Understanding Division and Coefficients

The video tutorial on the 'Math is Simple' YouTube channel explains how to solve one-step equations using the division property of equality. It provides two examples: solving 9x = 360 and 5p = 75, demonstrating the step-by-step process of isolating the variable by dividing both sides of the equation by the coefficient. The tutorial emphasizes the importance of keeping equal signs aligned and understanding the role of coefficients. It concludes by encouraging viewers to explore additional videos on related mathematical properties.

What is the first step in solving a one-step equation using the division property of equality?

• Multiply both sides by the variable

• Add the coefficient to both sides

• Subtract the variable from both sides

• Divide both sides by the coefficient

In the equation 9x = 360, what operation is used between 9 and x?

• Division

• Multiplication

• Subtraction

• Addition

What is the result of dividing both sides of the equation 9x = 360 by 9?

• x = 360

• x = 1

• x = 40

• x = 9

Why is the coefficient of 1 often removed in equations?

• It complicates the equation

• It is required for advanced math

• It is unnecessary as a placeholder

• It changes the value of the variable

In the equation 5p = 75, what is the first step to isolate p?

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 5 from both sides

• Add 5 to both sides

What is the value of p in the equation 5p = 75 after solving?

• p = 25

• p = 5

• p = 75

• p = 15

What is the division property of equality used for?

• To subtract numbers from both sides

• To add numbers to both sides

• To multiply numbers on both sides

• To divide numbers on both sides

What is the inverse operation of multiplication?

• Addition

• Subtraction

• Division

• Multiplication

What should you do if the denominator is on the outside during division?

• Place it inside the division symbol

• Ignore it

• Keep it outside

• Multiply it by the numerator

How many times does 9 go into 36?

• 3 times

• 4 times

• 6 times

• 5 times