Basic Arithmetic and Equation Solving

The video tutorial explains how to solve a math equation to find the value of x. It begins by introducing the problem and then demonstrates the steps to isolate x by adding 17 to both sides of the equation. Next, it shows how to multiply both sides by the reciprocal to further simplify the equation. Finally, the tutorial walks through the final calculations to determine the value of x, which is 80.

What is the initial equation given in the problem?

• 2/5x - 17 = 15

• x/25 - 17 = 15

• 5/2x - 17 = 15

• 25x - 17 = 15

What is the first step to solve the equation 2/5x - 17 = 15?

• Subtract 17 from both sides

• Multiply both sides by 5

• Add 17 to both sides

• Divide both sides by 2

After adding 17 to both sides, what does the equation become?

• x = 32

• 5/2x = 32

• 2/5x = 15

• 2/5x = 32

What is the sum of 17 and 15?

• 32

• 30

• 34

• 28

What is the carry-over when adding 5 and 7?

• 1

• 2

• 3

• 0

What operation is used to isolate x in the equation 2/5x = 32?

• Multiply by 5/2

• Divide by 5/2

• Add 5/2

• Multiply by 2/5

What is the reciprocal of 2/5?

• 5/2

• 2/5

• 1/5

• 5

How is 32 represented as a fraction?

• 32/1

• 1/32

• 32/2

• 32/32

What is the result of 32 divided by 2?

• 8

• 16

• 64

• 32

What is the purpose of cross-reducing in fraction multiplication?

• To make the numbers larger

• To add fractions

• To simplify the calculation

• To change the equation