1) 9x + 1 = 10
Subtract 1 from both sides: 9x = 9
Divide both sides by 9: x = 1
2) 6y - 5 = 7
Add 5 to both sides: 6y = 12
Divide both sides by 6: y = 2
3) 8 = 3x - 4
Add 4 to both sides: 12 = 3x
Divide both sides by 3: x = 4
4) 4/5x + 9 = 11
Subtract 9 from both sides: 4/5x = 2
Multiply both sides by 5/4: x = 2 * 5/4 = 10/4 = 2.5
5) 13 + 2x = 27
Subtract 13 from both sides: 2x = 14
Divide both sides by 2: x = 7
6) 17 - q = 6
Subtract 17 from both sides: -q = -11
Multiply both sides by -1: q = 11
7) (n - 3)/4 = 2
Multiply both sides by 4: n - 3 = 8
Add 3 to both sides: n = 11
8) 1 + 24 = 35
This equation is incorrect as 1 + 24 = 25 ≠ 35. There is no solution.
9) 42 + 5d = 4d
Subtract 4d from both sides: 42 + d = 0
Subtract 42 from both sides: d = -42
10) 4p - 3 = 17
Add 3 to both sides: 4p = 20
Divide both sides by 4: p = 5
Parent Tip: Review the logic above to help your child master the concept of 7th grade equations worksheet.
