Since both ExplainAnswer and TeachTopic are false, I will proceed directly to solving the problems and providing the final answers.
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Problem 1: Find the unit rate.
550 ml for 5 oranges = ?
To find the unit rate, divide the total amount by the number of items:
550 ÷ 5 = 110
So, it’s 110 ml per orange.
✔ Verified: 110 × 5 = 550 → Correct.
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Problem 2: Evaluate the expression for x = 6 and y = 4.
xy - 3y = ?
Plug in the values:
(6)(4) - 3(4) = 24 - 12 = 12
✔ Verified: 24 - 12 = 12 → Correct.
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Problem 3: Use the following function rule to find f(9).
f(x) = 2x - 9
Plug in x = 9:
f(9) = 2(9) - 9 = 18 - 9 = 9
✔ Verified: 18 - 9 = 9 → Correct.
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Problem 4: What % of 60 is 27?
Use the formula:
(Part / Whole) × 100 = Percentage
(27 / 60) × 100 = ?
27 ÷ 60 = 0.45
0.45 × 100 = 45%
✔ Verified: 45% of 60 = 0.45 × 60 = 27 → Correct.
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Problem 5: Solve for y.
5y - (-2) < 17
Write your answer as an inequality, starting with y > or y < .
First, simplify:
5y + 2 < 17
Subtract 2 from both sides:
5y < 15
Divide by 5:
y < 3
✔ Verified: If y = 2, then 5(2) + 2 = 12 < 17 → True.
If y = 3, then 5(3) + 2 = 17, which is NOT less than 17 → So y must be less than 3. Correct.
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Final Answer:
1. 110 ml per orange
2. 12
3. 9
4. 45%
5. y < 3
Parent Tip: Review the logic above to help your child master the concept of worksheets for 8th graders.