Proportional Reasoning Topic Review

Front

What is proportional reasoning?

Back

Proportional reasoning is the ability to compare ratios and understand the relationship between quantities that change in relation to each other.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

Front

How do you calculate the unit rate?

Back

To find the unit rate, divide the quantity of one item by the quantity of another item, often expressed as 'per' something (e.g., miles per hour).

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What does it mean if two quantities are directly proportional?

Back

Two quantities are directly proportional if they increase or decrease at the same rate, meaning their ratio remains constant.

Front

How do you find the total cost of items when given a unit price?

Back

Multiply the unit price by the number of items to find the total cost.

Front

What is the formula for finding the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?

Back

The car will travel 180 miles in 3 hours.

Front

What is the relationship between the number of muffins and cups if there are 2 cups for every 8 muffins?

Back

For every 8 muffins, there are 2 cups, indicating a ratio of muffins to cups of 8:2 or simplified to 4:1.

Front

How do you convert a fraction to a decimal?

Back

Divide the numerator by the denominator to convert a fraction to a decimal.