DATE
NAME
P E R IOD
lntervention.
c Expressions
Partsof AlgebraicExpressions
term: a number, variable, or a product of numbers and variables; terms in an expression
are seperated by addition or subtraction signs
coefficient: the numerical part of a term that also contains a variable
constant: term without a variable
like terms: terms that contain the same variables
like terms
}/constant
Identify
expression
the terms,like
terrns, coefficients,
and constants in the
4rn - 5m * n - 7.
4m - 5m * n - 7 :4m
+ G1m) + n + G7)
Definitionof
Subtraction
propefi
tdenrity
: 4m + (-5m) + Ln + (-7)
The terms are 4m, -5m, and ln. The like terms are 4rn and -5m. The coefficients are 4, -5,
and 1. The constant is -7.
C)
c
@
o
c
(U
o-
E
o
O
I
=
I
Exercises
Identify the terrns,like
1.2+6 a *4a
terrns, coefficients, and constants in each expression.
2.m* 4 rn t 2 m* 5
3 . 3 c * 4 d -c + 2
g
oo
o
-c
F
o
c
o
o
E
(!
4 .5h
3g+29
h
5. 3w + 4u
6
6.41
5s+5s
2r
-3
(''
()
I
(!
o
o
c
o
()
o
o
o)
7. -4r
7 + 6r - s
8. -L2
8r * 81
oo
O
Chapter4
11
2z
e.+"* +b* t "
Glencoe Pre-Algebra
NAME
DATE
P E R IOD
(continued)
idivention
Simplifying AlgebraicExpressions
Simplify Algebraic Expressions Whenan algebraic
expression
hasno like terms
and no parentheses, we say that it is in simplest form.
To make it easier to simplify an algebraic expression, rewrite subtraction as addition.
Then use the Commutative Property to group like terms together.
S implify6n-
6x
5 -r* 7 .
(-5 ) + (-r) + 7
(-5) + (-1r) + 7
(-1r) + (-5) + 7
2
5 -)c + 7_ 6x+
_ 6x +
- 6x +
-5 x +
Definitionof Subtraction
ldentityProperty
CommutativeProperty
Simplify.
sir"pr;rv
sii: iiG-- ZJ,>
.
Definitionof Subtraction
- 5t + (-7s) + (-Z . -4)t
- 5t + (-7s) + 28t
- 5t + 28t + (-7s)
aat + (-7s) or 33/ 7s
DistributiveProperty
Simplify.
CommutativeProperty
Simplify.
Exercises
Y*'
Simplify each expression.
1 .9m +3 m
2.5x-x
3.8y+2y+3y
4.4+m
o
3m
o
a
(o
5
@
5. L}a+ 7a+ 2a
6 . 3 y+ 1 + 5 + 4y
7.8d
4- d+ b
8. 10
4s+2s
o
3
=
o
o
o
o
o
9 . - L 1 e +7
5e 9
10. -8 (r+ 6 )
r +1
11. - I2c+3
o
s€
g)
9( 11- c )
I
o-
12. 4.3x 8.1 + 0.2x L7.5 13. -7.6
9y
6.5 + 4.7y
14. -0.39
4.2 + 6.19 0.9
U,
o
=
o
J
<-
15.
1,
;<p
10) + LBp 7
16. (a + L2)* - 5a + 11
17. -6h
o
5+
IQ4h
12)
o
o
g)
€
I
T
18. 7h
8(25
3h)
19. -Gn + 3@p + 2n)
20. (-2f * e)5
o
o
3
Lzf
Eg,
o
@
f
o
\*-
Chapter4
I
12
Glencoe Pre-Algebra