Factoring and Expanding Equation

Rewrite the following expression in simplified, expanded form.

Tags

CCSS.6.EE.A.3

Rewrite the following expression in factored form.

Tags

CCSS.7.EE.A.1

Rewrite the following expression in expanded form.

Tags

CCSS.6.EE.A.3

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

Tags

CCSS.7.EE.B.4A

• F

• G

• H

• J

Tags

CCSS.HSA.APR.A.1

Match each expression to its factored form

• 3(x+2)²

• (x+3)²

• (3x-1)(2x+1)

• 2(x+3)(x-3)

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

Tags

CCSS.7.EE.A.1