Distributive Property and Combining Like Terms Challenge

This video tutorial reviews the distributive property and introduces combining like terms. It includes practice problems, advanced problems involving fractions, and applying the distributive property with decimals. The tutorial emphasizes the importance of keeping track of signs and using multiplication to distribute terms inside parentheses.

What is the result of applying the distributive property to -5(8 - 4p)?

• -40 + 20p

• 40 - 20p

• 40 + 20p

• -40 - 20p

If you distribute 2 across the terms 4 + v, what is the correct expression?

• 8 + 2v

• 6 + 2v

• 8v + 2

• 8 + v

What is the simplified form of the expression after distributing 3 over (9n - 2) and adding 1?

• 27n - 7

• 27n - 5

• 27n + 5

• 26n - 5

What is the correct expression after distributing -4 across (1 - 5x)?

• -4 + 20x

• 4 - 20x

• -4 - 20x

• 4 + 20x

What is the final simplified form of 3(9n - 2) + 1?

• 28n - 2

• 26n - 1

• 27n - 1

• 27n - 5

How do you calculate 3/4 times 2/3 using a calculator?

• Subtract one fraction from the other.

• Use the fraction button to multiply the fractions directly.

• Convert fractions to decimals and then multiply.

• Add the fractions instead of multiplying.

How do you handle a term like 3/4v in an expression?

• Treat 3/4 as a coefficient of v.

• Add 3/4 to v.

• Subtract 3/4 from v.

• Divide v by 3/4.

What is the result of -9.8 times -7.8?

• -152.88

• 152.88

• -76.44

• 76.44

What is the result of combining like terms in the expression 5/3n - 1 1/4n?

• 5/6n

• 3/4n

• 5/12n

• 1/2n

What is the correct way to multiply -5/6 by 3/2 using a calculator?

• Use the fraction button to multiply directly.

• Convert to decimals and multiply.

• Subtract one fraction from the other.

• Add the fractions instead of multiplying.