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The Distributive Property Day 2. Find the total area of the rectangles using two different expressions. 5 ft. 5 ft. 10 ft + 4 ft. One Way: 5(10) +5(4). Find the area of each rectangle. 5 ft. 5 ft. 50 ft 2. 20 ft 2. 1 0 ft + 4 ft. 5(10) +5(4 ) 50 +20 = 70.
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The Distributive Property Day 2
Find the total area of the rectangles using two different expressions 5ft 5ft 10 ft + 4 ft
One Way: 5(10) +5(4) Find the area of each rectangle. 5ft 5ft 50 ft2 20 ft2 10 ft + 4 ft
5(10) +5(4) 50 +20 = 70 Now put the two rectangles back together. 5ft 50 sqft + 20 sqft 14 ft
Second way: 5(10+4) 5(14) = 70ft2 5ft 70 ft2 10 + 4 ft =14 ft
Review Or
1) Which of the following expressions shows the distributive property for 5(3 + 7)? A. (5 + 3) x (5 + 7) B. (5 x 3) x (5 x 7) C. (5 x 3) + (5 x 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) A. 2 + 2 + 3 + 3 B. 2 (3 + 3) C. 3(2 + 3)
Which of the following expressions is equivalent to:(4 x 3) + (4 x 8) ? A. 3 (4 + 8) B. 8 (3 + 4) C. 4 (3 + 8)
Which of the following expressions is equivalent to:(5 x 9) – (5 x 3) ? A. 3 (9 – 5) B. 5 (9 – 3) C. 9 (3 – 5)
11) Which expression is equivalent to 3(x + 7)? A. x + 10 B. x + 21 C. 3x + 7 D. 3x + 21
12) Which expression is equivalent to 4(x + 5)? A. x + 9 B. 4x + 20 C. 4x + 5 D. 9x
13) Which expression is equivalent to 8(x – 2)? A. 10x B. 8x – 2 C. 8x – 16 D. 8x – 10
Which expression is equivalent to 2(x – 3)? A. 2x – 6 B. 2x – 5 C. 2x – 3 D. 2x – 2
Now we will use the distributive property first, then combine like terms second.
1. Simplify 6(5 + n) – 2n. 6(5 + n) – 2n 6(5) +6(n) – 2n Distributive Property. 30 + 6n – 2n Multiply. 30 + 4n Combine coefficients 6 – 2 = 4.
2. Simplify 3(c + 7) – c. 3(c + 7) – c 3(c) +3(7) – c Distributive Property. 3c + 21– c Multiply. 2c + 21 Combine coefficients 3 – 1 = 2.
Simplify. 3. 4(3x + 6) 7x 4(3x) + 4(6) – 7x Distributive Property. 12x + 24 – 7x Multiply. 5x + 24 Combine coefficients 12 - 7 = 5. 4. 6(x + 5) + 3x 6(x) + 6(5) +3x Distributive Property. 6x + 30 +3x Multiply. 9x + 30 Combine coefficients 6 + 3 = 9.
Make sure to practice because your skills check will be tomorrow!