Ratios, Proportions & Rate Vocabulary Quiz

The word "equal" means having the same value or amount. It suggests that two or more things are identical or balanced in terms of quantity or quality. In the given options, "equal" is the most appropriate choice as it best describes the concept of equivalence or being the same in value or degree.

Percent means out of 100. It is a way of expressing a portion or a fraction of a whole based on a scale of 100. For example, if something is 50%, it means it is half of the whole or half of 100. Similarly, if something is 100%, it means it is the entire whole or the whole 100. Therefore, the correct answer is 100 because percent refers to a value out of 100.

The term "simplify" means to reduce or make something smaller. When putting a fraction or ratio in lowest terms, we are simplifying it by dividing both the numerator and denominator by their greatest common divisor. This process reduces the fraction or ratio to its simplest form, making it smaller and easier to work with. Therefore, "simplify" is the correct answer.

The ratio 9:12 is equivalent to 3:4 because both ratios can be simplified to the same value. To simplify the ratio 9:12, we can divide both numbers by their greatest common divisor, which is 3. Dividing 9 by 3 gives us 3, and dividing 12 by 3 gives us 4. Therefore, the simplified ratio is 3:4, which is equivalent to 9:12.

The phrase "one fourth" is not the correct way to express a ratio. Ratios are typically expressed using the format "a:b" or "a to b". "One fourth" is a fraction that represents a proportion, but it is not a ratio. Ratios compare two quantities and indicate the relationship between them, while "one fourth" simply represents a fraction or a part of a whole.

A proportion is a statement that shows that two ratios are equal. It is a way of comparing two quantities and stating that they are in the same proportion or have the same relationship. In other words, if two ratios are equivalent, they can be expressed as a proportion.

The term "unit rate" refers to the rate of one quantity per unit of another quantity. It is used to find out how much one quantity would be in terms of a specific unit, such as per gallon, per ounce, or per person. The unit rate allows for easy comparison and calculation, as it provides a standardized measure for different quantities.

A ratio is a comparison of two quantities or numbers. It is used to express the relationship between the two quantities and is written in the form of a fraction or with a colon. Ratios are used to compare different aspects or parts of a whole and can be used to solve problems involving proportions or finding equivalent ratios. In this context, a ratio is the most appropriate term to describe a comparison of two quantities or numbers.

The ratio 24:105 can be simplified to the lowest terms by dividing both numbers by their greatest common divisor, which is 3. When we divide 24 by 3, we get 8, and when we divide 105 by 3, we get 35. Therefore, the ratio 24:105 in lowest terms is 8:35.

The term "rate" is used when comparing two different variables, such as miles to gallons or sandwiches to people. It refers to the measurement of how one quantity changes in relation to another quantity. A rate is a comparison of two different quantities and is often expressed as a ratio. Therefore, "rate" is the correct answer in this context.