Question

apply skills distributive property activity 1 use the distributive property to simplify the expressions. show all of your work. 1. 3(x + 2) 2. 4(2w - 1) 3. -4(a + 2) 4. 8(3 - z) 5. 4(2 + b) 6. -2(c - 4)

Explanation:

Step1: Apply distributive property to 3(x + 2)

$3\times x+3\times2 = 3x + 6$

Step2: Apply distributive property to 4(2w - 1)

$4\times2w-4\times1=8w - 4$

Step3: Apply distributive property to -4(a + 2)

$-4\times a+(-4)\times2=-4a - 8$

Step4: Apply distributive property to 8(3 - z)

$8\times3-8\times z = 24-8z$

Step5: Apply distributive property to 4(2 + b)

$4\times2+4\times b=8 + 4b$

Step6: Apply distributive property to -2(c - 4)

$-2\times c-(-2)\times4=-2c + 8$

Answer:

1. $3x + 6$
2. $8w - 4$
3. $-4a - 8$
4. $24-8z$
5. $8 + 4b$
6. $-2c + 8$