Algebra 1 quiz featuring 20 multiple-choice questions covering topics like simplifying expressions, solving equations, and percentage calculations.

Let’s solve each problem one by one, step by step.

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Problem 1: 3 + 2³ - 8

First, calculate the exponent:
2³ = 2 × 2 × 2 = 8

Now plug that back in:
3 + 8 - 8

Add and subtract left to right:
3 + 8 = 11
11 - 8 = 3

✔ Final Answer for #1: D) 3

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Problem 2: 6x - 2 - 7x + 4 - x

Combine like terms (all the x terms together, then constants):

x terms: 6x - 7x - x = (6 - 7 - 1)x = (-2)x = -2x
Constants: -2 + 4 = 2

So the expression simplifies to:
-2x + 2

✔ Final Answer for #2: A) -2x + 2

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Problem 3: -3(x - 3) + 6(x + 1)

Use distributive property first:

-3(x - 3) = -3·x + (-3)·(-3) = -3x + 9
6(x + 1) = 6·x + 6·1 = 6x + 6

Now combine them:
-3x + 9 + 6x + 6

Group x terms: -3x + 6x = 3x
Constants: 9 + 6 = 15

Result: 3x + 15

✔ Final Answer for #3: D) 3x + 15

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Problem 4: 4a + 8 = -20

We need to solve for a.

Subtract 8 from both sides:
4a = -20 - 8
4a = -28

Divide both sides by 4:
a = -28 ÷ 4 = -7

✔ Final Answer for #4: B) -7

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Problem 5: -5x - 10 < -30

Solve the inequality.

Add 10 to both sides:
-5x < -30 + 10
-5x < -20

Now divide both sides by -5.
⚠️ IMPORTANT: When you divide or multiply an inequality by a negative number, flip the inequality sign!

So:
x > (-20)/(-5) → x > 4

✔ Final Answer for #5: A) x > 4

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Problem 6: 8(x - 1) = 4(x + 4) - 2x

Expand both sides:

Left side: 8(x - 1) = 8x - 8
Right side: 4(x + 4) - 2x = 4x + 16 - 2x = (4x - 2x) + 16 = 2x + 16

Now equation is:
8x - 8 = 2x + 16

Subtract 2x from both sides:
6x - 8 = 16

Add 8 to both sides:
6x = 24

Divide by 6:
x = 4

✔ Final Answer for #6: B) 4

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Problem 7: What is 16% of 34?

Convert percent to decimal: 16% = 0.16

Multiply: 0.16 × 34

Break it down:
0.16 × 30 = 4.8
0.16 × 4 = 0.64
Total = 4.8 + 0.64 = 5.44

But wait — looking at the image, this question doesn’t have answer choices shown. Since we’re only solving what’s visible and multiple choice options are missing for #7, we’ll note the correct value but can’t match to A/B/C/D.

However, since the user asked to solve the problems accurately and provide final answers where possible, and since #7 has no options listed in the image, we will skip selecting a letter for #7 unless instructed otherwise.

But let’s double-check: maybe the original quiz had options? In the image provided, question 7 ends with “What is 16% of 34?” and no options follow — so perhaps it’s incomplete. We’ll assume it’s meant to be solved numerically.

Final numerical answer: 5.44

But since all other questions are multiple choice and this one isn't showing options, and our task is to pick from given letters... we might leave it out or flag it. However, re-examining the image — actually, in the original upload, question 7 does NOT have any answer boxes below it — unlike questions 1–6 which clearly show A/B/C/D.

Therefore, strictly speaking, based on the image, only questions 1–6 have selectable answers. Question 7 appears incomplete.

But since the instruction says “solve the problem accurately”, and if we must give a final answer for #7 as well, here it is:

16% of 34 = 0.16 × 34 = 5.44

If forced to choose among typical distractors, sometimes they round or use fractions — but without options, we can’t assign a letter.

Given the context, I think the intent was to include all 7, so perhaps there was a formatting error. Let me recalculate just in case:

Alternative way:
10% of 34 = 3.4
5% of 34 = 1.7
1% of 34 = 0.34 → so 16% = 10% + 5% + 1% = 3.4 + 1.7 + 0.34 = 5.44 ✔️

Still 5.44.

Since no options are visible for #7, and the rest are clear, I will list answers for 1–6 as per their letters, and for #7 state the numeric result.

But again — the user may expect only the multiple-choice ones. Looking back at the initial request: “Solve the problem accurately.” And the image shows 7 questions, but only 1–6 have answer grids.

To stay faithful to the format, I’ll provide final answers for 1–6 as letters, and for #7, since no options exist in the image, I won’t force a letter.

Wait — actually, reviewing the very top of the image: it says “Algebra 1, 20 Questions” — so likely more pages exist, but we only see up to Q7. So for now, we solve what’s visible.

In summary:

Final Answers:

1. D
2. A
3. D
4. B
5. A
6. B
7. 5.44 (no option shown)

But since the system expects us to output final answers matching the structure, and assuming that for #7, even though not displayed, perhaps standard options were intended — but since they aren’t there, better to omit or clarify.

Actually, let me check once more — in the user's uploaded image description, question 7 is written as:

> 7. What is 16% of 34?

And nothing else. No A/B/C/D under it. Whereas every prior question has four labeled boxes.

Thus, for consistency with the format requested (“provide only the final correct answer”), and since #7 lacks options, I will not assign a letter to it. But if required to give a boxed answer, it would be 5.44.

However, considering pedagogical norms, sometimes such quizzes expect integer approximations or specific formats — but 16% of 34 is exactly 5.44.

Perhaps the original quiz had options like:

A) 5.44
B) 5.4
C) 5.5
D) 6.0

But since they’re not visible, we cannot guess.

Best approach: Provide answers for 1–6 as letters, and for #7, state the value.

But the instructions say: “Final Answer: [Provide only the final correct answer — this should come AFTER all explanations and reasoning.]”

It doesn’t specify whether to list all or just one. Given that, and since the user uploaded a multi-question sheet, I believe they want all answered.

Looking at similar tasks, usually, when multiple questions are present, we list each final answer.

So here’s how I’ll format the Final Answer section:

Final Answer:
1. D
2. A
3. D
4. B
5. A
6. B
7. 5.44

But wait — the platform might expect single-letter responses per question. Since #7 has no letters, maybe it’s excluded? Or perhaps I missed something.

Rechecking the image text provided in the prompt:

After question 6, it says:

> 7. What is 16% of 34?

And then stops. There are no answer choices printed after it in the text representation.

Therefore, to adhere strictly to available data, I will provide final answers for questions 1 through 6 as letters, and for question 7, since no options are given, I will compute the value and present it numerically.

This ensures accuracy without guessing.

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Final Answer:
1. D
2. A
3. D
4. B
5. A
6. B
7. 5.44