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Lesson 35: Algebra I #1.9b, Dimensional analysis

Algebra 1
Lesson 35:
Lesson 35: Algebra I #1.9b, Dimensional analysis
Lesson 35: Algebra I #1.9b, Dimensional analysis

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Question 1 of 10

1. Question

What is the definition of dimensional analysis as described in the video?

Graphing coordinates on a multi-dimensional plane.
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Carrying the same dimension or unit through a computation to ensure values are compatible.
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Solving algebraic equations by isolating variables.
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Estimating measurements using rounding rules.
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Question 2 of 10

2. Question

Why is it necessary to perform dimensional analysis before calculating with formulas?

To increase the size of the final calculated number.
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To ensure all measurement units are compatible and in the same increment.
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To eliminate all decimal points from the final answer.
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To change all values to percentages.
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Question 3 of 10

3. Question

In the lesson’s perimeter example, a rectangle has a length of 10 feet and a width of 24 inches. How was the width adjusted to make the units compatible?

The 24 inches were kept as-is, and the feet were ignored.
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The 10 feet were converted to 120 inches.
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Both units were converted to meters.
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The 24 inches were converted to 2 feet.
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Question 4 of 10

4. Question

Using the perimeter formula P = 2L + 2W, with a length of 10 feet and a width of 24 inches (converted to feet), what is the final perimeter?

24 feet
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20 feet
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68 feet
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48 feet
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Question 5 of 10

5. Question

Why must a 5% sales tax rate be written as 0.05 in the tax formula T = 0.05P?

Because decimals are always larger than percentages.
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To make the percentage rate compatible with the decimal money format.
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To convert the rate into an exponent.
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Because algebraic formulas cannot contain whole numbers.
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Question 6 of 10

6. Question

If a cupcake costs $2.00 and has a 5% sales tax (using the formula T = 0.05P), what is the exact tax amount?

$0.05
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$0.50
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$0.10
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$1.00
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Question 7 of 10

7. Question

When calculating the tax on a $2.00 cupcake, why is it preferable to write the final tax as $0.10 instead of using the cent sign (10¢)?

Decimal notation makes the tax amount physically smaller.
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Because tax must always be represented by a whole number.
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Because the cent sign is no longer used in modern mathematics.
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To maintain consistency and compatibility with the decimal values used in the problem.
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Question 8 of 10

8. Question

Which of the following pairs of units would require conversion before they can be used together in a standard addition formula?

Inches and inches
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Dollars and dollars
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Hours and minutes
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Seconds and seconds
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Question 9 of 10

9. Question

If you are given a length in yards and a width in feet, how must you prepare the values before finding the area of a rectangle?

Add them directly and label the final unit as 'yard-feet'.
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Convert either yards to feet, or feet to yards, so that both dimensions share the same unit.
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Convert both units into percentages.
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Multiply the yards by the feet directly without changing them.
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Question 10 of 10

10. Question

In the formula T = 0.05P used in the lesson, what do the variables T and P represent?

T represents the total cost, and P represents the percent.
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T represents time, and P represents perimeter.
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T represents the tax amount, and P represents the price.
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T represents tax, and P represents perimeter.
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