Lesson 11: The Distributive Property (Part 3) | Unit 6: Expressions and Equations

Multiple Choice

For the expression $$4(x+2)$$ , use the distributive property to write an equivalent expression.

• 8 + x
• 2(x + 2)
• 4x + 4
• 4x + 8

Multiple Choice

For the expression $$(6+8)\cdot x$$ , use the distributive property to write an equivalent expression.

• 6*x + 8*x
• 6x + 8
• 14x
• (6+8)x

Multiple Choice

For the expression $$4(2x+3)$$ , use the distributive property to write an equivalent expression.

• 6x + 9
• 8x + 12
• 4x + 6
• 8x + 6

Multiple Choice

For the expression $$6(x+y+z)$$ , use the distributive property to write an equivalent expression.

• 6(x+y) + z
• 6x + 6y
• x + y + z + 6
• 6x + 6y + 6z

Open Ended

Priya rewrites the expression $$8y - 24$$ as $$8(y-3)$$ . Han rewrites $$8y-24$$ as $$2(4y-12)$$ . Are Priya's and Han's expressions each equivalent to $$8y-24$$ ? Explain your reasoning.

Multiple Select

Select **all** the expressions that are equivalent to $$16x + 36$$ .

• $$16(x+20)$$

• $$x(16+36)$$

• $$4(4x+9)$$

• $$2(8x+18)$$

• $$2(8x+36)$$

Multiple Choice

The area of a rectangle is $$30 + 12x$$ square units. Which of the following could be a possible pair of length and width of the rectangle?

• (6 + 4x, 5)
• (15, 2)
• (5 + 3x, 6)
• (3 + 2x, 10)

Multiple Choice

Which of the following are two different ways to rewrite $$3xy + 6yz$$ using the distributive property?

• 3y(x + 2z) and 3z(2y + 2x)
• 6y(z + x)
• 3xy(1 + 2z)
• 3x(2y + 2z)

Multiple Select

Select **all** the expressions that are equivalent to $$5x +30x - 15x$$ .

• $$5(x + 6x-3x)$$

• $$(5+30-15)\cdot x$$

• $$x(5+30x-15x)$$

• $$5x(1+6-3)$$

• $$5(x+30x-15x)$$

Multiple Choice

Use the distributive property to write the sum $$2a+7a$$ as a product with two factors.

• 5a
• 10a
• 9a
• 3a