Solving Simple Equations (F) Worksheet for 3rd - 4th Grade ... - Free Printable

To solve the given simple equations, we need to isolate the variable (usually denoted as \( p \)) on one side of the equation. Let's go through each equation step by step.

Equation 1: \( i - 3 = 16 \)

- Add 3 to both sides:
\[
i - 3 + 3 = 16 + 3
\]
\[
i = 19
\]

Equation 2: \( p + b = 8 \)

- This equation has two variables (\( p \) and \( b \)). Without additional information, we cannot solve for a specific value of \( p \). However, if we assume \( b \) is known or can be expressed in terms of \( p \), we can proceed. For now, let's leave it as:
\[
p = 8 - b
\]

Equation 3: \( b - 20 = 4 \)

- Add 20 to both sides:
\[
b - 20 + 20 = 4 + 20
\]
\[
b = 24
\]

Equation 4: \( c + 7 = 24 \)

- Subtract 7 from both sides:
\[
c + 7 - 7 = 24 - 7
\]
\[
c = 17
\]

Equation 5: \( 15 + b = 16 \)

- Subtract 15 from both sides:
\[
15 + b - 15 = 16 - 15
\]
\[
b = 1
\]

Equation 6: \( 19 + q = 23 \)

- Subtract 19 from both sides:
\[
19 + q - 19 = 23 - 19
\]
\[
q = 4
\]

Equation 7: \( 1 + q = 17 \)

- Subtract 1 from both sides:
\[
1 + q - 1 = 17 - 1
\]
\[
q = 16
\]

Equation 8: \( b + 12 = 13 \)

- Subtract 12 from both sides:
\[
b + 12 - 12 = 13 - 12
\]
\[
b = 1
\]

Equation 9: \( a - q = 0 \)

- Add \( q \) to both sides:
\[
a - q + q = 0 + q
\]
\[
a = q
\]

Equation 10: \( 10 + b = 11 \)

- Subtract 10 from both sides:
\[
10 + b - 10 = 11 - 10
\]
\[
b = 1
\]

Equation 11: \( 18 + b = 24 \)

- Subtract 18 from both sides:
\[
18 + b - 18 = 24 - 18
\]
\[
b = 6
\]

Equation 12: \( 20 + v = 1 \)

- Subtract 20 from both sides:
\[
20 + v - 20 = 1 - 20
\]
\[
v = -19
\]

Equation 13: \( 14 + y = 24 \)

- Subtract 14 from both sides:
\[
14 + y - 14 = 24 - 14
\]
\[
y = 10
\]

Equation 14: \( p + 10 = 19 \)

- Subtract 10 from both sides:
\[
p + 10 - 10 = 19 - 10
\]
\[
p = 9
\]

Equation 15: \( 1 - p = 15 \)

- Subtract 1 from both sides:
\[
1 - p - 1 = 15 - 1
\]
\[
-p = 14
\]
- Multiply both sides by -1:
\[
p = -14
\]

Equation 16: \( 1 + p = 7 \)

- Subtract 1 from both sides:
\[
1 + p - 1 = 7 - 1
\]
\[
p = 6
\]

Equation 17: \( -20 - v = 5 \)

- Add 20 to both sides:
\[
-20 - v + 20 = 5 + 20
\]
\[
-v = 25
\]
- Multiply both sides by -1:
\[
v = -25
\]

Equation 18: \( a - 15 = 5 \)

- Add 15 to both sides:
\[
a - 15 + 15 = 5 + 15
\]
\[
a = 20
\]

Equation 19: \( 1 - 22 = p \)

- Simplify the left side:
\[
-21 = p
\]
\[
p = -21
\]

Final Answers:

\[
\boxed{
\begin{aligned}
&i = 19, \quad p = 8 - b, \quad b = 24, \quad c = 17, \quad b = 1, \quad q = 4, \quad q = 16, \quad b = 1, \\
&a = q, \quad b = 1, \quad b = 6, \quad v = -19, \quad y = 10, \quad p = 9, \quad p = -14, \quad p = 6, \\
&v = -25, \quad a = 20, \quad p = -21
\end{aligned}
}
\]