Exploring Proportions: Methods to Solve Ratios

What is a proportion?

• A type of fraction.

• A method to solve equations.

• A statement that two ratios are equal.

• A comparison of two different quantities.

Which of the following is an example of a proportion?

• 5/7 = 10/14

• 3/4 = 6/8

• 2/3 = 4/6

• All of the above

In which real-life situation might you encounter proportions?

• Calculating speed

• Determining gas mileage

• Comparing prices per pound

• All of the above

What is one method to solve proportions if the numbers are easy?

• Guessing

• Using a calculator

• Cross-multiplying

• Using a table

If 120 dollars is earned in 8 hours, how many hours are needed to earn 45 dollars?

• 5 hours

• 4 hours

• 3 hours

• 2 hours

How do you solve a proportion using equivalent fractions?

• By multiplying both sides by the same number

• By finding a common denominator

• By using the same multiplier for both parts of the ratio

• By guessing the missing number

What is the main method to solve proportions?

• Using equivalent fractions

• Using a calculator

• Using a table

• Cross-multiplying

When cross-multiplying, what do you do after multiplying the terms?

• Divide the results

• Subtract the results

• Add the results

• Set the products equal to each other

What is the result of solving the proportion 5/31 = x/18 using cross-multiplication?

• x = 5.1

• x = 4.2

• x = 3.5

• x = 2.903

How do you handle negative numbers when solving proportions?

• Multiply as usual and keep track of the sign

• Ignore the negative sign

• Add the negative sign at the end

• Convert all numbers to positive