Let’s go through each problem one by one, step by step.
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Problem 1: Simplify the expression: 3x + 2x
We are adding two terms that both have “x”. So we just add the numbers in front:
3x + 2x = (3 + 2)x =
5x
✔ Correct answer:
A. 5x
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Problem 2: Simplify the expression: 7v + 2 + 12 + 2v
First, group like terms:
- Terms with “v”: 7v and 2v → 7v + 2v = 9v
- Constant numbers: 2 + 12 = 14
So together:
9v + 14
✔ Correct answer:
B. 9v + 14
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Problem 3: Combine like terms: 3x + 2x + 3y - 7y
Group x terms: 3x + 2x = 5x
Group y terms: 3y - 7y = -4y
So result:
5x - 4y
✔ Correct answer:
A. 5x - 4y
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Problem 4: Combine like terms: 3x + 2x + 3y - 7y
Wait — this is exactly the same as Problem 3!
Same steps:
3x + 2x = 5x
3y - 7y = -4y
Result:
5x - 4y
But looking at the options for Problem 4:
A. 5x - 4y ← matches
B. 5x + 10y
C. 5x -10y
D. 5x + 4y
✔ Correct answer:
A. 5x - 4y
*(Note: It seems like a duplicate question — but we solve it the same way.)*
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Problem 5: 3b + b - 2b
Remember: “b” means “1b”
So: 3b + 1b - 2b = (3 + 1 - 2)b =
2b
✔ Correct answer:
B. 2b
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Problem 6: Simplify: 4x² - 3x + 11 - 2x
Group like terms:
- Only one x² term: 4x²
- x terms: -3x - 2x = -5x
- Constant: +11
So:
4x² - 5x + 11
✔ Correct answer:
D. 4x² - 5x + 11
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Final Answer:
1. A
2. B
3. A
4. A
5. B
6. D
Parent Tip: Review the logic above to help your child master the concept of printable algebra 1 worksheet.
