Free worksheets for linear equations (grades 6-9, pre-algebra ... - Free Printable

Sure! Let’s solve each of the linear equations step by step.

---

1 a. `k + 9 = 7`

To isolate `k`, subtract 9 from both sides:

```
k + 9 - 9 = 7 - 9
k = -2
```

✔ Answer: k = -2

---

1 b. `12 = x/5`

To isolate `x`, multiply both sides by 5:

```
12 × 5 = (x/5) × 5
60 = x
```

✔ Answer: x = 60

---

2 a. `6 + t = 1`

Subtract 6 from both sides:

```
6 + t - 6 = 1 - 6
t = -5
```

✔ Answer: t = -5

---

2 b. `11n - 6n = 6`

First, combine like terms on the left:

```
(11 - 6)n = 6
5n = 6
```

Now divide both sides by 5:

```
n = 6/5
```

✔ Answer: n = 6/5 (or 1.2 as a decimal)

---

3 a. `1 · 6 = b - 8`

Simplify the left side:

```
6 = b - 8
```

Add 8 to both sides:

```
6 + 8 = b - 8 + 8
14 = b
```

✔ Answer: b = 14

---

3 b. `7 = a + 6`

Subtract 6 from both sides:

```
7 - 6 = a + 6 - 6
1 = a
```

✔ Answer: a = 1

---

4 a. `y + 11 = 9`

Subtract 11 from both sides:

```
y + 11 - 11 = 9 - 11
y = -2
```

✔ Answer: y = -2

---

4 b. `s/10 = 7`

Multiply both sides by 10:

```
(s/10) × 10 = 7 × 10
s = 70
```

✔ Answer: s = 70

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✔ Final Answers Summary:

- 1a. k = -2
- 1b. x = 60
- 2a. t = -5
- 2b. n = 6/5
- 3a. b = 14
- 3b. a = 1
- 4a. y = -2
- 4b. s = 70

Let me know if you’d like these explained in more detail or want to check your work!