Grade 6 1.9 Creating Equivalent Expressions Distributing Factor

Expand and simplify: 4(x + 3)

What is the factored form of 18x + 12?

• 6(3x + 2)

• 6(x + 3)

• 2(x + 6)

• 9(x + 2)

Expand and simplify: 3(x + 5) + 2x

What is the factored form of 6x + 15 + 3x?

• 3(3x + 5)

• 3x + 3(5)

• 9(x + 5)

• 3(5x + 5)

Which shows the first correct step in simplifying 2(x + 4) + 3?

• 2x + 4 + 3

• 2x + 4 + 3

• 2x + 8 + 3

• 2x + 7

Expand and simplify:

3(2x − 1) + 5x

What is the GCF and factored form of 12x + 16?

• GCF = 6

  6(2x + 3)

• GCF = 4

  4(3x + 4)

• GCF = 2

  2(6x + 8)

• GCF = 8

  8(1.5x + 2)

Expand and simplify: 2x + 3(x + 4)

A student says: 5(x + 2) = 5x + 2.

Is this correct?

• Yes, because 5 was distributed to x and 2.

• No, the student forgot to multiply 5 by 2.

• No, you only distribute to the x.

• Yes, because addition doesn't need distribution.

Expand and simplify: 4x + 3(2x − 1)