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Lesson 91: Algebra I #3.9c, Proportions – Means and extremes

Algebra 1
Lesson 91: Algebra I
Algebra I #3.9c, Proportions – Means and extremes
Lesson 91: Algebra I #3.9c, Proportions – Means and extremes

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Question 1 of 10

1. Question

How are proportions defined in the context of the lesson?

Products of two fractions
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Ratios that sum to 100
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Equations containing two unique variables
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Equivalent ratios
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Question 2 of 10

2. Question

How is the proportion 1/3 = 2/6 read aloud correctly?

1 is to 3 as 2 is to 6
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1 over 3 equals 2 over 6
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1 times 3 as 2 times 6
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1 divided by 3 plus 2 divided by 6
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Question 3 of 10

3. Question

In the proportion 1/3 = 2/6, which two numbers are the ‘means’?

3 and 6
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1 and 2
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1 and 6
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3 and 2
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Question 4 of 10

4. Question

In the proportion 1/3 = 2/6, which two numbers are the ‘extremes’?

1 and 3
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2 and 6
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3 and 2
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1 and 6
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Question 5 of 10

5. Question

What is a coefficient as defined in the transcript?

The symbol representing an unknown value
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The product of cross-multiplication
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The reciprocal of a given fraction
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The number in front of a variable
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Question 6 of 10

6. Question

When cross-multiplying the means and extremes in the proportion 2/9 = x/18, what equation is produced?

2x = 162
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9x = 36
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9x = 18
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18x = 18
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Question 7 of 10

7. Question

What is the solved value of x for the proportion 2/9 = x/18?

2
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8
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4
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9
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Question 8 of 10

8. Question

To solve 9x = 36 using the Multiplication Property of Equality, what reciprocal should be multiplied on both sides?

1/9
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1/4
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1/36
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9/1
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Question 9 of 10

9. Question

Why does the lesson recommend using the reciprocal of the coefficient when solving equations with fractions?

Because cross-multiplication only applies to whole numbers
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Because using reciprocals avoids having to use the Identity Property
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Because multiplying by the reciprocal eliminates the fraction and easily multiplies both numerator and denominator
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Because division cannot mathematically be performed on fractions
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Question 10 of 10

10. Question

When 9/9 simplifies to 1 in the expression (9/9)x = 1x, which mathematical property is highlighted?

Distributive Property
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Identity Property
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Associative Property
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Commutative Property
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