Practice Problems in Algebra 1: Combining Like Terms and Distributing, Study notes of Algebra

Practice problems for algebra 1 students to practice simplifying expressions by combining like terms and distributing. It includes 26 problems that cover various levels of complexity, such as negative signs, multiple variables, and exponents. This resource can be used for self-study, homework, or exam preparation.

Typology: Study notes

2021/2022

Uploaded on 08/01/2022

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Algebra 1
ID: 1
Name___________________________________
Period____Date________________
Combining Like Terms and Distributing Practice
Simplify each expression.
1)
1
+ 3
x
− 8
2)
1
− 3
p
+ 2
p
− 9
3)
7
v
− 7
+ 7
− 8
v
4)
−10
r
+ 3
r
5)
n
2
− 3
+ 3
n
+ 2
n
2
+
n
6)
a
− 4
− 1
7)
2
a
+ 5
a
8)
b
− 4
b
9)
−4
p
+ 5
p
10)
10
x
− 3
+ 5
x
11)
8
k
2
+ 7
k
12)
−4
n
+ 4
n
13)
−7
n
+ 5
m
− 6
n
m
2
−2
m
14)
m
2
+ 7
− 4
m
2
-1-
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Algebra 1 Name___________________________________ID: 1

Combining Like Terms and Distributing Practice Date________________Period____

Simplify each expression.

  1. 1 + 3 x − 8 2) 1 − 3 p + 2 p − 9

  2. 7 v − 7 + 7 − 8 v 4) −10 r + 3 r

  3. n^2 − 3 + 3 n + 2 n^2 + n 6) a − 4 − 1

  4. 2 a + 5 a 8) − b − 4 b

  5. −4 p + 5 p 10) 10 x − 3 + 5 x

  6. 8 k^2 + 7 k 12) −4 n + 4 n

  7. −7 n + 5 m − 6 nm^2 − −2 m 14) m^2 + 7 − 4 m^2

-1-

  1. 2 p + 2 + 5 p − 4 16) 1 + 2 p − 4

  2. ( 5 x − 10) ⋅ −9 18) 4 ( 7 x − 7)

  3. −( 7 k + 7) 20) −9( x + 10)

  4. 4 b + 8 ( 1 + 2 b ) 22) −3 x + 4 ( 4 + 5 x )

  5. −7(−4 a − 6) − 3 24) 2 n − 7 ( 6 n − 1)

  6. 4 ( 1 + 5 n ) + 6 n 26) 6 + 9 ( 9 x + 9)

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