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

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

What is the first step in solving $$ \frac{x}{4} = \frac{2}{8} $$ ?

Cross-multiply to get $$ 8x = 8 $$ .

If $$ \frac{p}{2} = \frac{6}{4} $$ , how do you find p?

Cross-multiply to get $$ 4p = 12 $$ , then solve for p to get $$ p = 3 $$ .

How do you check if two ratios are proportional?

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

What is the relationship between direct variation and proportions?

Direct variation means that as one quantity increases, the other quantity increases in a proportional manner.

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

The ratios $$ a:b $$ and $$ c:d $$ are equivalent.

What is an example of a real-world situation that can be modeled with proportions?

If a recipe requires 2 cups of flour for every 3 cups of sugar, you can use proportions to adjust the recipe.

What is the importance of rounding in solving proportions?

Rounding is important to provide a practical answer, especially in real-world applications.

What does it mean if two ratios are not proportional?

If two ratios are not proportional, it means that the cross-products are not equal.

How can proportions be used in scale drawings?

Proportions help maintain the same ratio between the dimensions of the drawing and the actual object.

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 solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then isolate the 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

7.

FLASHCARD QUESTION

Front

Back

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