The Distributive Property (sample Problems)
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The Distributive Property 1.
5(x – 8) 5(x) – 5(8) 5x – 40
2. 12(5x – 3) 12(5x) – 12(3) 60x – 36
3. 2x(x + 8) 2x(x) + 2x(8) 2x2 + 16x
Problems that require the Distributive Property and Combining Like Terms. 4.
2(x + 3) + 3(x + 8)
5.
7(x + 5) + 8(x – 2)
Step 1: distribute 2(x) + 2(3) + 3(x) + 3(8) 2x + 6 + 3x + 24
7(x) + 7(5) + 8(x) – 8(2) 7x + 35 + 8x – 16
Step 2: regroup and combine like terms 2x + 6 +3x + 30 5x + 36
7x + 35 +8x - 16 15x + 19
Would you like to try some on your own? Bring them in and I will check them! 1. 3(x – 2) 2. 15(2x + 5) 3. 4(12x – 8) 4. 3(x + 2) + 17(x + 8)
5(x – 8) 5(x) – 5(8) 5x – 40
2. 12(5x – 3) 12(5x) – 12(3) 60x – 36
3. 2x(x + 8) 2x(x) + 2x(8) 2x2 + 16x
Problems that require the Distributive Property and Combining Like Terms. 4.
2(x + 3) + 3(x + 8)
5.
7(x + 5) + 8(x – 2)
Step 1: distribute 2(x) + 2(3) + 3(x) + 3(8) 2x + 6 + 3x + 24
7(x) + 7(5) + 8(x) – 8(2) 7x + 35 + 8x – 16
Step 2: regroup and combine like terms 2x + 6 +3x + 30 5x + 36
7x + 35 +8x - 16 15x + 19
Would you like to try some on your own? Bring them in and I will check them! 1. 3(x – 2) 2. 15(2x + 5) 3. 4(12x – 8) 4. 3(x + 2) + 17(x + 8)
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