Solving Equations and Variables

The video tutorial covers solving one-step equations through real-life word problems. It introduces the concept of defining variables, writing equations, and solving them. Four examples are provided: calculating hours worked, determining the number of bagels in a bakery, finding the distance driven by the Parker family, calculating total games played by a softball team, and determining Joe's total savings. Each example follows the three-step process of defining a variable, writing an equation, and solving it.

What is the first step in solving a one-step equation word problem?

• Write the equation

• Define the variable

• Solve the equation

• Check the solution

In the example of hours worked, what does the variable X represent?

• Hours worked in a week

• Hourly wage

• Number of weeks worked

• Total earnings

How do you solve the equation 8X = 80?

• Subtract 8 from both sides

• Divide both sides by 8

• Multiply both sides by 8

• Add 8 to both sides

In the bagel problem, what does the variable B represent?

• Number of bagels left

• Number of bagels sold

• Total number of bagels

• Number of sesame bagels

What is the reciprocal of 1/3?

• 3

• 1/2

• 1

• 1/3

How many total bagels are there if 1/3 of them are sesame bagels and there are 72 sesame bagels?

• 288

• 216

• 144

• 72

In the Parker family road trip problem, what does the variable M represent?

• Total miles driven

• Miles driven on the first day

• Miles driven on the last day

• Average miles per day

How do you solve the equation 1.5M = 180?

• Multiply both sides by 1.5

• Subtract 1.5 from both sides

• Divide both sides by 1.5

• Add 1.5 to both sides

How many miles did the Parker family drive on the first day?

• 90

• 150

• 60

• 120

In Latoya's softball team problem, what does the variable G represent?

• Games tied

• Total games played

• Games won

• Games lost