50+ algebra worksheets for 9th Grade on Quizizz | Free & Printable - Free Printable

Let’s go through each question one by one and solve them carefully.

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Question 1:
*What is the algebraic expression for the phrase "5 more than 3 times a number?"*

- “A number” → let’s call it x (or any variable, but in the options they use x)
- “3 times a number” → 3x
- “5 more than” that → add 5 → 3x + 5 or 5 + 3x (same thing)

Looking at the choices:
- A: 3 + n + 5 → too many terms, wrong structure
- B: 5 + 3 x 10 → has a specific number (10), not a variable
- C: 8 → just a number, no variable
- D: 5 + 3x → matches!

✔ Correct answer: D

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Question 2:
*What is the algebraic expression for "a number tripled is equal to 18?"*

- “A number” → let’s say n
- “Tripled” → multiplied by 3 → 3n
- “Is equal to 18” → = 18

So: 3n = 18

Choices:
- A: 3n = 18 → perfect match
- B: 18 + 3 = n → doesn’t match the meaning
- C: 6 → just a number
- D: 3 x 6 = 18 → uses numbers, not a variable

✔ Correct answer: A

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Question 3:
*What is the algebraic expression for "Twice x, decreased by 9?"*

- “Twice x” → 2x
- “Decreased by 9” → subtract 9 → 2x - 9

Choices:
- A: 2 + x - 9 → wrong operation
- B: 2x - 9 → correct!
- C: 9 - 2x → reversed order
- D: 2x / 9 → division, not subtraction

✔ Correct answer: B

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Question 4:
*What is the expression for this word problem: six feet less than the width (use w for width).*

- “Width” → w
- “Six feet less than” → subtract 6 from w → w - 6

Note: “Less than” reverses the order — it’s NOT 6 - w.

Choices:
- A: 6 / w → division
- B: 6 - w → wrong order
- C: w - 6 → correct!
- D: w / 6 → division

✔ Correct answer: C

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Question 5:
*Simplify this expression (combine like terms): x + x + x + x*

- You have four x’s added together → 4x

Choices:
- A: x+4 → adds 4, not multiplying
- B: 4x → correct!
- C: 4 - x → subtraction
- D: x → only one x

✔ Correct answer: B

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Question 6:
*Simplify this expression (combine like terms): 3x + 3 - 1*

- Combine constants: 3 - 1 = 2
- So: 3x + 2

Choices:
- A: 3x + 4 → wrong constant
- B: 3x + 2 → correct!
- C: 5x → combined x and constants incorrectly
- D: x - 1 → completely wrong

✔ Correct answer: B

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Final Answers:

1. D
2. A
3. B
4. C
5. B
6. B