Simplifying Algebraic Expressions with Parentheses

What is the first step in simplifying an algebraic expression with parentheses?

• Combine like terms

• Distribute the terms inside the parentheses

• Add all constants

• Multiply all variables

In the expression 4 + 2(n + 6), what do you get after distributing the 2?

• 2n + 16

• 2n + 6

• 2n + 18

• 2n + 12

After distributing and combining like terms in 4 + 2(n + 6), what is the final simplified expression?

• 4n + 12

• 4n + 16

• 2n + 16

• 2n + 12

In the expression 6(3x + 5) - 9x, what is the result of distributing the 6?

• 18x - 30

• 18x - 9x

• 18x + 30

• 18x + 5

What is the final simplified expression for 6(3x + 5) - 9x?

• 9x - 30

• 18x - 9x

• 9x + 30

• 18x + 30

In the expression 23 + 3(8y - 10), what do you get after distributing the 3?

• 24y + 10

• 24y - 10

• 24y + 30

• 24y - 30

What is the final simplified expression for 23 + 3(8y - 10)?

• 24y - 7

• 24y - 30

• 24y + 30

• 24y + 7

In the expression -8(-C - D) - 5D, what is the result of distributing the -8?

• 8C - 5D

• 8C + 8D

• 8C + 5D

• 8C - 8D

What is the final simplified expression for -8(-C - D) - 5D?

• 8C + 3D

• 8C - 3D

• 8C - 5D

• 8C + 5D

What is the result of combining 8D and -5D in the expression -8(-C - D) - 5D?

• 3D

• 13D

• 5D

• 8D