Factoring and Simplifying Expressions

This video tutorial covers the final lesson in Math 7 Unit 6, focusing on combining like terms and understanding expressions. It begins with an introduction to the lesson and a problem setup, followed by exercises on matching equivalent expressions. The lesson then delves into recognizing structure and factoring in mathematical expressions. Finally, the video addresses homework problems, providing strategies for solving them effectively.

What is the result of distributing the negative sign in the expression 8 - 12 - 6 + 4?

• 8 - 12 - 6 - 4

• 8 + 12 - 6 + 4

• 8 + 12 + 6 + 4

• 8 - 12 + 6 - 4

Which expression is equivalent to 9x + 5y - 3x - 7y?

• 9x + 5y + 3x + 7y

• 9x - 3x + 5y - 7y

• 6x - 2y

• 12x + 12y

Which of the following is a correct step in factoring the expression 9x + 3x + 5y + 7y?

• Factor out a 9 to get 9(x + y)

• Factor out a 3 to get 3(x + y)

• Factor out a 12 to get 12(x + y)

• Factor out a 5 to get 5(x + y)

How can you simplify the expression 3 * 15 + 4 * 15 - 5 * 15?

• 15 * (3 - 4 - 5)

• 15 * (3 + 4 - 5)

• 15 * (3 + 4 + 5)

• 15 * (3 - 4 + 5)

What is the result of factoring the expression x - 2 from x - 2 + x - 2?

• 2(x - 2)

• x - 2

• 3(x - 2)

• x + 2

In the expression 5x + 13, what is the result of distributing 2 * (5/2)?

• 15x

• 20x

• 10x

• 5x

What is the simplified form of the expression 350 - x - x - 50 + 75?

• 375 - 2x

• 300 + 2x

• 375 + 2x

• 300 - 2x

What is the simplified form of the expression 6x + 24 - 2x - 10?

• 4x + 24

• 6x + 24

• 6x + 14

• 4x + 14

If 11 + x is positive and 4 + x is negative, what is a possible value for x?

• -3

• -10

• -5

• -7

If -5 + z is positive and -6 + z is negative, what is a possible value for z?

• 6.5

• 5.5

• 7.5

• 4.5