find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

22
THE DISTRIBUTIVE PROPERTY DAY 2

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One Way: 5(10) +5(4) 5 ft 10 ft+ 4 ft 5 ft Find the area of each rectangle. 50 ft 2 20 ft 2

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Page 1: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

THE DISTRIBUTIVE PROPERTY DAY 2

Page 2: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

Find the total area of the rectangles using two different expressions

5 ft

10 ft + 4 ft

5 ft

Page 3: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

One Way:5(10) +5(4)

5 ft

10 ft + 4 ft

5 ft

Find the area of each rectangle.

50 ft2 20 ft2

Page 4: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

5(10) +5(4)50 +20 = 70

5 ft

14 ft

Now put the two rectangles back together.

50 sq ft + 20 sq ft

Page 5: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

Second way:5(10+4)

5(14) = 70ft2

5 ft

10 + 4 ft =14 ft

70 ft2

Page 6: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

Review

)5(3 x )(3 x )5(3

153 x

Page 7: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

Review

)3(6 x )(6 x

186 x

)3(6

Page 8: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

)2(3 x )(3 x

)6(3 x

Review

)2)(3(

63 xOr

Page 9: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

1) Which of the following expressions shows the distributive property for

5(3 + 7)?

C. (5 x 3) + (5 x 7)

B. (5 x 3) x (5 x 7)

A. (5 + 3) x (5 + 7)

Page 10: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

Which of the following expressions shows the distributive property for

3(9 + 4) ?

A. (3 x 9) + (3 x 4)

B. (3 + 9) + (3 + 4)

C. (3 + 9) x (3 + 4)

Page 11: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

Which of the following expressions is equivalent to:2( 3) + 2( 3)

B. 2 (3 + 3)

A. 2 + 2 + 3 + 3

C. 3(2 + 3)

Page 12: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

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

C. 4 (3 + 8)

B. 8 (3 + 4)

A. 3 (4 + 8)

Page 13: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

Which of the following expressions is equivalent to:

(5 x 9) – (5 x 3) ?

C. 9 (3 – 5)

B. 5 (9 – 3)

A. 3 (9 – 5)

Page 14: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

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

C. 3x + 7

B. x + 21

A. x + 10

D. 3x + 21

Page 15: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

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

C. 4x + 5

B. 4x + 20

A. x + 9

D. 9x

Page 16: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

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

C. 8x – 16

B. 8x – 2

A. 10x

D. 8x – 10

Page 17: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

Which expression is equivalent to 2(x – 3)?

C. 2x – 3

B. 2x – 5

A. 2x – 6

D. 2x – 2

Page 18: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

Now we will use the distributive property first, then combine like terms second.

Page 19: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

1. Simplify 6(5 + n) – 2n.

Distributive Property.

Multiply.

6(5 + n) – 2n

30 + 6n – 2n6(5) + 6(n) – 2n

30 + 4n Combine coefficients 6 – 2 = 4.

Page 20: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

2. Simplify 3(c + 7) – c.

Distributive Property.

Multiply.

3(c + 7) – c

3c + 21 – c3(c) + 3(7) – c

2c + 21 Combine coefficients 3 – 1 = 2.

Page 21: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

3. 4(3x + 6) 7x

4. 6(x + 5) + 3x

Simplify.

Distributive Property.Multiply.Combine coefficients 12 - 7 = 5.

4(3x) + 4(6) – 7x12x + 24 – 7x5x + 24

Distributive Property.Multiply.Combine coefficients 6 + 3 = 9.

6(x) + 6(5) + 3x6x + 30 + 3x9x + 30

Page 22: Find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft

•Make sure to practice because your skills check will be tomorrow!