What is the cross product of the ratios $$\frac{a}{b}$$ and $$\frac{c}{d}$$ ?

The cross product is $$a \cdot d = b \cdot c$$ .

If $$\frac{a}{b} = \frac{c}{d}$$ , what can you say about the values of a, b, c, and d?

The cross products are equal: $$a \cdot d = b \cdot c$$ .

What does it mean if two ratios are not in proportion?

It means that their cross products are not equal.

How can you check your answer after solving a proportion?

Substitute your answer back into the original proportion to see if both sides are equal.

What is a real-world example of using proportions?

Cooking recipes often use proportions to scale ingredients up or down.

What is the relationship between ratios and fractions?

Ratios can be expressed as fractions, and vice versa.

What is the importance of understanding proportions in mathematics?

Understanding proportions is essential for solving problems in geometry, algebra, and real-life applications.

Solving Proportions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

2.

FLASHCARD QUESTION

Front

How do you determine if two ratios are in proportion?

Back

Two ratios are in proportion if their cross products are equal.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

Yes, this is true.

5.

FLASHCARD QUESTION

Front

Back

r = 32.

6.

FLASHCARD QUESTION

Front

Back

m = 90.

7.

FLASHCARD QUESTION

Front

Back

x = 20.

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