It looks like you've uploaded a collage of
8th-grade math practice sheets covering several topics, including:
1.
Cube Roots
2.
Multiplying and Dividing Scientific Notation
3.
Graphing Proportional Relationships
4.
Finding the Equation of a Line
Since this is a visual image with multiple problems, I can't directly "see" or solve each one unless you specify which problem or section you'd like me to solve and explain.
However, I can help you
solve any of these problems if you tell me which one! For example:
- Do you want help with cube roots like $ \sqrt[3]{64} $?
- Are you stuck on multiplying scientific notation like $ (1.08 \times 10^9)(3 \times 10^5) $?
- Need help graphing proportional relationships or determining if a table shows a proportional relationship?
- Want to find the equation of a line given slope and y-intercept?
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Let’s walk through one example from each section to show how to solve them:
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🔹 Example 1: Cube Roots
Problem: $ \sqrt[3]{64} $
Solution:
We need to find a number that, when multiplied by itself three times, equals 64.
Try:
$ 4 \times 4 \times 4 = 64 $
✔ So, $ \sqrt[3]{64} = 4 $
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🔹 Example 2: Scientific Notation
Problem: $ (1.08 \times 10^9)(3 \times 10^5) $
Solution:
Multiply the coefficients: $ 1.08 \times 3 = 3.24 $
Add the exponents: $ 10^9 \times 10^5 = 10^{14} $
✔ Final answer: $ 3.24 \times 10^{14} $
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🔹 Example 3: Graphing Proportional Relationships
Suppose we have a table:
| x | y |
|---|---|
| 1 | 2 |
| 2 | 4 |
| 3 | 6 |
Step 1: Plot the points (1,2), (2,4), (3,6).
Step 2: Check if the line passes through the origin (0,0).
Step 3: Check if the ratio $ \frac{y}{x} $ is constant:
- $ \frac{2}{1} = 2 $, $ \frac{4}{2} = 2 $, $ \frac{6}{3} = 2 $ → Constant!
✔ Yes, it's proportional.
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🔹 Example 4: Finding the Equation of a Line
Problem: Slope $ m = 2 $, y-intercept = -2
Solution: Use slope-intercept form:
$ y = mx + b $
Plug in $ m = 2 $, $ b = -2 $:
$ y = 2x - 2 $
✔ Answer: $ y = 2x - 2 $
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✔ Summary:
These are all standard 8th-grade Common Core math skills. The practice sheets help students build fluency in:
- Working with radicals
- Scientific notation operations
- Understanding proportionality
- Linear equations
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📌
Please let me know which specific problem or section you'd like me to solve step-by-step, and I’ll walk you through it in detail!
Parent Tip: Review the logic above to help your child master the concept of 8th grade math common core worksheet.