Equivalent Ratios B.2 Review

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers used are different. For example, the ratios 2:4 and 1:2 are equivalent because they represent the same proportion.

Front

How do you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, you can cross-multiply the terms. If the cross-products are equal, the ratios are equivalent.

Front

What is the unit price and how is it calculated?

Back

The unit price is the cost per single unit of a product. It is calculated by dividing the total price by the number of units. For example, if 4 panels cost $19.20, the unit price is $19.20 ÷ 4 = $4.80.

Front

In a ratio of 3:4, what does each number represent?

Back

In the ratio 3:4, the first number (3) represents the quantity of one item, while the second number (4) represents the quantity of another item. This means for every 3 of the first item, there are 4 of the second item.

Front

What is a bar model and how is it used in ratios?

Back

A bar model is a visual representation used to illustrate the relationship between quantities in a ratio. It helps to compare parts of a whole and can be used to solve problems involving ratios.

Front

If a recipe calls for a ratio of 2:5 for sugar to flour, how much flour is needed if you use 4 cups of sugar?

Back

If the ratio is 2:5, then for every 2 cups of sugar, 5 cups of flour are needed. If you use 4 cups of sugar, you would need (5/2) * 4 = 10 cups of flour.

Front

What is the significance of understanding ratios in real-life applications?

Back

Understanding ratios is important in real-life applications such as cooking, budgeting, and comparing prices, as it helps to make informed decisions based on proportional relationships.

Front

How can you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD). For example, the ratio 8:12 can be simplified to 2:3 by dividing both terms by 4.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator. For example, the ratio 3:4 can be expressed as the fraction 3/4.

Front

How do you solve a problem involving a missing value in a ratio?

Back

To solve for a missing value in a ratio, set up a proportion using the known values and cross-multiply to find the unknown value.