The
difference
of
m
and 5.
x decreased by
8.
4
less than a.
X subtracted from 5.
8

Writing Expressions That Indicate
Multiplication
Definition of Multiplication
x .
y
indicates the product
of
x
and
y
, or
x times y.
x . y can be written as xy or x(y) or (x)(y).
x and y
are called the
factors
of the product
xy
The multiplication operation is
commutative
and
associative
. The
order of the multiplied terms and the order in which the operations
are performed is
not important
.
It is
commutative
because (2)(3) = (3)(2) = 6
It is
associative
because ((2) (3))(4) = (2)((3)(4)) = 24
Examples: Write using symbols
The product of 5 and
a.
3 times 7.
Twice
z.
The product of 2,
s
, and
t
.
4 more than the product of 6 and
x
9

Writing Expressions That Indicate
Division
Definition of Division
means
x divided
by
y
or the
quotient
of
x
and
y.
To indicate the quotient when 9 is divided by 3, we use on of
the following:
In algebra the fraction form is usually used.
The division operation is neither
commutative
nor
associative
.
The order of the divided terms and the order in which the
operations are performed is
important
.
Examples: Write using symbols
m
divided by 3
.
The quotient of
a
plus
b
, divided by 5.
The quantity
p
plus
q
divided by the quantity
p
minus
q
.
y
x
10

Words Indication Operations
11

Expressions with More than One Operation
Examples: Write using symbols
3 times the sum of
a
and
b.
The sum of 3 times
a
and
b
.
2 times the difference of
m
and
n.
The product of
s
plus
t
and
s
minus
t.
The product of
b
and 3 less than
b.
12

Writing Geometric Expressions
Examples: Write using symbols
Length
times
width.
One-half of
altitude
times
base
.
Length
times
width
times
height.
Pi (π) times
diameter.
13

1.1.3 Translate from English to Algebra
Example: Modeling Applications with Algebra
Carla earns $10.25 per hour in her job.
Write an equation that sets her weekly gross pay equal to
an expression involving the number of hours she works per
week.
14

1.2: Evaluating Algebraic Expressions
Objectives:
1.2.1:Evaluate algebraic expressions given any
real-number value for the variable.
1.2.2: Use a graphing calculator to evaluate
algebraic expressions.
15

1.2.1: Evaluate Algebraic Expressions Given any Real-
Number Value for the Variable.
Examples
Suppose that
a =
5 and
b =
7.
1.
Find a + b
2.
Find 3ab
Suppose that a =
2,
b =
3,
c =
4, and
d =
5.
1.
Find 7a + 7b
2.
Find 3c
2
3.
Find 7(c + d)
4.
Find 5a
4
–
2d
2
16

1.2.1:Evaluate Algebraic Expressions Given any Real-
Number Value for the Variable.
Examples
Suppose that
p =
2,
q =
3, and r = 4.

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- Fall '18
- jane
- Accounting, Addition, Algebraic Expressions, Geometric Expressions