Worksheet for solving basic algebraic equations with space for name and score.

To solve each equation, we need to isolate the variable on one side of the equation. This means we need to get the variable by itself, with all numbers on the other side. We do this by using inverse operations (opposite operations) to cancel out what's attached to the variable.

Here is the step-by-step solution for each equation:

Row 1:
1. $7x = 21$
* Divide both sides by 7.
* $x = 21 / 7$
* $x = 3$

2. $3v + 3 = 33$
* Subtract 3 from both sides: $3v = 30$
* Divide both sides by 3: $v = 10$

3. $2z = 24$
* Divide both sides by 2.
* $z = 12$

Row 2:
4. $2c + 3 = 17$
* Subtract 3 from both sides: $2c = 14$
* Divide both sides by 2: $c = 7$

5. $3y = 15$
* Divide both sides by 3.
* $y = 5$

6. $2r + 3 = 19$
* Subtract 3 from both sides: $2r = 16$
* Divide both sides by 2: $r = 8$

Row 3:
7. $2t = 20$
* Divide both sides by 2.
* $t = 10$

8. $4q - 30 = -22$
* Add 30 to both sides: $4q = 8$
* Divide both sides by 4: $q = 2$

9. $-a = -16$
* Divide both sides by -1 (or multiply by -1).
* $a = 16$

Row 4:
10. $-2b + 9 = 1$
* Subtract 9 from both sides: $-2b = -8$
* Divide both sides by -2: $b = 4$

11. $-3y - 2 = -8$
* Add 2 to both sides: $-3y = -6$
* Divide both sides by -3: $y = 2$

12. $f - 2 = 10$
* Add 2 to both sides.
* $f = 12$

Row 5:
13. $3a - 2 = 43$
* Add 2 to both sides: $3a = 45$
* Divide both sides by 3: $a = 15$

14. $3c - 8 = 25$
* Add 8 to both sides: $3c = 33$
* Divide both sides by 3: $c = 11$

15. $-2d + 4 = -8$
* Subtract 4 from both sides: $-2d = -12$
* Divide both sides by -2: $d = 6$

Row 6:
16. $-8z = -40$
* Divide both sides by -8.
* $z = 5$

17. $-u + 10 = 30$
* Subtract 10 from both sides: $-u = 20$
* Multiply by -1: $u = -20$

18. $5k = -25$
* Divide both sides by 5.
* $k = -5$

Row 7:
19. $3x + 2 = 29$
* Subtract 2 from both sides: $3x = 27$
* Divide both sides by 3: $x = 9$

20. $3v + 8 = 20$
* Subtract 8 from both sides: $3v = 12$
* Divide both sides by 3: $v = 4$

21. $3z + 4 = -2$
* Subtract 4 from both sides: $3z = -6$
* Divide both sides by 3: $z = -2$

Final Answer:
x = 3, v = 10, z = 12, c = 7, y = 5, r = 8, t = 10, q = 2, a = 16, b = 4, y = 2, f = 12, a = 15, c = 11, d = 6, z = 5, u = -20, k = -5, x = 9, v = 4, z = -2