Algebra Worksheets - Free Printable

Let's solve each equation step by step and fill in the WORKING and ANSWER columns.

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1) 4a = 20

- Divide both sides by 4:
$$
a = \frac{20}{4} = 5
$$
✔ Answer: a = 5

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2) b - 7 = 8

- Add 7 to both sides:
$$
b = 8 + 7 = 15
$$
✔ Answer: b = 15

---

3) 2c - 1 = 11

- Add 1 to both sides:
$$
2c = 12
$$
- Divide by 2:
$$
c = 6
$$
✔ Answer: c = 6

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4) 10 = d + 6

- Subtract 6 from both sides:
$$
d = 10 - 6 = 4
$$
✔ Answer: d = 4

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5) 18 = 3e

- Divide both sides by 3:
$$
e = \frac{18}{3} = 6
$$
✔ Answer: e = 6

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6) f - 7 = 4 + 4

- Simplify right side:
$$
f - 7 = 8
$$
- Add 7:
$$
f = 8 + 7 = 15
$$
✔ Answer: f = 15

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7) 2g = 7 - 5

- Simplify right side:
$$
2g = 2
$$
- Divide by 2:
$$
g = 1
$$
✔ Answer: g = 1

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8) 16 - 2h = 0

- Subtract 16 from both sides:
$$
-2h = -16
$$
- Divide by -2:
$$
h = 8
$$
✔ Answer: h = 8

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9) 2(i + 1) = 18

- Divide both sides by 2:
$$
i + 1 = 9
$$
- Subtract 1:
$$
i = 8
$$
✔ Answer: i = 8

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10) 3(j - 1) = 21

- Divide both sides by 3:
$$
j - 1 = 7
$$
- Add 1:
$$
j = 8
$$
✔ Answer: j = 8

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11) 5(k + 2) = 45

- Divide both sides by 5:
$$
k + 2 = 9
$$
- Subtract 2:
$$
k = 7
$$
✔ Answer: k = 7

---

12) 4(l - 6) = 16

- Divide both sides by 4:
$$
l - 6 = 4
$$
- Add 6:
$$
l = 10
$$
✔ Answer: l = 10

---

13) 2m - 5 = 11

- Add 5 to both sides:
$$
2m = 16
$$
- Divide by 2:
$$
m = 8
$$
✔ Answer: m = 8

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14) ½n + 1 = 8

- Subtract 1:
$$
½n = 7
$$
- Multiply both sides by 2:
$$
n = 14
$$
✔ Answer: n = 14

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15) 20 ÷ o = 4

- Rewrite as:
$$
\frac{20}{o} = 4
$$
- Multiply both sides by o:
$$
20 = 4o
$$
- Divide by 4:
$$
o = 5
$$
✔ Answer: o = 5

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16) p ÷ 7 = 3

- Multiply both sides by 7:
$$
p = 21
$$
✔ Answer: p = 21

---

17) q / 6 = 5

- Multiply both sides by 6:
$$
q = 30
$$
✔ Answer: q = 30

---

18) 4(r + 2) = 24

- Divide by 4:
$$
r + 2 = 6
$$
- Subtract 2:
$$
r = 4
$$
✔ Answer: r = 4

---

19) 20 = 5(s - 3)

- Divide both sides by 5:
$$
4 = s - 3
$$
- Add 3:
$$
s = 7
$$
✔ Answer: s = 7

---

20) ½t + 7 = 13

- Subtract 7:
$$
½t = 6
$$
- Multiply by 2:
$$
t = 12
$$
✔ Answer: t = 12

---

21) u² = 36

- Take square root:
$$
u = \sqrt{36} = 6 \quad \text{(assuming positive root)}
$$
✔ Answer: u = 6

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22) v² = 100

- Take square root:
$$
v = \sqrt{100} = 10 \quad \text{(positive root)}
$$
✔ Answer: v = 10

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23) w = √25

- Square root of 25:
$$
w = 5
$$
✔ Answer: w = 5

---

24) 3x = 20 - 8

- Simplify right side:
$$
3x = 12
$$
- Divide by 3:
$$
x = 4
$$
✔ Answer: x = 4

---

25) 18 - 4y = 2

- Subtract 18:
$$
-4y = 2 - 18 = -16
$$
- Divide by -4:
$$
y = 4
$$
✔ Answer: y = 4

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1) | a = 5 |
| 2) | b = 15 |
| 3) | c = 6 |
| 4) | d = 4 |
| 5) | e = 6 |
| 6) | f = 15 |
| 7) | g = 1 |
| 8) | h = 8 |
| 9) | i = 8 |
| 10) | j = 8 |
| 11) | k = 7 |
| 12) | l = 10 |
| 13) | m = 8 |
| 14) | n = 14 |
| 15) | o = 5 |
| 16) | p = 21 |
| 17) | q = 30 |
| 18) | r = 4 |
| 19) | s = 7 |
| 20) | t = 12 |
| 21) | u = 6 |
| 22) | v = 10 |
| 23) | w = 5 |
| 24) | x = 4 |
| 25) | y = 4 |

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You can now fill these answers into the "ANSWER" column. Each working step is shown above, so you can copy them into the "WORKING" column accordingly.

Let me know if you'd like this formatted as a printable sheet!