M2 T1 Lesson 4-6 Flashcard Review

Front

What is a ratio?

Back

A ratio is a relationship between two numbers that shows how many times the first number contains the second.

Front

If the ratio of purple bikes to red bikes is 8 to 12, how can you find the number of purple bikes if there are 100 bikes in total?

Back

To find the number of purple bikes, first add the parts of the ratio (8 + 12 = 20). Then, divide the total number of bikes (100) by the total parts (20) to find the value of one part (100 ÷ 20 = 5). Finally, multiply the number of purple parts (8) by the value of one part (8 × 5 = 40).

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they simplify to the same fraction or if their cross products are equal.

Front

What is the relationship between cups of flour and cups of milk in a pancake recipe that calls for 2 cups of flour for every 1.5 cups of milk?

Back

The relationship can be expressed as a ratio of flour to milk, which is 2:1.5 or simplified to 4:3.

Front

If there are 3 feet in every yard, how can you express this relationship in a table?

Back

You can create a table showing yards in one column and feet in another, e.g., 1 yard = 3 feet, 2 yards = 6 feet, 3 yards = 9 feet.

Front

What is a proportion?

Back

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

Front

If Mickey has 20 shirts for every 4 ties, how can you find the number of ties if he has 30 shirts?

Back

Set up a proportion: 20 shirts/4 ties = 30 shirts/x ties. Cross-multiply and solve for x to find that x = 6 ties.

Front

What does it mean for two prices to be equivalent?

Back

Two prices are equivalent if they represent the same cost per item, meaning the unit price is the same.

Front

How do you calculate the cost per muffin if Mrs. Shelly paid $3 for 6 muffins?

Back

Divide the total cost by the number of muffins: $3 ÷ 6 muffins = $0.50 per muffin.