Ratios, Equivalent Ratios, Ratio Tables

What is the purpose of using equivalent ratios in problem-solving?

• To create complex problems that are difficult to solve.

• To simplify problems and find unknown quantities by maintaining the same proportional relationship.

• To eliminate the need for calculations in problem-solving.

• To provide a method for guessing answers without reasoning.

What is the significance of the total in a ratio problem?

• It helps to determine the individual quantities when working with ratios, allowing for the calculation of missing values.

• It is used to simplify the ratio to its lowest terms.

• It indicates the maximum value that can be achieved in the ratio.

• It serves as a reference point for comparing different ratios.

If the ratio of cars to SUVs is 5:2 and there are 70 total vehicles, how many SUVs are there?

• 10 SUVs

• 15 SUVs

• 20 SUVs

• 25 SUVs

What is a ratio table?

• A tool used to organize pairs of numbers that form equivalent ratios, often used to find missing values.

• A method for calculating percentages in a given dataset.

• A graphical representation of data trends over time.

• A type of chart used to display the frequency of data points.

What does it mean for two ratios to be equivalent?

• They are always equal to each other.

• They represent the same relationship between quantities, meaning they simplify to the same fraction.

• They can be added together to form a new ratio.

• They must have the same numerator.

How can you check if two ratios are equivalent?

• By adding the numerators and denominators

• By cross-multiplying and comparing the products

• By finding the least common multiple

• By converting them to percentages

If the ratio of red pens to blue pens is 2:5 and there are 40 blue pens, how many red pens are there?

• 12 red pens

• 16 red pens

• 20 red pens

• 24 red pens

How can you use a tape diagram to represent ratios?

• A tape diagram visually represents the parts of a ratio using rectangles to show the relative sizes of each quantity.

• A tape diagram is used to calculate the exact numerical values of ratios without visual representation.

• A tape diagram only represents whole numbers and cannot be used for fractions in ratios.

• A tape diagram is a method to write ratios in fraction form without any visual aid.

What is the first step to solve a problem involving ratios?

• Identify the given ratios and the quantities involved.

• Calculate the total of the ratios provided.

• Convert the ratios into percentages.

• Determine the least common multiple of the ratios.

What is a ratio?

• A comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or as a fraction a/b.

• A method of calculating the average of a set of numbers.

• A way to measure the distance between two points in space.

• A technique used to analyze the performance of a business.