Proportions

Front

What is a proportion?

Back

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

Front

How do you determine if two ratios form a proportion?

Back

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

Front

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

Back

The cross product is \( a \cdot d \) and \( b \cdot c \). If \( a \cdot d = b \cdot c \), then the ratios form a proportion.

Front

Solve for x: \( \frac{2x}{20} = \frac{2}{4} \)

Back

x = 5

Front

If there are 6 red cars sold to every 3 blue cars, what is the ratio of red cars to blue cars?

Back

The ratio is 6:3, which simplifies to 2:1.

Front

Is the ratio 4:2 equivalent to 2:1?

Back

Yes, both ratios are equivalent.

Front

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

Back

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

Front

Determine if the following ratios form a proportion: 1/2 and 2/4.

Back

Proportion (1/2 = 2/4).

Front

Determine if the following ratios form a proportion: 3/4 and 5/6.

Back

Not a Proportion (3/4 ≠ 5/6).

Front

Solve for x: \( \frac{x}{16} = \frac{26}{28} \)

Back

x = 26.