Pre-Algebra:
Collecting Like
Terms
Created by:
John S. Pitonyak
1
Collecting Like Terms
Name:
Date:
Period:
Directions: In #s 1-12, simplify each expression.
1) 5x − 3x
2) 12y +8y
3) 6k − 2k
4) 9u −11u
5) −13y −11y
6) 24w − 9w
7) a + a + a + b + b
8) 9y + 3y − 4z + 2z
9) −3d + 5q − 4q +11d
10) 18y −12x −11y + 7
11) −a + 4b − 6c − 33b − 9
12) −52m + 7n + 6mn −14mn − 2n
© John S. Pitonyak,
2018
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Collecting Like Terms
Directions: In #s 13-16, find the perimeter of each shape. Express your
answer in simplest form.
13)
14)
x+2
3x − 5
2y
y +10
3x − 5
y +10
x+2
2y + 6
2y + 7
15)
16)
2y
2y
7y − 2
4y − 5
7x −15
8x −15
4y + 8
4x − 5
© John S. Pitonyak,
2018
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2
Collecting Like Terms -- ANSWER KEY
Name:
Date:
Period:
Directions: In #s 1-12, simplify each expression.
1) 5x − 3x
2) 12y +8y
2x
20y
3) 6k − 2k
4) 9u −11u
4k
5) −13y −11y
–24y
7) a + a + a + b + b
3a + 2b
9) −3d + 5q − 4q +11d
–2u
6) 24w − 9w
15w
8) 9y + 3y − 4z + 2z
12y – 2z
10) 18y −12x −11y + 7
8d + q
–12x + 7y + 7
11) −a + 4b − 6c − 33b − 9
12) −52m + 7n + 6mn −14mn − 2n
–a – 29b – 6c – 9
© John S. Pitonyak,
2018
– 52m + 5n – 8mn
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Collecting Like Terms -- ANSWER KEY
Directions: In #s 13-16, find the perimeter of each shape. Express your
answer in simplest form.
13)
14)
x+2
3x − 5
2y
y +10
3x − 5
y +10
x+2
2y + 6
P = 8x – 6 units
P = 6y + 26 units
2y + 7
15)
16)
2y
2y
7y − 2
4y − 5
7x −15
8x −15
4y + 8
4x − 5
P = 21y + 8 units
© John S. Pitonyak,
2018
P = 19x – 35 units
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Credits
Thank you so much to the following for the use of their
images:
Laura Strickland at: Whimsy Clips
and
The Rusty Owl
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© John S. Pitonyak,
2018
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