4. use the distributive property to simplify: 3(5y + 9) 5. use the distributive property to simplify: 1/2(10y + 14) 6. write the equation for: nine less than twice a number increased by 15 7. write the equation for: the quotient of a number and 3 is twice the number less than 1.

4.  3*5y +3*9

15y+27

5.  1/2 *(10y + 14)

1/2 * 10y + 1/2* 14

5y +7

6.  2n -9+15  (i am not positive on the order of -9 and +15)

7.  n/3 = 2n-1

4. 3(5y+9)=3(5y)+3(9)

    =15y+27

5. 1/2(10y+14)=1/2(10y)+1/2(14)

    =5y+7

6. 2x-9+15

7. 3x=2x-1

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1