Question 203727
1.twice a number x added to one half equals nine

2x + 1/2 = 9

Subtract 1/2 from both sides
2x = 8 1/2

Divide both sides by 2
x= 4 1/4

2(4 1/4) + 1/2 = 9

2.three fourths a number is nine

3/4x = 9

To solve, multiply 9 and 3/4 (12)

3/4(12) = 9

3.nine divided by a number is equal to three

9/x = 3

3*3=9, so the answer is 3

4.six minus a number divided by two is equal to twenty one

6 - x/2=21

Subtract 6 from both sides
-x/2=15

multiply both sides by -2
x=-30

Check your answer
6-(-30)/2=21
6+15=21
21=21

5.six times a number x less four is equal to eight
6x-4=8

Add 4 to both sides
6x=12

Divide by 6 to both sides
x=2

Check:
6x-4=8
6(2)-4=8
12-4=8
8-8