find the total area of the rectangles using two different expressions 5 ft 10 ft+ 4 ft 5 ft
DESCRIPTION
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 2TRANSCRIPT
THE DISTRIBUTIVE PROPERTY DAY 2
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
5(10) +5(4)50 +20 = 70
5 ft
14 ft
Now put the two rectangles back together.
50 sq ft + 20 sq ft
Second way:5(10+4)
5(14) = 70ft2
5 ft
10 + 4 ft =14 ft
70 ft2
Review
)5(3 x )(3 x )5(3
153 x
Review
)3(6 x )(6 x
186 x
)3(6
)2(3 x )(3 x
)6(3 x
Review
)2)(3(
63 xOr
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)
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)
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)
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)
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)
11) Which expression is equivalent to 3(x + 7)?
C. 3x + 7
B. x + 21
A. x + 10
D. 3x + 21
12) Which expression is equivalent to 4(x + 5)?
C. 4x + 5
B. 4x + 20
A. x + 9
D. 9x
13) Which expression is equivalent to 8(x – 2)?
C. 8x – 16
B. 8x – 2
A. 10x
D. 8x – 10
Which expression is equivalent to 2(x – 3)?
C. 2x – 3
B. 2x – 5
A. 2x – 6
D. 2x – 2
Now we will use the distributive property first, then combine like terms second.
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.
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.
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
•Make sure to practice because your skills check will be tomorrow!