Ratios 6th grade review

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a:b'.

Front

How do you calculate the total earnings based on hourly wage?

Back

Multiply the hourly wage by the number of hours worked. For example, if Maria earns $12.00 per hour and works 4 hours, she earns $12.00 x 4 = $48.00.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when one quantity is a multiple of another. For example, if y is 2.5 times x, then for every unit increase in x, y increases by 2.5 times that amount.

Front

What is an additive relationship?

Back

An additive relationship is when a constant is added to a quantity. For example, if y is 3 more than x, then for every unit increase in x, y increases by 1.

Front

How do you determine which mixture has more flavor based on ratios?

Back

To determine which mixture has more flavor, compare the amount of flavoring (scoops of powder) to the amount of liquid (cups of water). The mixture with more flavoring per unit of liquid has a stronger flavor.

Front

If the ratio of boys to girls is 3:4 and there are 21 boys, how do you find the number of girls?

Back

Set up a proportion: 3/4 = 21/g. Cross-multiply to find g: 3g = 84, so g = 28.

Front

What is the ratio of blue paint to yellow paint in the mixture?

Back

The ratio of blue paint to yellow paint in the mixture is 10:15, which simplifies to 2:3.

Front

How can you find equivalent ratios?

Back

To find equivalent ratios, multiply or divide both terms of the ratio by the same non-zero number. For example, multiplying 2:3 by 2 gives 4:6.

Front

What is the importance of understanding ratios in real-life situations?

Back

Understanding ratios helps in making comparisons, scaling recipes, and analyzing data in various contexts, such as cooking, finance, and science.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, the ratio 10:15 simplifies to 2:3.