8th Grade Math Review Worksheet featuring problems on absolute value, operations, exponents, square roots, and algebraic expressions.

Let's solve each problem step by step from the 8th-grade math worksheet:

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1. What is | -4 |?

The absolute value of a number is its distance from zero on the number line, regardless of direction. So, the absolute value of -4 is:

> |-4| = 4

✔ Answer: 4

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2. Evaluate: -4 - 6 + 5

We perform the operations from left to right:

- Start with: -4 - 6 = -10
- Then: -10 + 5 = -5

✔ Answer: -5

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3. Evaluate: -4⁴

This expression is - (4⁴) — the negative sign is not part of the base because there are no parentheses.

So:
- 4⁴ = 4 × 4 × 4 × 4 = 256
- Then apply the negative sign: -256

⚠️ Important: If it were (-4)⁴, that would be different: (-4)⁴ = 256 (since even power makes negative positive). But here it's just -4⁴.

✔ Answer: -256

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4. What is -√64?

First, find √64:
- √64 = 8 (since 8 × 8 = 64)

Now apply the negative sign:
- -√64 = -8

✔ Answer: -8

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5. Evaluate the expression for x = -5: 14x²

Step-by-step:
- First, square x: x² = (-5)² = 25
- Then multiply by 14: 14 × 25 = 350

✔ Answer: 350

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✔ Final Answers:

1. 4
2. -5
3. -256
4. -8
5. 350

Let me know if you'd like these explained in a different way!