Distributing and Combining Like Terms Explained

The video tutorial covers essential math skills, focusing on distributing numbers and combining like terms. It begins with an introduction to these concepts, followed by detailed explanations and examples. The instructor demonstrates how to distribute numbers across terms and how to identify and combine like terms. The video includes practice problems to reinforce learning and concludes with a review of the key concepts. These skills are crucial for understanding math at various levels and are applicable in any math course.

Why are the skills of distributing and combining like terms essential in mathematics?

• They are not very important.

• They are essential for all future math courses.

• They are only used in basic math.

• They are only used in advanced math.

What is the result of distributing -3 to the terms inside the parentheses: -3(x + 2)?

• 3x - 6

• -3x + 6

• -3x - 6

• 3x + 6

When combining like terms, what should you do with the coefficients of the terms?

• Divide them

• Multiply them

• Ignore them

• Add or subtract them

What is the result of combining the like terms in the expression: -3x + 6x + 4?

• 9x + 4

• 3x - 4

• 3x + 4

• -3x + 4

In the expression 4(2W + 6) - 4W, what is the result after distributing and combining like terms?

• 4W + 6

• 8W + 6

• 4W + 24

• 8W + 24

What is the result of distributing 2 to the terms inside the parentheses: 2(4 - 3x) + 7?

• 8 + 6x + 7

• 8 - 6x + 7

• 8 - 6x - 7

• 8 + 6x - 7

What is the result of combining the like terms in the expression: 3y - 7y + 4x + 2?

• 4y + 4x - 2

• -4y + 4x + 2

• 4y + 4x + 2

• -4y + 4x - 2

What happens when you combine 2A - 2A in an expression?

• The terms cancel out to zero

• The terms add up to 4A

• The terms subtract to -4A

• The terms remain unchanged

What is the result of distributing -5 to the terms inside the parentheses: -5(5x + 7) - 3?

• -25x - 35 - 3

• 25x + 35 - 3

• -25x + 35 - 3

• 25x - 35 - 3

What is the result of combining the like terms in the expression: -3G - G - 3H - 15?

• 4G + 3H - 15

• -4G + 3H - 15

• 4G - 3H - 15

• -4G - 3H - 15