Algebra Worksheets - Did you know that the letter x in algebraic - Free Printable

Problem: Solve the given equations for the variables.

We will solve each equation step by step. The goal is to isolate the variable on one side of the equation.

---

#### 1) \( x + 7 = 18 \)
- Subtract 7 from both sides:
\[
x + 7 - 7 = 18 - 7
\]
\[
x = 11
\]

Answer: \( x = 11 \)

---

#### 2) \( a - 15 = 22 \)
- Add 15 to both sides:
\[
a - 15 + 15 = 22 + 15
\]
\[
a = 37
\]

Answer: \( a = 37 \)

---

#### 3) \( 83 = y - 17 \)
- Add 17 to both sides:
\[
83 + 17 = y - 17 + 17
\]
\[
y = 100
\]

Answer: \( y = 100 \)

---

#### 4) \( c - 3 = 6 \)
- Add 3 to both sides:
\[
c - 3 + 3 = 6 + 3
\]
\[
c = 9
\]

Answer: \( c = 9 \)

---

#### 5) \( x + 8 = 18 \)
- Subtract 8 from both sides:
\[
x + 8 - 8 = 18 - 8
\]
\[
x = 10
\]

Answer: \( x = 10 \)

---

#### 6) \( y - 5 = 4 \)
- Add 5 to both sides:
\[
y - 5 + 5 = 4 + 5
\]
\[
y = 9
\]

Answer: \( y = 9 \)

---

#### 7) \( 6 + z = 10 \)
- Subtract 6 from both sides:
\[
6 + z - 6 = 10 - 6
\]
\[
z = 4
\]

Answer: \( z = 4 \)

---

#### 8) \( p - 5 = 15 \)
- Add 5 to both sides:
\[
p - 5 + 5 = 15 + 5
\]
\[
p = 20
\]

Answer: \( p = 20 \)

---

#### 9) \( 4 + m = 12 \)
- Subtract 4 from both sides:
\[
4 + m - 4 = 12 - 4
\]
\[
m = 8
\]

Answer: \( m = 8 \)

---

#### 10) \( g + 44 = 50 \)
- Subtract 44 from both sides:
\[
g + 44 - 44 = 50 - 44
\]
\[
g = 6
\]

Answer: \( g = 6 \)

---

#### 11) \( x - 9 = 2 \)
- Add 9 to both sides:
\[
x - 9 + 9 = 2 + 9
\]
\[
x = 11
\]

Answer: \( x = 11 \)

---

#### 12) \( a + 10 = 17 \)
- Subtract 10 from both sides:
\[
a + 10 - 10 = 17 - 10
\]
\[
a = 7
\]

Answer: \( a = 7 \)

---

#### 13) \( y - 4 = 19 \)
- Add 4 to both sides:
\[
y - 4 + 4 = 19 + 4
\]
\[
y = 23
\]

Answer: \( y = 23 \)

---

#### 14) \( b - 17 = 12 \)
- Add 17 to both sides:
\[
b - 17 + 17 = 12 + 17
\]
\[
b = 29
\]

Answer: \( b = 29 \)

---

#### 15) \( 3 = d + 2 \)
- Subtract 2 from both sides:
\[
3 - 2 = d + 2 - 2
\]
\[
d = 1
\]

Answer: \( d = 1 \)

---

#### 16) \( i + 13 = 27 \)
- Subtract 13 from both sides:
\[
i + 13 - 13 = 27 - 13
\]
\[
i = 14
\]

Answer: \( i = 14 \)

---

#### 17) \( y - 4 = 6 \)
- Add 4 to both sides:
\[
y - 4 + 4 = 6 + 4
\]
\[
y = 10
\]

Answer: \( y = 10 \)

---

#### 18) \( x + 5 = 8 \)
- Subtract 5 from both sides:
\[
x + 5 - 5 = 8 - 5
\]
\[
x = 3
\]

Answer: \( x = 3 \)

---

#### 19) \( x - 4 = 9 \)
- Add 4 to both sides:
\[
x - 4 + 4 = 9 + 4
\]
\[
x = 13
\]

Answer: \( x = 13 \)

---

#### 20) \( 24 = n + 13 \)
- Subtract 13 from both sides:
\[
24 - 13 = n + 13 - 13
\]
\[
n = 11
\]

Answer: \( n = 11 \)

---

#### 21) \( d - 9 = 11 \)
- Add 9 to both sides:
\[
d - 9 + 9 = 11 + 9
\]
\[
d = 20
\]

Answer: \( d = 20 \)

---

Final Answers:

\[
\boxed{
\begin{array}{lll}
1) & x = 11 & \\
2) & a = 37 & \\
3) & y = 100 & \\
4) & c = 9 & \\
5) & x = 10 & \\
6) & y = 9 & \\
7) & z = 4 & \\
8) & p = 20 & \\
9) & m = 8 & \\
10) & g = 6 & \\
11) & x = 11 & \\
12) & a = 7 & \\
13) & y = 23 & \\
14) & b = 29 & \\
15) & d = 1 & \\
16) & i = 14 & \\
17) & y = 10 & \\
18) & x = 3 & \\
19) & x = 13 & \\
20) & n = 11 & \\
21) & d = 20 &
\end{array}
}
\]