Eureka Mid-Module 1 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. For example, a ratio of 6:5 means for every 6 of one item, there are 5 of another.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both sides of the ratio by their greatest common divisor (GCD). For example, the ratio 8:12 can be simplified to 2:3 by dividing both numbers by 4.

Front

What does it mean for a ratio to remain consistent?

Back

A consistent ratio means that the relationship between the two quantities does not change. For example, if the ratio of sea turtles to jellyfish is 1:4, it remains the same regardless of how many total animals are counted.

Front

If Jordan recycles 5 cans for every 7 cans Ellen recycles, what is the total number of cans recycled if Jordan recycles 35 cans?

Back

Jordan recycles 35 cans, which is 5 times 7. Therefore, Ellen recycles 7 times 5 = 35 cans. The total is 35 + 49 = 84 cans.

Front

What is the formula to find the total amount of paint needed based on a ratio?

Back

To find the total amount of paint needed based on a ratio, you can use the formula: Total Paint = (Amount of Paint A + Amount of Paint B) * (Ratio of Paint A / Total Ratio).

Front

How do you find a missing value in a ratio table?

Back

To find a missing value in a ratio table, set up a proportion using the known values and solve for the unknown. For example, if the ratio is 6:5 and you know one value, you can find the other by cross-multiplying.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4, which represents the same relationship.

Front

How can you use ratios to compare quantities?

Back

Ratios allow you to compare two quantities by showing how much of one exists in relation to the other. For example, if there are 6 sea turtles and 24 jellyfish, the ratio of turtles to jellyfish is 1:4.

Front

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

Back

Understanding ratios helps in making comparisons, scaling recipes, mixing colors, and analyzing data in various real-life situations.

Front

If a class uses a ratio of 6 ounces of red paint to 5 ounces of yellow paint, how much yellow paint is needed for 12 ounces of red paint?

Back

If the ratio is 6:5, for 12 ounces of red paint, you need (12/6) * 5 = 10 ounces of yellow paint.