50+ Algebra worksheets for 5th Grade on Quizizz | Free & Printable - Free Printable

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

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Problem 1: Simplify this expression: 4y + 3y + 2y

We are adding terms that all have the same variable “y”. So we just add the numbers in front:

4 + 3 = 7
7 + 2 = 9

So, 4y + 3y + 2y = 9y

✔ Final Answer for #1: B) 9y

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Problem 2: If y=4 what does 3y + 7 equal?

Substitute y with 4:

3 × 4 = 12
12 + 7 = 19

✔ Final Answer for #2: 19

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Problem 3: If m + 17 = 35 what is the value of m?

To find m, subtract 17 from both sides:

m = 35 - 17
m = 18

✔ Final Answer for #3: 18

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Problem 4: Simplify this expression: 8y - y + 4y

Again, all terms have “y”, so combine the coefficients:

8 - 1 = 7
7 + 4 = 11

So, 8y - y + 4y = 11y

✔ Final Answer for #4: A) 11y

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Problem 5: What is the purpose of a letter in a math problem?

In algebra, letters (like x, y, m) stand for numbers we don’t know yet — they’re called variables.

So the correct answer is: To represent an unknown number.

✔ Final Answer for #5: C) To represent an unknown number.

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Problem 6: If 8y + 6 = 22, is y=5 a possible solution? Yes or No

Plug in y = 5:

8 × 5 = 40
40 + 6 = 46 → which is NOT 22

So, no, y=5 is not a solution.

✔ Final Answer for #6: No

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Problem 7: Simplify this expression: 3x + 2x + 4x - 5x

Add and subtract the coefficients:

3 + 2 = 5
5 + 4 = 9
9 - 5 = 4

So, 3x + 2x + 4x - 5x = 4x

✔ Final Answer for #7: B) 4x

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Problem 8: If y - 6 - 3 = 1, is 10 a possible solution for y? Yes or No

First, simplify left side: y - 6 - 3 = y - 9

So equation becomes: y - 9 = 1

Add 9 to both sides: y = 10

Yes! y = 10 works.

Check: 10 - 6 - 3 = 4 - 3 = 1 ✔

✔ Final Answer for #8: Yes

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Final Answer:
1. B) 9y
2. 19
3. 18
4. A) 11y
5. C) To represent an unknown number.
6. No
7. B) 4x
8. Yes