Expand and Factor Expressions

What is the greatest common factor of 20 and 36?

• 5

• 2

• 6

• 4

Tags

CCSS.6.NS.B.4

What is the greatest common factor between 12 and 36?

• 4

• 6

• 12

• 18

Tags

CCSS.6.NS.B.4

Factor the expression: 21x + 9

• 3(7x +3)

• 3(3x + 7)

• 9(21x+1)

• 21(x+9)

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.NS.B.4

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

• 8(x + 4)

• 2(4x + 18)

• 2(4x + 36)

• 4(2x + 9)

Tags

CCSS.6.EE.A.3

CCSS.6.NS.B.4

Factor the expression using the GCF: 28y - 32

• 4(7y + 8)

• 4(7y - 8)

• 2(14y + 16)

• (2(14y - 16)

Tags

CCSS.6.EE.A.3

CCSS.6.NS.B.4

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

• 3(9x - 3)

• 3(9x +3)

• 9(3x + 1)

• 9(3x - 1)

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.EE.B.6

CCSS.6.G.A.1

Factor the expression 14x+28y+21 using the GCF.

• 2(7x + 14y + 11)

• 7(2x + 4y + 3)

• 7(2x - 4y + 3)

• 4(3x + 7y + 5)

Tags

CCSS.6.EE.A.3

CCSS.6.NS.B.4

Use the distributive property to expand the expression: 2(y + 5x)

• 2y + 5x

• 2y + 10x

• 2y + 7x

• y + 10x

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

A landscaper is adding a stone path around a rectangular patio. The width of the patio, in feet, is represented by x. The length of the patio is 6 feet more than twice the width, as shown. Which expressions could represent the perimeter of the patio? Select all that apply.

• 6x + 12

• x(2x+ 6)

• 2(3x + 6)

• x + 2x + 6 + x + 2x + 6

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.EE.B.6

CCSS.6.EE.C.9

Factor the expression. -18y-27.

There are two correct answers!

• -9(2y + 3)

• 9(2y + 3)

• 9(-2y - 3)

• -9(-2y - 3)

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.NS.B.4