Evaluating Algebraic Expression Worksheets - Free Printable

Let’s go through each expression one by one and collect the like terms.
Like terms are terms that have the same letter (variable). For example, 2x and 7x are like terms — you can add them together. But 2x and 6y are not like terms — you leave them separate.

We’ll simplify each:

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a) 2x + 6y + 7x

Group x terms: 2x + 7x = 9x
Leave y term as is: +6y
→ 9x + 6y

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b) 3a + 8b + 5a

Group a terms: 3a + 5a = 8a
Leave b term: +8b
→ 8a + 8b

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c) 6u + 3v – 2u

Group u terms: 6u – 2u = 4u
Leave v term: +3v
→ 4u + 3v

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d) 9p + 8q – p

Note: “– p” means “–1p”
So: 9p – 1p = 8p
Leave q term: +8q
→ 8p + 8q

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e) 2m + 5n + 4m + 3n

Group m terms: 2m + 4m = 6m
Group n terms: 5n + 3n = 8n
→ 6m + 8n

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f) 6u + 9v + u + 3v

“u” is same as “1u”, so: 6u + 1u = 7u
v terms: 9v + 3v = 12v
→ 7u + 12v

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g) 8b + 7c + 3b – 2c

b terms: 8b + 3b = 11b
c terms: 7c – 2c = 5c
→ 11b + 5c

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h) a + 2b + a – b

a terms: a + a = 2a
b terms: 2b – b = 1b → just write as “b”
→ 2a + b

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i) 5a + 2b – 5a + 6b

a terms: 5a – 5a = 0 → they cancel out!
b terms: 2b + 6b = 8b
→ 8b

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j) 9p + 3q – 2p – 3q

p terms: 9p – 2p = 7p
q terms: 3q – 3q = 0 → they cancel out!
→ 7p

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Final Answer:
a) 9x + 6y
b) 8a + 8b
c) 4u + 3v
d) 8p + 8q
e) 6m + 8n
f) 7u + 12v
g) 11b + 5c
h) 2a + b
i) 8b
j) 7p