Let's solve each problem on the
"Advanced Real World Math Operations - Independent Practice Worksheet" step by step and explain the solutions clearly.
---
1. Nelson flew a kite to 60 feet above ground level in half a minute. What was the rate of rise of the kite in feet per second?
Step 1: Understand what is being asked
We need to find the
rate of rise, which is
distance divided by time.
- Distance = 60 feet
- Time = half a minute = 30 seconds
Step 2: Use the formula:
$$
\text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{60}{30} = 2 \text{ feet per second}
$$
✔ Answer: The kite rose at a rate of
2 feet per second.
---
2. Calculate: |12| - 0.61 - |-6| + 0.88
Step 1: Evaluate absolute values
- |12| = 12
- |-6| = 6
Now substitute:
$$
12 - 0.61 - 6 + 0.88
$$
Step 2: Perform operations left to right:
- 12 - 0.61 = 11.39
- 11.39 - 6 = 5.39
- 5.39 + 0.88 =
6.27
✔ Answer: 6.27
---
3. Roger's car loan is automatically deducting $235 from his bank account every month. How much will the deductions total for the year?
Step 1: There are 12 months in a year
So, total deduction = monthly amount × number of months
$$
235 \times 12 = ?
$$
Break it down:
- 235 × 10 = 2,350
- 235 × 2 = 470
- Total = 2,350 + 470 =
2,820
✔ Answer: $2,820
---
4. Calculate: |-22| + 9.61 - |-3| + 2.31
Step 1: Absolute values
- |-22| = 22
- |-3| = 3
Now substitute:
$$
22 + 9.61 - 3 + 2.31
$$
Step 2: Perform operations:
- 22 + 9.61 = 31.61
- 31.61 - 3 = 28.61
- 28.61 + 2.31 =
30.92
✔ Answer: 30.92
---
5. Jeff has 12 laptops. The service charges for each laptop are $28. Find the total expenditure.
Step 1: Multiply number of laptops by cost per laptop
$$
12 \times 28 = ?
$$
Break it down:
- 10 × 28 = 280
- 2 × 28 = 56
- Total = 280 + 56 =
336
✔ Answer: $336
---
6. Hilt’s garden has lots of apple trees. 140 apples fall on the ground in 35 seconds. How many apples fall in one second?
Step 1: We want the rate of apples falling per second
$$
\text{Rate} = \frac{140}{35} = 4
$$
✔ Answer: 4 apples per second
---
✔ Final Answers:
1.
2 feet per second
2.
6.27
3.
$2,820
4.
30.92
5.
$336
6.
4 apples per second
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Parent Tip: Review the logic above to help your child master the concept of independent practice math worksheet.
