Basic Algebra Worksheets - Free Printable

Sure! Let’s solve each equation step by step and fill in the “ANSWER” column. I’ll show the working for each one so you can understand how to get the solution.

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1) 4a = 20

Working: Divide both sides by 4 → a = 20 ÷ 4
✔ Answer: a = 5 *(already given)*

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2) b - 7 = 8

Working: Add 7 to both sides → b = 8 + 7
✔ Answer: b = 15

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3) 2c - 1 = 11

Working: Add 1 to both sides → 2c = 12, then divide by 2 → c = 6
✔ Answer: c = 6

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4) 10 = d + 6

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

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5) 18 = 3e

Working: Divide both sides by 3 → e = 18 ÷ 3
✔ Answer: e = 6

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6) f - 7 = 4 + 4

Working: Simplify right side → f - 7 = 8, then add 7 → f = 15
✔ Answer: f = 15

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7) 2g = 7 - 5

Working: Simplify right side → 2g = 2, then divide by 2 → g = 1
✔ Answer: g = 1

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8) 16 - 2h = 0

Working: Subtract 16 from both sides → -2h = -16, then divide by -2 → h = 8
✔ Answer: h = 8

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9) 2(i + 1) = 18

Working: Divide both sides by 2 → i + 1 = 9, then subtract 1 → i = 8
✔ Answer: i = 8

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10) 3(j - 1) = 21

Working: Divide both sides by 3 → j - 1 = 7, then add 1 → j = 8
✔ Answer: j = 8

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11) 5(k + 2) = 45

Working: Divide both sides by 5 → k + 2 = 9, then subtract 2 → k = 7
✔ Answer: k = 7

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12) 4(l - 6) = 16

Working: Divide both sides by 4 → l - 6 = 4, then add 6 → l = 10
✔ Answer: l = 10

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13) 2m - 5 = 11

Working: Add 5 → 2m = 16, then divide by 2 → m = 8
✔ Answer: m = 8

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14) ½n + 1 = 8

Working: Subtract 1 → ½n = 7, then multiply both sides by 2 → n = 14
✔ Answer: n = 14

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15) 20 ÷ o = 4

Working: Multiply both sides by o → 20 = 4o, then divide by 4 → o = 5
✔ Answer: o = 5

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16) p ÷ 7 = 3

Working: Multiply both sides by 7 → p = 21
✔ Answer: p = 21

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17) q ÷ 6 = 5

Working: Multiply both sides by 6 → q = 30
✔ Answer: q = 30

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18) 4(r + 2) = 24

Working: Divide by 4 → r + 2 = 6, then subtract 2 → r = 4
✔ Answer: r = 4

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19) 20 = 5(s - 3)

Working: Divide both sides by 5 → 4 = s - 3, then add 3 → s = 7
✔ Answer: s = 7

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20) ½t + 7 = 13

Working: Subtract 7 → ½t = 6, then multiply by 2 → t = 12
✔ Answer: t = 12

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21) u² = 36

Working: Take square root of both sides → u = ±6
✔ Answer: u = 6 or -6 *(Note: In elementary math, often only positive is expected unless specified. But technically both are solutions.)*
👉 If only positive: u = 6

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22) v² = 100

Working: Square root → v = ±10
✔ Answer: v = 10 or -10
👉 If only positive: v = 10

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23) w = √25

Working: Square root of 25 is 5 (principal root)
✔ Answer: w = 5

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24) 3x = 20 - 8

Working: Simplify right side → 3x = 12, then divide by 3 → x = 4
✔ Answer: x = 4

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25) 18 - 4y = 2

Working: Subtract 18 → -4y = -16, then divide by -4 → y = 4
✔ Answer: y = 4

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## ✔ Final Answer Table:

| # | SOLVE | WORKING | ANSWER |
|---|-------------------|----------------------------------|--------|
| 1 | 4a=20 | a = 20 ÷ 4 | a = 5 |
| 2 | b-7=8 | b = 8 + 7 | b = 15 |
| 3 | 2c-1=11 | 2c = 12 → c = 6 | c = 6 |
| 4 | 10=d+6 | d = 10 - 6 | d = 4 |
| 5 | 18=3e | e = 18 ÷ 3 | e = 6 |
| 6 | f-7=4+4 | f - 7 = 8 → f = 15 | f = 15 |
| 7 | 2g=7-5 | 2g = 2 → g = 1 | g = 1 |
| 8 | 16-2h=0 | -2h = -16 → h = 8 | h = 8 |
| 9 | 2(i+1)=18 | i+1 = 9 → i = 8 | i = 8 |
|10 | 3(j-1)=21 | j-1 = 7 → j = 8 | j = 8 |
|11 | 5(k+2)=45 | k+2 = 9 → k = 7 | k = 7 |
|12 | 4(l-6)=16 | l-6 = 4 → l = 10 | l = 10 |
|13 | 2m-5=11 | 2m = 16 → m = 8 | m = 8 |
|14 | ½n+1=8 | ½n = 7 → n = 14 | n = 14 |
|15 | 20÷o=4 | 20 = 4o → o = 5 | o = 5 |
|16 | p÷7=3 | p = 21 | p = 21 |
|17 | q÷6=5 | q = 30 | q = 30 |
|18 | 4(r+2)=24 | r+2 = 6 → r = 4 | r = 4 |
|19 | 20=5(s-3) | s-3 = 4 → s = 7 | s = 7 |
|20 | ½t+7=13 | ½t = 6 → t = 12 | t = 12 |
|21 | u²=36 | u = ±6 → usually u = 6 | u = 6 |
|22 | v²=100 | v = ±10 → usually v = 10 | v = 10 |
|23 | w=√25 | w = 5 | w = 5 |
|24 | 3x=20-8 | 3x = 12 → x = 4 | x = 4 |
|25 | 18-4y=2 | -4y = -16 → y = 4 | y = 4 |

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Let me know if you’d like this formatted as a printable answer sheet or need explanations for any specific problem! 🧮