Let’s solve each problem one by one. We’ll combine like terms — that means adding or subtracting the numbers with variables (like 5n and 2n) and then the plain numbers (like +4 and -2).
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1) 5n + 4 + 2n – 2
Combine n terms: 5n + 2n =
7n
Combine constants: 4 – 2 =
+2
→ Answer:
7n + 2 → Option
B
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2) 1 – 9v + 8 – 8v
Combine v terms: –9v – 8v =
–17v
Combine constants: 1 + 8 =
9
→ Answer:
9 – 17v → Option
B
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3) 2n – 8n
Just combine: 2n – 8n =
–6n → Option
B
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4) n – 5 + 4n + 9
Combine n terms: n + 4n =
5n
Combine constants: –5 + 9 =
+4
→ Answer:
5n + 4 → Option
B
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5) –4v – 3v
Combine: –4v – 3v =
–7v → Option
A
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6) 4k – 6k
Combine: 4k – 6k =
–2k → Option
B
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7) –2x – 3x
Combine: –2x – 3x =
–5x → Option
B
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8) 9 – 3n – 10
Combine constants: 9 – 10 =
–1
Keep the variable term: –3n
→ Answer:
–1 – 3n → Option
A
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9) 3k + 7 + 4k + 8
Combine k terms: 3k + 4k =
7k
Combine constants: 7 + 8 =
15
→ Answer:
7k + 15 → Option
B
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10) –10x + 8x
Combine: –10x + 8x =
–2x → Option
D
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Final Answer:
1) B
2) B
3) B
4) B
5) A
6) B
7) B
8) A
9) B
10) D
Parent Tip: Review the logic above to help your child master the concept of simple algebraic expressions worksheet.
