Distributive Property and Combining Like Terms Explained

The video tutorial covers the distributive property in algebra, demonstrating how to simplify algebraic expressions by distributing multiplication over addition or subtraction and combining like terms. The instructor provides multiple examples, each progressively more complex, to illustrate the process. Students are encouraged to practice with provided problems and check their solutions.

What is the first step in applying the distributive property to the expression 5(x + 4)?

• Add 5 to x and 4

• Multiply 5 by x and 4

• Subtract 5 from x and 4

• Divide 5 by x and 4

After distributing 5 in the expression 5(x + 4), what is the resulting expression?

• 5 + 4x

• 5x + 20

• 5x + 4

• 5 + 20x

What is the result of combining the like terms in the expression 5x + 3x?

• 5x

• 15x

• 8x

• 2x

In the expression 2x - x, what is the simplified form?

• x

• 3x

• 0

• 2x

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

• x + y

• x + 2y

• 3x + 2y

• x - y

What is the result of distributing 2 to the expression 2(3x - y)?

• 6x - 2y

• 5x - y

• 5x + y

• 6x + 2y

In the expression 4(y + 2x), what is the result after applying the distributive property?

• 8y + 4x

• 4y + 4x

• 4y + 8x

• 4y + 2x

What is the simplified form of the expression 8x + 1x?

• 9x

• 7x

• 8x

• 10x

What is the final simplified form of the expression 2x + 3(x - 5)?

• 5x - 15

• 5x - 5

• 5x - 15

• 5x - 10

What is the result of combining like terms in the expression 2x + 3x + 12 - 15?

• 5x - 3

• 5x + 3

• 5x - 15

• 5x + 15