 8 and 1.
8− 1=
7
2) The product of 12 and 6.
12 • 6 = 72
3) The sum of 5 and 9.
5+
9= 14
4) The quotient of 12 and 3.
12 ÷ 3 = 4
Write a variable expression to represent the
following if x represents your age.
1) Your age 5 years ago.
x−
5
2) Twice your age.
2x
3) Your age in 8 years.
x + 8
4) One-fourth of your age.
1 x or
x
4 4
5) Your cousin’s age who
is half as old as you.
1 x or
x
2 2
6) Twice your age 3 years
ago
2( x − 3)
Operations
+ − × ÷
add
plus
sum
increased by
total
more than
added to
subtract
minus
difference
decreased by
diminished by
less
less than
subtracted from
multiply
times
product
…of...
twice ( ×2)
divide
quotient
Forwards 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
Backwards Words
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
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
Pre-Algebra Slide Show: Teaching Made Easy As Pi, by James Wenk © 2011

Lesson 1-2 (cont.)
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)
Match each phrase with its variable expression.
d 1) Twice the sum of x and 3 a) 2x − 3
e
b
a
c
2) Two less than the product
of 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 a
number x
b) 3( x−
2)
c) 3x + 2
d) 2 ( x +
3
)
e) 3x − 2
Pre-Algebra Slide Show: Teaching Made Easy As Pi, by James Wenk © 2011