Mastering Proportion Word Problems

This video tutorial covers the concept of proportions, their application in solving word problems, and their relevance to the GED exam. It explains how to use algebra to solve proportion problems and provides examples to illustrate the concept. The tutorial also discusses advanced applications of proportions, including scale drawings and real-world scenarios.

What is a proportion in mathematical terms?

• A fraction that represents part of a whole

• A relationship between two numbers

• A number that represents a percentage

• Two equivalent ratios

Which of the following is an example of a proportion?

• 3/4 = 6/8

• 2/5 = 3/7

• 5/6 = 10/13

• 1/2 = 2/3

What is the first step in solving a proportion problem algebraically?

• Add the numerators

• Cross multiply the terms

• Subtract the fractions

• Divide the denominators

If 5 jobs can be completed in 3 days, how many jobs can be completed in 15 days?

• 25 jobs

• 35 jobs

• 20 jobs

• 30 jobs

Janice can read 2 books in 5 days. How many books can she read in 30 days?

• 10 books

• 15 books

• 18 books

• 12 books

When setting up a proportion problem, what is the most common mistake students make?

• Forgetting to cross-multiply

• Not aligning the numbers correctly

• Using decimals instead of fractions

• Using the wrong numbers

In the example with John Jets Dance Emporium, what does the number 42 represent?

• Employees using public transportation

• Total number of employees

• Employees not using public transportation

• Total number of students

How do you solve a one-step equation like 5x = 126?

• Multiply both sides by 5

• Subtract 5 from both sides

• Add 5 to both sides

• Divide both sides by 5

In a scale drawing problem, if the length of the propeller is 2.5 inches and the wingspan is 11.75 inches, what is the relationship being compared?

• Number of males to total students

• Height of man to shadow length

• Length of propeller to wingspan

• Length of propeller to height of tree

When using a calculator to handle fractions, what is the first step to multiply 1/2 by 28?

• Convert 1/2 to a decimal

• Add 1/2 and 28

• Use the n/d button to enter the fraction

• Divide 28 by 2