Simplifying and Factoring Algebraic Expressions

Simplify the expression, then factor if possible: 7v + 2 + 12 + 2v

• 23

• 23(v+1)

• 2(3v + 7)

• 9v + 14

Find the sum: (3w - 8) + (-6w - 4)

• -3w + 12

• 9w + 12

• -3w + - 12

• -9w - 12

What is the simplest form of this expression
4x-6a+5a-2x

• 2x-1a

• 21xa

• 6x+11a

Simplify 3x + 2y - 2x + 3y.

• x + 5y

• 5x + 5y

• 5x + y

• 5x - 5y

Term for combining like terms.

• Simplifying

• Factoring

• 1 + 2x

• x + 2

• x - 2

• 1 - 2x

Combine like terms: 8x³y + 3x²y + 4xy + 5x²y + 2xy + 7x²y

• 8x³y + 8x²y + 2xy

• 11x³y + 15x²y + 8xy

• 8x³y + 15x²y + 6xy

• 23x²y + 6xy

2x+6-7x+1

• -5x+7

• 4x

• 14x+7

• -5x+5

• -4x-6

Simplify using fewer terms.

7y + 9 - 5y -3

• 12y + 6

• 12y + 12

• 2y + 6

• 2y - 12

(2x - 8) + (7x - 1) + (-5x + 6)

• 4x - 3

• 4x - 5

• 3x - 1

• 5x - 2