If $$\frac{a}{b} = \frac{c}{d}$$ , what is the cross-multiplication result?

The result is $$a \cdot d = b \cdot c$$ .

What is the first step in solving $$\frac{3}{4} = \frac{x}{8}$$ ?

The first step is to cross-multiply: $$3 \cdot 8 = 4 \cdot x$$ .

How can you express a proportion using fractions?

A proportion can be expressed as $$\frac{a}{b} = \frac{c}{d}$$ .

What is the relationship between equivalent fractions and proportions?

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

If $$\frac{5}{x} = \frac{10}{20}$$ , how do you find x?

Cross-multiply to get $$5 \cdot 20 = 10 \cdot x$$ , then solve for x.

What does it mean if two ratios are not proportional?

If two ratios are not proportional, it means they do not represent the same relationship or value.

How can you check if two ratios are proportional?

You can check by cross-multiplying and seeing if the products are equal.

What is the significance of solving proportions in real life?

Solving proportions helps in understanding relationships between quantities, such as in recipes, maps, and scale models.

Solve 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 solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and then solve for the unknown variable.

3.

FLASHCARD QUESTION

Front

What does cross-multiplication mean?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

x = 6.

7.

FLASHCARD QUESTION

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

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