Solving Equations and Word Problems

This video tutorial covers solving one-step equations with rational coefficients, focusing on using inverse operations to isolate variables. It includes example problems and real-world applications, such as calculating changes in elevation and stock values. The tutorial emphasizes understanding the process of solving equations and applying these skills to more complex problems.

What is the primary method used to solve one-step equations?

• Trial and error

• Graphing the equation

• Guessing the solution

• Using inverse operations

How do you solve the equation x + 3.2 = -8.5?

• Add 3.2 to both sides

• Divide both sides by 3.2

• Subtract 3.2 from both sides

• Multiply both sides by 3.2

In the equation y - 2/3 = 8, what operation should be performed to isolate y?

• Subtract 2/3 from both sides

• Add 2/3 to both sides

• Divide both sides by 2/3

• Multiply both sides by 2/3

What is the solution to the equation 30 = -0.5a?

• a = -60

• a = 60

• a = -15

• a = 15

How do you solve the equation -3c = 36?

• Add 3 to both sides

• Subtract 3 from both sides

• Divide both sides by -3

• Multiply both sides by -3

A scuba diver moves from -12.2 meters to -4.55 meters. What is the vertical distance traveled?

• 8.65 meters

• 6.65 meters

• 7.65 meters

• 5.65 meters

If an airplane descends 1.5 miles to an elevation of 5.25 miles, what was its starting elevation?

• 7.75 miles

• 6.75 miles

• 5.75 miles

• 4.75 miles

How many minutes will it take for the temperature to decrease by 5 degrees at a rate of 3/4 degree per hour?

• 400 minutes

• 600 minutes

• 300 minutes

• 500 minutes

A stock decreases by $1.20 per hour for 3.5 hours. What is the total decrease in value?

• $4.20

• $3.20

• $2.20

• $5.20

If the temperature in a freezer increases by 2.5 degrees per hour and the total increase is 7.5 degrees, how long was the power out?

• 5 hours

• 3 hours

• 2 hours

• 4 hours