Worksheet for solving equations with multiple algebra problems and a link to a video tutorial.

Let's solve each equation step by step. These are all linear equations in one variable, and we'll solve them using basic algebraic operations: addition, subtraction, multiplication, and division.

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(a) $ w + 5 = 7 $

Subtract 5 from both sides:
$$
w = 7 - 5 = 2
$$
✔ Answer: $ w = 2 $

---

(b) $ c + 2 = 10 $

Subtract 2 from both sides:
$$
c = 10 - 2 = 8
$$
✔ Answer: $ c = 8 $

---

(c) $ a - 1 = 6 $

Add 1 to both sides:
$$
a = 6 + 1 = 7
$$
✔ Answer: $ a = 7 $

---

(d) $ x - 4 = 5 $

Add 4 to both sides:
$$
x = 5 + 4 = 9
$$
✔ Answer: $ x = 9 $

---

(e) $ x + 4 = 13 $

Subtract 4 from both sides:
$$
x = 13 - 4 = 9
$$
✔ Answer: $ x = 9 $

---

(f) $ 3w = 12 $

Divide both sides by 3:
$$
w = \frac{12}{3} = 4
$$
✔ Answer: $ w = 4 $

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(g) $ 2x = 18 $

Divide both sides by 2:
$$
x = \frac{18}{2} = 9
$$
✔ Answer: $ x = 9 $

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(h) $ \frac{w}{2} = 6 $

Multiply both sides by 2:
$$
w = 6 \times 2 = 12
$$
✔ Answer: $ w = 12 $

---

(i) $ \frac{x}{4} = 7 $

Multiply both sides by 4:
$$
x = 7 \times 4 = 28
$$
✔ Answer: $ x = 28 $

---

(j) $ 5y = 30 $

Divide both sides by 5:
$$
y = \frac{30}{5} = 6
$$
✔ Answer: $ y = 6 $

---

(k) $ x + 10 = 40 $

Subtract 10 from both sides:
$$
x = 40 - 10 = 30
$$
✔ Answer: $ x = 30 $

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(l) $ 2x = 34 $

Divide both sides by 2:
$$
x = \frac{34}{2} = 17
$$
✔ Answer: $ x = 17 $

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(m) $ x - 9 = 7 $

Add 9 to both sides:
$$
x = 7 + 9 = 16
$$
✔ Answer: $ x = 16 $

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(n) $ \frac{m}{6} = 8 $

Multiply both sides by 6:
$$
m = 8 \times 6 = 48
$$
✔ Answer: $ m = 48 $

---

(o) $ w - 15 = 35 $

Add 15 to both sides:
$$
w = 35 + 15 = 50
$$
✔ Answer: $ w = 50 $

---

(p) $ \frac{x}{10} = 5 $

Multiply both sides by 10:
$$
x = 5 \times 10 = 50
$$
✔ Answer: $ x = 50 $

---

(q) $ 11y = 55 $

Divide both sides by 11:
$$
y = \frac{55}{11} = 5
$$
✔ Answer: $ y = 5 $

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(r) $ 2x = 11 $

Divide both sides by 2:
$$
x = \frac{11}{2} = 5.5
$$
✔ Answer: $ x = 5.5 $ or $ \frac{11}{2} $

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(s) $ b + 6 = 4 $

Subtract 6 from both sides:
$$
b = 4 - 6 = -2
$$
✔ Answer: $ b = -2 $

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(t) $ \frac{x}{3} = 1.5 $

Multiply both sides by 3:
$$
x = 1.5 \times 3 = 4.5
$$
✔ Answer: $ x = 4.5 $ or $ \frac{9}{2} $

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(u) $ 4y = 10 $

Divide both sides by 4:
$$
y = \frac{10}{4} = 2.5
$$
✔ Answer: $ y = 2.5 $ or $ \frac{5}{2} $

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(v) $ 10g = 37 $

Divide both sides by 10:
$$
g = \frac{37}{10} = 3.7
$$
✔ Answer: $ g = 3.7 $

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(w) $ a - 7 = -3 $

Add 7 to both sides:
$$
a = -3 + 7 = 4
$$
✔ Answer: $ a = 4 $

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(x) $ v + 2 = -6 $

Subtract 2 from both sides:
$$
v = -6 - 2 = -8
$$
✔ Answer: $ v = -8 $

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✔ Final Answers Summary:

| Letter | Equation | Answer |
|--------|---------------------|--------------|
| (a) | $ w + 5 = 7 $ | $ w = 2 $ |
| (b) | $ c + 2 = 10 $ | $ c = 8 $ |
| (c) | $ a - 1 = 6 $ | $ a = 7 $ |
| (d) | $ x - 4 = 5 $ | $ x = 9 $ |
| (e) | $ x + 4 = 13 $ | $ x = 9 $ |
| (f) | $ 3w = 12 $ | $ w = 4 $ |
| (g) | $ 2x = 18 $ | $ x = 9 $ |
| (h) | $ \frac{w}{2} = 6 $ | $ w = 12 $ |
| (i) | $ \frac{x}{4} = 7 $ | $ x = 28 $ |
| (j) | $ 5y = 30 $ | $ y = 6 $ |
| (k) | $ x + 10 = 40 $ | $ x = 30 $ |
| (l) | $ 2x = 34 $ | $ x = 17 $ |
| (m) | $ x - 9 = 7 $ | $ x = 16 $ |
| (n) | $ \frac{m}{6} = 8 $ | $ m = 48 $ |
| (o) | $ w - 15 = 35 $ | $ w = 50 $ |
| (p) | $ \frac{x}{10} = 5 $ | $ x = 50 $ |
| (q) | $ 11y = 55 $ | $ y = 5 $ |
| (r) | $ 2x = 11 $ | $ x = 5.5 $ |
| (s) | $ b + 6 = 4 $ | $ b = -2 $ |
| (t) | $ \frac{x}{3} = 1.5 $ | $ x = 4.5 $ |
| (u) | $ 4y = 10 $ | $ y = 2.5 $ |
| (v) | $ 10g = 37 $ | $ g = 3.7 $ |
| (w) | $ a - 7 = -3 $ | $ a = 4 $ |
| (x) | $ v + 2 = -6 $ | $ v = -8 $ |

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📌 Key Concepts Used:

- Addition/Subtraction: To isolate the variable.
- Multiplication/Division: To eliminate coefficients or denominators.
- Always perform the same operation on both sides of the equation.

Let me know if you'd like this as a printable PDF or need help with more advanced equations!