Exploring the Distributive Property and Like Terms

The video tutorial covers two main algebraic concepts: the distributive property and combining like terms. It begins with an introduction to these concepts, followed by a detailed explanation of the distributive property, including examples and practice problems. The tutorial then moves on to combining like terms, explaining the concept with examples and practice exercises. The lesson concludes with a review of the practice problems and a summary of the key points discussed.

What is the distributive property?

• Dividing each number inside the parentheses by the number outside.

• Adding numbers inside the parentheses.

• Multiplying each number inside the parentheses by the number outside.

• Subtracting numbers inside the parentheses.

In the expression 3(7 + 2), what is the first step according to the distributive property?

• Subtract 2 from 7.

• Multiply 3 by 7 and 3 by 2.

• Divide 7 by 2.

• Add 7 and 2.

Why is the distributive property important in algebra?

• It is used for subtraction.

• It simplifies expressions with variables.

• It is only used in geometry.

• It helps in adding numbers quickly.

What are like terms?

• Terms with no variables.

• Terms with different variables.

• Terms with different exponents.

• Terms with the same variable and exponent.

Which of the following are like terms?

• 2 and 3x

• 2a and 3b

• 2x and 3x

• 2x and 3y

How do you combine like terms in the expression 2x + 3x?

• Multiply the coefficients.

• Subtract the coefficients.

• Add the coefficients and keep the variable.

• Divide the coefficients.

In the expression 4a + 5 + a, what is the result after combining like terms?

• 5a + 5

• 5a

• 4a + 6

• 4a + a

What is the result of distributing 2 in the expression 2(3x + 5)?

• 3x + 5

• 6x + 5

• 3x + 10

• 6x + 10

In the expression 7(a + 2), what is the coefficient of 'a' after distribution?

• 2

• 7

• 14

• 1

What is the simplified form of the expression 2x + 7x + 3?

• 2x + 10

• 9x + 3

• 7x + 3

• 9x