Grade 6 | Unit 6 | Lesson 11: The Distributive Property, Part 3 | Practice Problems

For each expression, use the distributive property to write an equivalent expression.

• 4x + 4 \boldcdot 2

• 6x + 8x

• 8x + 4 \boldcdot 3

• 6x + 6y + 6z

• Expressions that are equivalent to these are also acceptable, for example, 4x+8 for the first one.

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.

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)

The area of a rectangle is 30 + 12x. List at least 3 possibilities for the length and width of the rectangle.

Select all the expressions that are equivalent to \frac{1}{2}z.

• z + z

• z \div 2

• z \boldcdot z

• \frac{1}{4}z + \frac{1}{4} z

• 2z

What is the perimeter of a square with side length: 3 cm? 7 cm? s cm? If the perimeter of a square is 360 cm, what is its side length? What is the area of a square with side length: 3 cm? 7 cm? s cm? If the area of a square is 121 cm2, what is its side length?

Solve each equation. 10=4a, 5b=17.5, 1.036=10c, 0.6d=1.8, 15=0.1e