Lesson 09: The Distributive Property (Part 1) | Unit 6: Expressions and Equations

Multiple Select

Select **all** the expressions that represent the area of the large, outer rectangle.

• $$5 \cdot 2 + 4$$

• $$5 \cdot 6$$

• $$5 \cdot 2 + 5 \cdot 4$$

• $$5(2+4)$$

• $$5 \cdot 2 \cdot 4$$

Open Ended

Explain how the expression $$50\cdot(10+9)$$ is equivalent to $$50 \cdot 19$$ . Use the diagram if needed.

Open Ended

Explain how the expression $$50\cdot10+50\cdot9$$ is equivalent to $$50 \cdot 19$$ . Use the diagram if needed.

Multiple Choice

Complete the calculation using the distributive property for the expression: $$\displaystyle 98 \cdot 24$$ $$\displaystyle (100-2) \cdot 24$$ .

• 2352
• 2100
• 2400
• 1920

Multiple Choice

What is the result of the calculation using the distributive property for the expression: $$\displaystyle 21 \cdot 15$$ $$\displaystyle (20 + 1) \cdot 15$$ ?

• 285
• 330
• 300
• 315

Multiple Choice

Complete the calculation using the distributive property for the expression: $$\displaystyle 0.51 \cdot 40$$ $$\displaystyle (0.5 + 0.01) \cdot 40$$ .

• 20.0
• 19.5
• 20.4
• 21.0

Multiple Select

Select **all** the expressions that represent the area of the shaded rectangle on the left side of the figure.

• $$15.5 \cdot 12 + 4.5 \cdot 12$$

• $$20 \cdot 12 - 4.5\cdot12$$

• $$12(20+4.5)$$

• $$20 \cdot 12 \cdot 15.5$$

• $$15.5 \cdot 12$$

Multiple Choice

Use the distributive property to write an equivalent expression for $$35\cdot 91-35\cdot 89$$ .

• 35 * (91 + 89)
• 35 * (91 - 90)
• 35 * (89 - 91)
• 35 * (91 - 89)

Multiple Choice

Use the distributive property to write an equivalent expression for $$22\cdot 87+22\cdot 13$$ .

• 22 * (87 + 13)
• 22 * (87 - 13)
• (22 + 87) * 13
• 22 + (87 + 13)

Multiple Choice

Use the distributive property to write an equivalent expression for $$\frac{9}{11}\cdot \frac{7}{10}-\frac{9}{11}\cdot \frac{3}{10}$$ .

• $\frac{9}{11} \cdot \left( \frac{10}{10} - \frac{3}{10} \right)$
• $\frac{9}{11} \cdot \left( \frac{7}{10} + \frac{3}{10} \right)$
• \frac{9}{11} \cdot \left( \frac{7}{10} - \frac{3}{10} \right)
• $\frac{9}{11} \cdot \left( \frac{7}{10} - \frac{1}{10} \right)$