Distributing and Combining Like Terms in Algebra

This video tutorial explains how to simplify algebraic expressions by distributing and combining like terms. It emphasizes the importance of following the order of operations, where multiplication precedes addition. The tutorial provides two examples to demonstrate the process: distributing numbers across parentheses and then combining like terms. The video concludes by reinforcing the method of distributing first and combining second to simplify expressions effectively.

What is the primary focus of this video?

• Solving quadratic equations

• Factoring polynomials

• Simplifying algebraic expressions

• Graphing linear equations

According to the order of operations, which operation should be performed first?

• Subtraction

• Multiplication

• Division

• Addition

In the first example, what is the result of distributing 4 through the parentheses?

• 4x + 7

• 7x - 4

• 12x - 28

• 3x + 4

What do you get when you distribute -7 through the second set of parentheses in the first example?

• 14x - 7

• 14x + 7

• -14x - 7

• -14x + 7

After distributing in the first example, what is the result of combining 12x and -14x?

• -26x

• -2x

• 2x

• 26x

In the second example, what is the result of distributing 2 through the parentheses?

• 14x + 6

• 14x - 6

• 2x - 3

• 7x + 3

What should you assume if there is no number written in front of a term in algebra?

• The number -1

• The number 0

• The number 1

• The number 2

What is the result of distributing -1 through the parentheses in the second example?

• -8x + 9

• 8x - 9

• 8x + 9

• -8x - 9

After distributing in the second example, what is the result of combining 14x and -8x?

• 8x

• 6x

• 22x

• -6x

What is the final result of combining -6 and -9 in the second example?

• -3

• 15

• 3

• -15