Unit 3 Review: Ratios, Rates, Unit Rates, Tape Diagrams, Graphs

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 to b' or a:b.

Front

How do you calculate a unit rate?

Back

A unit rate is calculated by dividing the quantity of one item by the quantity of another item, typically expressed as 'per unit' (e.g., miles per hour).

Front

If 3 sweatshirts cost $45, how much does one sweatshirt cost?

Back

One sweatshirt costs $15 (calculated by dividing $45 by 3).

Front

What is the unit rate if a car wash can wash 4 cars in one hour?

Back

The unit rate is 4 cars per hour.

Front

How do you represent a relationship as ordered pairs?

Back

An ordered pair is written as (x, y), where x is the independent variable (e.g., time) and y is the dependent variable (e.g., number of cars washed).

Front

What does the graph of the ordered pairs (0, 0), (1, 4), (2, 8), (3, 12) look like?

Back

The graph is a straight line that starts at the origin (0,0) and rises as you move to the right, indicating a linear relationship.

Front

What is a tape diagram?

Back

A tape diagram is a visual model that uses rectangles to represent numbers and their relationships, often used to solve ratio and proportion problems.

Front

If the ratio of red marbles to blue marbles is 2 to 3, how many red marbles are there if there are 6 blue marbles?

Back

There are 4 red marbles (calculated using the ratio 2:3, which means for every 2 red marbles, there are 3 blue marbles).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price (cost per item).

Front

How do you find the total cost of multiple items?

Back

Multiply the cost of one item by the number of items to find the total cost.