Understanding Basic Algebraic Concepts

The video tutorial covers proportional relationships and equations, focusing on the constant of proportionality. It includes warm-up exercises, mental math strategies for division, and real-world problem-solving applications. The lesson concludes with a new problem involving calculating speed and distance using equations.

What is the constant of proportionality if a table shows that 1 changes to 0.5?

• 2

• 0.5

• 0.25

• 1

How do you find the constant of proportionality if there is no '1' in the table?

• Multiply by 2

• Add 2

• Divide by 2

• Use any known relationship

What happens to the decimal place when you multiply a number by 100?

• Moves one place to the right

• Stays the same

• Moves two places to the right

• Moves two places to the left

If 645 divided by 100 equals 6.45, what is 645 divided by 50?

• 13.9

• 12.9

• 6.45

• 3.225

In a recipe, if 2 cups of rice serve 6 people, how many people will 3 cups serve?

• 9

• 12

• 6

• 3

What does the variable 'X' represent in a table of proportional relationships?

• A known value

• A fixed value

• A changing number

• A constant number

How do you write the equation for a variable 'n' multiplied by 0.5?

• n+0.5

• n/0.5

• 0.5n

• n0.5

What is the equation for distance if speed is constant and time is 'T'?

• D = 610T

• D = 610/T

• D = T/610

• D = T + 610

If a plane flies at 610 miles per hour, how far does it fly in 3 hours?

• 1,830 miles

• 610 miles

• 2,135 miles

• 915 miles

How would you calculate the distance for 3.5 hours at a speed of 610 miles per hour?

• Multiply 610 by 3.5

• Subtract 3.5 from 610

• Add 610 to 3.5

• Divide 610 by 3.5