Simple Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How can a ratio be expressed?

Back

A ratio can be expressed in three ways: using a colon (e.g., 3:4), as a fraction (e.g., 3/4), or in words (e.g., 3 to 4).

Front

What is the ratio of 4 apples to 8 oranges?

Back

The ratio is 4:8, which can be simplified to 1:2.

Front

If there are 5 turtles and 3 seals, what is the ratio of turtles to seals?

Back

The ratio of turtles to seals is 5:3.

Front

What is the ratio of red circles to blue stars if there are 7 red circles and 4 blue stars?

Back

The ratio is 7:4.

Front

How do you simplify the ratio 10:15?

Back

To simplify, divide both numbers by their greatest common divisor, which is 5. The simplified ratio is 2:3.

Front

What is the first step to solve the equation 7x - 2 = 12?

Back

Add 2 to both sides to isolate the term with x: 7x = 14.

Front

What is the solution to the equation 7x - 2 = 12?

Back

The solution is x = 2.

Front

If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much sugar is needed for 4 cups of flour?

Back

For 4 cups of flour, you need 6 cups of sugar, maintaining the ratio of 2:3.

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, such as 1:2 and 2:4.