Factor and Expand Expressions

Factor the expression: 21x + 9

• 3(7x +3)

• 3(3x + 7)

• 9(21x+1)

• 21(x+9)

Factor the expression using the GCF: 8x+36.

• 8(x + 4)

• 2(4x + 18)

• 2(4x + 36)

• 4(2x + 9)

Factor the expression using the GCF: 28y - 32

• 4(7y + 8)

• 4(7y - 8)

• 2(14y + 16)

• (2(14y - 16)

What are possible dimensions of the rectangle? Choose all that apply.

• 3(9x - 3)

• 3(9x +3)

• 9(3x + 1)

• 9(3x - 1)

Write the expanded form of the expression.

5​(6x - 2​)

Answer explanation

To expand the expression 5(6x - 2), distribute 5 to both terms inside the parentheses. This gives us 30x - 10. Therefore, the correct expanded form is 30x - 10.

Expand THIS expression now: 8 ( 7h + 3k + 2 )

• 56h + 24k + 16

• 56h + 3k + 2

• 7h + 24k + 16

• 64h + 24k + 2

Expand the expression:
12(b + 9)

• 2b + 108

• 12b + 9

• 12b + 108

• 120b

Expand and simplify:

2(n + m)

• 2n + 2m

• 2 + n + m

• 2nm

• 2n + m

Expand the following expression: 4(2m + 5)

• 8m + 5

• 2m + 20

• 8m + 20

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Write the expanded form of the expression.

5​(6x - 2​)

Answer explanation

To expand the expression 5(6x - 2), distribute 5 to both terms inside the parentheses. This gives us 30x - 10. Therefore, the correct expanded form is 30x - 10.