Factoring and Simplifying Expressions

This video tutorial covers Math 7 Unit 6 Lesson 22, focusing on combining like terms and matching equivalent expressions. The lesson includes distributing negatives, factoring, and simplifying expressions. Students are guided through various problems, including matching expressions in columns, understanding structure and factoring, and solving homework problems. The tutorial emphasizes the importance of recognizing patterns and using strategies to simplify complex problems.

What is the main focus of Math 7 Unit 6 Lesson 22?

• Understanding geometric shapes

• Graphing linear equations

• Combining like terms

• Solving quadratic equations

When distributing a negative sign through an expression, what happens to the terms?

• They are multiplied by zero

• They remain unchanged

• They become positive

• Their signs are reversed

Which expression is equivalent to 8 - 12 - 6 + 4 after distributing the negative sign?

• 8 + 12 + 6 + 4

• 8 - 12 + 6 - 4

• 8 + 12 - 6 + 4

• 8 - 12 - 6 - 4

How can you match expressions in column A with those in column B?

• By guessing

• By comparing coefficients

• By checking for equivalent expressions

• By using a calculator

What is the result of factoring 9x + 3x + 5y + 7y?

• 12x + 12y

• 12(x + y)

• 9x + 3x + 5y + 7y

• x + y

What is the purpose of seeing structure in expressions?

• To make expressions more complex

• To simplify and factor expressions

• To add more terms

• To change the variable

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

• By multiplying each term by 2

• By factoring out 15

• By dividing each term by 3

• By adding all terms directly

What is the result of factoring out an X from 3x + 4x - 5x?

• 3x + 4x - 5x

• x(3 + 4 - 5)

• x + 2

• 2x

What is the correct way to solve for x if 11 + x > 0 and 4 + x < 0?

• x < 11 and x > 4

• x > 11 and x < 4

• x < -11 and x > -4

• x > -11 and x < -4

If -5 + z > 0 and -6 + z < 0, what is a possible value for z?

• z = 7.5

• z = 5.5

• z = 6.5

• z = 4.5