Simplifying Algebraic Expressions: Distributing and Combining Like Terms

What is the first step in simplifying algebraic expressions?

• Rewriting the expression

• Distributing to eliminate parentheses

• Factoring the expression

• Combining like terms

In Example 1, what is the result of distributing 6 to 6x?

• 30x

• 36x

• 48x

• 42x

After distributing in Example 1, what are the like terms that need to be combined?

• 8x and -40

• 30 and -40

• 36x and 30

• 36x and 8x

In Example 2, what is the result of distributing -2 to -3y?

• 6y

• 9y

• -6y

• -9y

What is the final simplified form of the expression in Example 2?

• -1y^2 + 8y - 24

• 1y^2 + 14y - 24

• 1y^2 + 8y - 24

• -1y^2 + 14y - 24

In Example 3, what is the result of distributing 1/2m to 14?

• 7m

• 28m

• 14m

• 1/2m

What is the final simplified form of the expression in Example 3?

• -4m^2 + 5m + 4

• -4m^2 + 7m + 4

• 4m^2 + 5m + 4

• 4m^2 + 7m + 4

In Example 4, what is the result of distributing 5 to 2x?

• 7x

• 10x

• 12x

• 15x

What is the final simplified form of the expression in Example 4?

• 22x + 1

• 20x + 1

• 20x - 1

• 22x - 1

In Example 5, what is the result of distributing -x to -3x?

• -x^2

• 3x^2

• x^2

• -3x^2