Chapter 4 Algebra Worksheet Page 17
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501 9 2
C H A P T E R 4 : A L G E B R A
4
Simplify each expression.
a
5x + 4x
b
8y − 3y
c
6mn + 9mn
10kp − 2kp
3a − 7a
xy + 4
d
e
f
3c + c
5g − g
2xy + 4y
g
h
i
j
6ab − ab
k
m − 8m
l
3abc − 4abc
EXAMPLE 4C-2
Simplifying expressions with more than two terms
Simplify:
4ab + 5ab − 2ab
3xy + 4yx + xy
2m + 3n + 4m + 5mn
a
b
c
THINK
WRITE
a
All three terms are like terms as they have exactly the same
a
4ab + 5ab − 2ab
pronumerals, so the expression can be simplifi ed.
= 9ab − 2ab
= 7ab
All three terms are like terms as they have exactly the same
3xy + 4yx + xy
b
b
pronumerals, even though the order of the pronumerals
= 7xy + xy
is different in 4yx. Simplify by adding the terms.
= 8xy
Remember that xy is the same as 1xy.
Identify any like terms (2m and 4m) and group them
2m + 3n + 4m + 5mn
c
c
together. Simplify the expression by adding the like terms.
= 2m + 4m + 3n + 5mn
= 6m + 3n + 5mn
Simplify:
5
2k + 7k + 6k
3ab + 5ab − 2ab
a
b
c
8x + 4x + 3y
d
4m + 3n + 9m
e
8d − 6d + 1
f
3x + 2xy + 4yx
g
2x + 3y + 8y + 9x
h
a + 7 + a + 2
5rst + 2rst − 7rst
3dy + 5y + yd + 8
i
j
4gh + 3hg − 6gh
a + 2ab + 3b + 5a
k
l
2
Which expression (A, B,
or D) is the same as 7a
6
C
b?
A
7 × a × b
B
7 + a + a + b
C
7 × a × a × b
D
7 × a × b × b
7
Answer true or false to each statement. For false statements, provide your reasoning.
2
2
2
a
2a
and 7a
are like terms
b
8b and b
are like terms
2
2
2
3a
b and 5a
b are like terms
4ab and 6a
b are like terms
c
d
2
2
2
2
−2a
and −7a
b are like terms
and 2ab
are like terms
e
f
ab
2
2
2
2
g
8a
bc and −a
bd are like terms
h
5ab
and −9a
b are like terms
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