Factoring and Expanding Equation

Rewrite the following expression in simplified, expanded form.

Rewrite the following expression in factored form.

Rewrite the following expression in expanded form.

Using the following tape diagram, solve for x.

Mathematical Equivalence

ON

Answer explanation

2(x+4)=50

Divide by 2.

x+4 = 25

Subtract 4 from both sides.

x = 21

2(x+4)=50

Distribute the 2 to (x+4)

2x+8=50

Subtract 8 from both sides.

2x = 42

Divide both sides by 2.

x=21

• F

• G

• H

• J

Match each expression to its factored form

• (3x-1)(2x+1)

• 2(x+3)(x-3)

• (x+3)²

• 3(x+2)²

Factor the following completely:

20x³ + 15x²

​ (a)   (​ (b)   )

• 5x²

• 4x + 3

• 15x

• 20x²

• 2x + 3

• 5x

• 4x² + 3

Match each polynomial to its factored form:

• (x-4)(x+1)

• (x+4)(x+1)

• (x+4)(x-1)

• (x-4)(x-1)

Factor:

5k³ + 7k² + k

• 5k(k² +2k + 1)

• 7k(5k² +k + 1)

• k(5k² + 7k + 1)

• 5k³ + 7k² + k

Factor each expression: 32m - 40

• 2(16m-20)

• 4(8m-10)

• 8(4m-5)

• none of those