Distributive Property and Combining Like Terms Mastery

The video tutorial covers the distributive property and combining like terms in algebra. It begins with an introduction to the distributive property, explaining how to handle expressions with numbers outside parentheses. The tutorial then moves on to combining like terms, providing examples and step-by-step solutions. Advanced examples are presented, including problems with decimals and fractions, to demonstrate the application of these concepts in more complex scenarios.

What is the result of distributing 3 to the terms inside the parentheses in the expression 3(x + 5) - 4?

• 3x + 15 - 4

• 3x + 5 - 4

• x + 20

• 3x + 9

After distributing and combining like terms, what is the simplified form of 3x + 15 - 4?

• 3x + 9

• 18x - 4

• 3x + 19

• 3x + 11

In the expression 3y - 6 + 5, what is the final simplified form?

• 8y - 1

• 3y - 11

• 3y + 1

• 3y - 1

What is the result of applying the distributive property to 3(4 + k) - 5k?

• 12 + 3k - 5k

• 12k - 2k

• 12 + 8k

• 7k + 12

How do you combine the terms 3k and -5k?

• -2k

• 8k

• 2k

• -8k

What is the simplified form of the expression 3m + 15 - 4?

• 3m + 11

• 3m + 19

• 18m - 4

• 3m + 9

What is the result of distributing -2 to the terms inside the parentheses in the expression -2(y - 1) + 7y?

• -9y + 2

• -2y - 1 + 7y

• -2y + 2 + 7y

• 5y + 1

After simplifying -2y + 2 + 7y, what is the final expression?

• 9y + 2

• -5y + 2

• 5y - 2

• 5y + 2

What is the result of distributing 6.2 to the terms inside the parentheses in the expression 6.2(3d + 2.5) + d?

• 18.6d + 15.5 + d

• 18.6d + 2.5d + d

• 9.3d + 15.5

• 6.2d + 7.5 + d

What is the final simplified form of the expression 5.4x + 8.1 - 4.6?

• 13.5x - 4.6

• 5.4x + 4.5

• 5.4x + 3.5

• 5.4x - 4.6