Name the property that each
example illustrates.
15. (12 + 3) + 32 = 12 + (3 + 32)
16. 14(1/14) = 1
17. 27 + 0 = 27
18. 11(4y – 9) = 44y - 99

(12 + 3) + 32 = 12 + (3 + 32)

Associative property of addition: if you have to sum three or more terms, you can group them as you like.

14(1/14) = 1

Multiplicative inverse: a number multiplied by its inverse is 1

27 + 0 = 27

Identity element of addition. If you sum any number with zero, the result is the number you started with.

11(4y – 9) = 44y - 99

Distributive property of addition: if you have to multiply a whole sum/subtraction by a number, it is the same as multiplying each term in the sum/subtraction by that number.

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5