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

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

If $$\frac{3}{x} = \frac{6}{12}$$ , how do you find x?

Cross-multiply to get $$3 \times 12 = 6 \times x$$ , then solve for x.

What is the value of x in the proportion $$\frac{x}{5} = \frac{10}{15}$$ ?

x = 10/3 or approximately 3.33.

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

It means that the cross products of the ratios are not equal.

How can you check if your solution to a proportion is correct?

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

What is a real-world example of using proportions?

Using proportions to scale a recipe up or down.

What is the relationship between equivalent fractions and proportions?

Equivalent fractions represent the same value and can be used to form proportions.

Proportions Warm Up Flashcards

Student preview

15 questions

Show all answers

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 form a proportion?

Back

Two ratios form a proportion if the cross products are equal.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

Yes, they form a proportion.

5.

FLASHCARD QUESTION

Front

Back

a = 2.

6.

FLASHCARD QUESTION

Front

Back

Yes, they form a proportion.

7.

FLASHCARD QUESTION

Front

Back

No, they do not form a proportion.

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