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Comprehensive algebra worksheet featuring five sections of problems designed to help students master the skill of combining like terms.

Worksheet for simplifying algebraic expressions by combining like terms across five sections.

Worksheet for simplifying algebraic expressions by combining like terms across five sections.

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Show Answer Key & Explanations Step-by-step solution for: Simplifying Expressions by Combining Like Terms Worksheet ...
Section A
1) 4x + 7
2) 7a + 14
3) 9 + 9y
4) 14d + 8
5) 5h + 16g
6) 7x + 14
7) 14 + 9r
8) 8y + 10
9) 8u + 6v
10) 10i + 7f
11) 7c + 3d + e
12) 10 + 5x + 7y
13) 23v + 2 + 8q
14) 4p + 3s + 9
15) 15n + 5k + 3m

Section B
1) -4x
2) -2a
3) -y
4) -d
5) 2g
6) x
7) r
8) -8y
9) 3v
10) -c
11) -4x
12) 0
13) -3p
14) 2k

Section C
1) 5x + 3
2) 2a + 3
3) 8 + 5y
4) 5d + 9
5) 10h - 2g
6) -3x - 3
7) -2r - 4
8) 6y + 12
9) 6u + 11v
10) 8i + 6f
11) 3c + 7d
12) 12x - 2
13) -2v + 10
14) -3p + 6s
15) -n + 5k
16) 9x - 4y
17) 9p - 2s
18) -4z + 17s
19) 3a + 12b
20) 10p + 5s
21) -2j + 18s

Section D
1) -2x + 2y
2) 11a - 10b
3) v - w
4) 3d + 3e
5) -4g + 11h
6) 6x + 8
7) -r + 10
8) 9y - 8z
9) -2u
10) -2i - f
11) 6t - 5s
12) 2x + 11
13) -5v + 2 + 8q
14) -11c - 6d + 11e
15) -n - 7k + 3m
16) -4x - 17y + 7z
17) 8p - 2s + 5r - r
18) 5z + s + t
19) 2a - c - 10b + b - 3c
20) 6p + s
21) 2j - 2s - 16

Section E
1) 4xy
2) 6ab
3) 4st
4) 2cd + 7c
5) 3y²
6) -b²
7) 13u³
8) 2xy²
9) 6xy²
10) 4gh + 3h²
11) u² - u
12) 3ab² - 6a²b
Parent Tip: Review the logic above to help your child master the concept of simplifying expressions by combining like terms worksheet.
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