Solving Addition Equations Involving Fractions

The video tutorial explains how to solve a one-step addition equation involving fractions. It uses a practical example where Carla runs a certain distance on Monday and a longer distance on Tuesday. The tutorial defines a variable for the unknown distance, sets up an equation, and demonstrates how to solve it using inverse operations. The solution reveals how far Carla ran on Monday, and the lesson concludes with a recap of the key concepts.

What is the total distance Carla ran on Tuesday?

• 5 miles

• 4 1/2 miles

• 6 3/4 miles

• 2 1/4 miles

If X represents the distance Carla ran on Monday, which equation correctly represents the problem?

• X + 6 3/4 = 4 1/2

• X = 6 3/4 + 4 1/2

• X - 4 1/2 = 6 3/4

• X + 4 1/2 = 6 3/4

What operation is used to isolate the variable X in the equation?

• Division

• Multiplication

• Addition

• Subtraction

After solving the equation, how far did Carla run on Monday?

• 6 3/4 miles

• 4 1/2 miles

• 3 miles

• 2 1/4 miles

What mathematical concept was primarily used in this lesson?

• Solving quadratic equations

• Solving one-step equations with fractions

• Multiplying fractions

• Dividing fractions