Simplifying Expressions by Identifying Like Terms
S
i
m
p
l
i
f
y
i
n
g
E
x
p
r
e
s
s
i
o
n
s
:
D
i
s
c
u
s
s
:
W
h
i
c
h
o
f
t
h
e
s
e
e
x
p
r
e
s
s
i
o
n
s
c
o
n
t
a
i
n
a
p
a
i
r
o
f
l
i
k
e
t
e
r
m
s
?
H
o
w
d
o
y
o
u
k
n
o
w
?
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
I
n
p
a
i
r
s
:
D
e
c
i
d
e
w
h
i
c
h
e
x
p
r
e
s
s
i
o
n
s
c
o
n
t
a
i
n
O
N
L
Y
l
i
k
e
t
e
r
m
s
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Your Turn: In your books copy and complete the following:
Mark
your work
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Like / Unlike
Collecting ‘like’ terms
Algebraic expressions can be simplified by
collecting like terms
"
L
i
k
e
t
e
r
m
s
"
a
r
e
t
e
r
m
s
w
h
o
s
e
v
a
r
i
a
b
l
e
s
(and their powers such as the 2 in x
2
) are the
same.
T
h
e
c
o
e
f
f
i
c
i
e
n
t
s
m
a
y
b
e
d
i
f
f
e
r
e
n
t
.
Simplify
a
a
a
a
a
a + a + a + a + a =
5a
5a
And another…
3c + 2c + c =
6c
3c
2c
c
6c
And another…
5d
4d
d
5c
4d + d + d – d =
d
-d
And another…
2e
2
e
2
3e
2
e
2
+ 2e
2
=
3e
2
And another…
3b
b
2a + 3b + 4a + b =
6a + 4b
2a
4a
2a
4a
3b
b
3b
b
2a
4a
6a + 4b
And another…
-3b
b
-2a - 3b + 4a + b =
2a – 2b
-2a
4a
O
n
y
o
u
r
w
h
i
t
e
b
o
a
r
d
s
…
Simplify the following
expressions by collecting like
terms.
4d + d + 3d
8d
5d -2d + 3d
6d
5p + 4q – 2p + q
3p + 5q
5s - t +s + t
6s
2p
2
+3p
2
– 4p
2
p
2
3pq - 4 + 5pq
8pq - 4
Worked Example
Your Turn
TITLE:
Collecting Like Terms
3p
2p
In your books, fully simplify each expression
Mark your work
Algebra Pyramids
This content discusses the concept of like terms in algebraic expressions and explains how to identify and simplify expressions by collecting like terms. It provides visual examples and prompts for practice to enhance understanding.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. Download presentation by click this link. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
E N D
Presentation Transcript
Simplifying Expressions: Discuss: Which of these expressions contain a pair of like terms? How do you know? ???+ ??? ?? + ?? ? ? + ? ?
3? + 3? Like / Unlike 3? 3? Like / Unlike 3? 2? Like / Unlike 3? 2? Like / Unlike In pairs: 5? 2? Like / Unlike Decide which expressions contain ONLY like terms 5?2 2? Like / Unlike 5?2 2?2 Like / Unlike 5?2+ 2?2 Like / Unlike 5?2+ 2?2 Like / Unlike
5?2+ 2?2 Like / Unlike 5? 2+ 2? 2 5? 2+ 2? 2 Like / Unlike Like / Unlike 5? 2+ 2? 3 Like / Unlike 5? 2+ 2? 3 ? Like / Unlike 5? 4+ 2? 4 ? 4 Like / Unlike 5? 4.7+ 2? 4.7 ? 4.7 Like / Unlike 4 7+ 2? 4 7 ? 4 7 5? Like / Unlike 4 7+ 2? 4 7 ? 4 7 Like / Unlike 5?
5 ? + 2 ? ? Like / Unlike 5 ? + 2 ? ? Like / Unlike 5? + 2 ? ? Like / Unlike 5? + 2 ? ?2 Like / Unlike
3? + 3? Like / Unlike 3? 3? Like / Unlike 3? 2? Like / Unlike 3? 2? Like / Unlike 5? 2? Like / Unlike 5?2 2? Like / Unlike 5?2 2?2 Like / Unlike 5?2+ 2?2 Like / Unlike 5?2+ 2?2 Like / Unlike
5?2+ 2?2 Like / Unlike 5? 2+ 2? 2 Like / Unlike 5? 2+ 2? 2 Like / Unlike 5? 2+ 2? 3 Like / Unlike 5? 2+ 2? 3 ? Like / Unlike 5? 4+ 2? 4 ? 4 Like / Unlike 5? 4.7+ 2? 4.7 ? 4.7 Like / Unlike 4 7+ 2? 4 7 ? 4 7 5? Like / Unlike 4 7+ 2? 4 7 ? 4 7 Like / Unlike 5?
5 ? + 2 ? ? Like / Unlike 5 ? + 2 ? ? Like / Unlike 5? + 2 ? ? Like / Unlike 5? + 2 ? ?2 Like / Unlike
Your Turn: In your books copy and complete the following: 6? + 6? Like / Unlike 13? 27? Like / Unlike 13?2 27? Like / Unlike 13?2 27? 2 Like / Unlike Like / Unlike 13 ? 27 ?
Mark your work 6? + 6? Like / Unlike 13? 27? Like / Unlike 13?2 27? Like / Unlike 13?2 27? 2 Like / Unlike Like / Unlike 13 ? 27 ?
Collecting like terms "Like terms" are terms whose variables (and their powers such as the 2 in x2) are the same. The coefficients may be different. Algebraic expressions can be simplified by collecting like terms
Simplify a + a + a + a + a = 5a a a a a a 5a
And another 3c + 2c + c = 6c 3c 2c c 6c
And another 4d + d + d d = 5d 4d d d -d 5c
And another e2 + 2e2 = 3e2 2e2 e2 3e2
And another 2a + 3b + 4a + b = 6a + 4b 2a 3b 4a b 2a 4a 3b b 3b b 2a 4a 6a + 4b
And another -2a - 3b + 4a + b = 2a 2b 4a b -2a -3b
On your whiteboards Simplify the following expressions by collecting like terms.
4d + d + 3d 8d
5d -2d + 3d 6d
5p + 4q 2p + q 3p + 5q
2p2 +3p2 4p2 p2
3pq - 4 + 5pq 8pq - 4
TITLE: Collecting Like Terms Worked Example Your Turn ????????3? + 4? + 2? ? 2p 3p 4? ? Working out: 3? + 2? = 5? 4? ? = 3? Answer: 5? + 3?
In your books, fully simplify each expression 1. ? + ? + 2? + 3? 2. 2? + 3? + ? + 8? 3. 3? + ? + 4? + 2? 4. 5? + 9? + 4? + 6? 5. ? + 8? + 2? + ? 6. 4? + ? + 3? + 2? 7. 3? + 3? + 7? 3? 8. 8? + 3? 6? + 2? 9. 2?2 ?? + 3?2 + 4?? 4?2 ?2 10. 1 2??2 2??2+3 4??2
Mark your work 1. 1. 3? + 4? 2. 2.3? + 11? 3. 3.6? + 4? 4. 4.9? + 15? 5. 5.3? + 9? 6. 6.8? + 2? 7. 7.6? + 4? 8. 2? + 5? 9. ?2+ 3?? ?2 10. ??2
