Distributive Property:

Recall the distributive property of multiplication over addition . . . symbolically: a × (b + c) = a × b + a × c and pictorially (rectangular array area model): b c a a × b a × c

using your mental math skills . . . An example: 6 x 13 using your mental math skills . . . symbolically: 6 × (10 + 3) = 6 × 10 + 6 × 3 and pictorially (rectangular array area model): 10 3 6 6 × 10 6 × 3

Use the Distributive Property to write as an equivalent expression Use the Distributive Property to write as an equivalent expression. Then evaluate the expression. Multiply. Add. Answer: 52 Example 1-1a

Use the Distributive Property to write as an equivalent expression Use the Distributive Property to write as an equivalent expression. Then evaluate the expression. ***It doesn’t matter which side of the parenthesis the number is on. The property works the same. Multiply. Add. Answer: 30 Example 1-1b

Use the Distributive Property to write as an equivalent algebraic expression. Simplify. Answer: Example 1-3a

Use the Distributive Property to write as an equivalent algebraic expression. Simplify. Answer: Example 1-3b

Use the Distributive Property to write each expression as an equivalent algebraic expression. Answer: Answer: Example 1-3c

Practice Time

1) Which of the following expressions shows the distributive property for 5 x (3 + 7)? (5 x 3) x (5 x 7) (5 x 3) + (5 x 7)

1) Which of the following expressions shows the distributive property for 5 x (3 + 7)? Correct! (5 x 3) + (5 x 7)

2) Which of the following expressions shows the distributive property for 3 x (9 + 4) ? (3 x 9) + (3 x 4) (3 + 9) + (3 + 4) (3 + 9) x (3 + 4)

2) Which of the following expressions shows the distributive property for 3 x (9 + 4) ? (3 x 9) + (3 x 4) Correct!

3) Which of the following expressions is equivalent to: 2 + 3 + 2 + 3 and shows the distributive property. 2 + 2 + 3 + 3 2 x (2 + 3) 3 x (2 + 3)

3) Which of the following expressions is equivalent to: 2 + 3 + 2 + 3 and uses the distributive property. 2 x (2 + 3) Correct!

4) Which of the following expressions is equivalent to: (4 x 3) + (4 x 8) ?

4) Which of the following expressions is equivalent to: (4 x 3) + (4 x 8) ? Correct! 4 x (3 + 8)

5) Which of the following expressions is equivalent to: (5 x 9) + (5 x 3) ?

5) Which of the following expressions is equivalent to: (5 x 9) + (5 x 3) ? Correct!

11) Which expression is equivalent to 3(x + 7)?

11) Which expression is equivalent to 3(x + 7)? Correct! 3x + 21

12) Which expression is equivalent to 4(x + 5)?

12) Which expression is equivalent to 4(x + 5)? Correct!

13) Which expression is equivalent to 8(x + 2)?

13) Which expression is equivalent to 8(x + 2)? Correct!

14) Which expression is equivalent to 2(x + 3)?

14) Which expression is equivalent to 2(x + 3)? Correct!

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