Question

I'm having trouble finding the properties in the examples below:
Evaluate each expression. Name the property used in each step.
1. 5(7x4-27)
2. 4+8(6-2x3)
3. 7+1/4(1+3)
4. 9+6[8-(24/3)]
5. 10[5/(8-3)-1]+3
6. 6[4+(6+2)1/8]

Answer 1

looks like the key to each one is the distributive property and the associative property
5(7*4-27) = 5(7*4) - 5(27) distributive
= 5*28 - 5*27 associative
= 5(28-27) distributive
= 5*1 = 5