Writing Algebraic Expressions Worksheets - Math Monks - Free Printable

Let’s go step by step to match each expression on the left with its equivalent on the right.

We’ll simplify each expression on the left (1–10) and see which one matches the options on the right (a–j).

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1) 2(7n)
Multiply: 2 × 7n = 14n → matches g)

2) 6(2x - 7)
Distribute: 6×2x = 12x, 6×(-7) = -42 → 12x - 42 → matches i)

3) (x + 7) - 2
Simplify: x + 7 - 2 = x + 5 → matches h)

4) 7x² - 2x + 5 - x
Combine like terms: -2x - x = -3x → 7x² - 3x + 5 or written as -3x + 5 + 7x² → matches f)

5) 9x + 7 - 2 + x
Combine like terms: 9x + x = 10x; 7 - 2 = 5 → 10x + 5 → matches b)

6) 10x - 4x + 2 - x
Combine like terms: 10x - 4x - x = 5x; +2 → 5x + 2 → matches c)

7) 20 - 3x - 7 - 3x
Combine constants: 20 - 7 = 13; combine x terms: -3x -3x = -6x → -6x + 13 → matches a)

8) 4(x + 12)
Distribute: 4×x = 4x, 4×12 = 48 → 4x + 48 → matches j)

9) 3x + 4 - 2 - 2x
Combine like terms: 3x - 2x = x; 4 - 2 = 2 → x + 2 → matches d)

10) 12y - y + 2y - 4 - 1
Combine y terms: 12y - y + 2y = 13y; constants: -4 -1 = -5 → 13y - 5 → matches e)

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All matched correctly.

Final Answer:
1) g
2) i
3) h
4) f
5) b
6) c
7) a
8) j
9) d
10) e