Distributing and Combining Like Terms Explained

This video tutorial explains how to solve problems involving distributing and combining like terms. It emphasizes the importance of following the order of operations, distributing first, and then combining like terms. The video provides multiple examples, including handling negative numbers and implicit distribution, to illustrate these concepts. Each example demonstrates the step-by-step process of distributing terms across parentheses and combining like terms to simplify expressions.

What operation do we perform first according to the order of operations?

• Subtraction

• Addition

• Division

• Multiplication

In the expression 5 + 3 * (2x - 4), what is the result of distributing 3 through the parentheses?

• 6x - 12

• 5 + 6x - 12

• 5 + 3x - 4

• 5 + 2x - 4

After distributing in the expression 5 + 3 * (2x - 4), what is the next step?

• Subtract

• Divide

• Distribute again

• Combine like terms

In the expression 3x - 2 * (4x - 5), what is the result of distributing -2 through the parentheses?

• -8x + 10

• -8x - 10

• 8x + 10

• 8x - 10

What are the like terms in the expression 3x - 2 * (4x - 5)?

• 3x and -5

• 3x and 10

• 3x and -8x

• 3x and -2

In the expression 2 * (5x - 8) - 6 * (4x + 3), what is the result of distributing 2 through the first parentheses?

• 5x - 8

• 5x + 8

• 10x + 16

• 10x - 16

What is the result of distributing -6 through the second parentheses in the expression 2 * (5x - 8) - 6 * (4x + 3)?

• -24x + 18

• -24x - 18

• 24x + 18

• 24x - 18

In the expression 4 * (3x - 8) - (2x - 7), what is the result of distributing 4 through the first parentheses?

• 3x + 8

• 12x - 32

• 12x + 32

• 3x - 8

What is the result of distributing -1 through the second parentheses in the expression 4 * (3x - 8) - (2x - 7)?

• -2x + 7

• -2x - 7

• 2x - 7

• 2x + 7

What is the final simplified form of the expression 4 * (3x - 8) - (2x - 7)?

• 12x + 25

• 12x - 25

• 10x + 25

• 10x - 25