Solving One-Step Equations: Application Insights

This video tutorial covers lesson two of the equations and inequalities unit, focusing on applying steps for solving one-step equations to word problems. It begins with an overview of problem-solving steps, including identifying given information, determining the variable, and checking the solution's context. The tutorial includes five examples: calculating the cost of a school lunch in 1990, determining a little sister's weight, finding the cost of a microwave repair, measuring the length of a fence side, and calculating the height of an antenna. Each example involves setting up and solving equations using annotated diagrams.

What is the first step in solving real-world problems?

• Identify the variable

• Solve the equation

• Annotate the given information

• Check if the solution makes sense

What is the purpose of checking if the solution makes sense in the context of the problem?

• To identify the variable correctly

• To annotate the given information

• To verify the accuracy of the solution

• To ensure the equation is set up correctly

What does the variable 'c' represent in the first problem?

• Cost in 1990

• None of the above

• Today's cost

• Difference in cost

How do you represent the unknown weight of the little sister?

• With the letter 'c'

• With the letter 'w'

• With the letter 'x'

• With the letter 's'

In the second problem, what represents the total weight?

• 112 pounds

• The sister's weight

• The difference in weight

• 94 pounds

What operation is used to isolate the variable 'c' in the third problem?

• Multiplication

• Subtraction

• Addition

• Division

How is the cost of the repair calculated in the third problem?

• By adding the tax to the total cost

• By subtracting the tax from the total cost

• By multiplying the tax with the total cost

• By dividing the total cost by the tax

What is the length of the second side of the fence?

• 86 feet

• 51.5 feet

• 34.5 feet

• 137.5 feet

What is subtracted from the skyscraper's height to find the antenna's height?

• 2722 feet

• 2063 feet

• None of the above

• 659 feet

What does the equation '2722 = a + 659' represent in the last problem?

• None of the above

• The height of the antenna plus 659 equals the skyscraper's height

• The skyscraper's height minus the antenna's height equals 659

• The antenna's height plus the skyscraper's height equals 659