Worksheet: Solving One-Step Equations with Decimals | Pre-Algebra ... - Free Printable

To solve the problems in the image, we need to evaluate each expression step by step. Let's go through them one by one.

---

Problem 1: \( v + 2.5 = 40 \)

We are solving for \( v \).

\[
v + 2.5 = 40
\]

Subtract 2.5 from both sides:

\[
v = 40 - 2.5
\]

\[
v = 37.5
\]

Answer: \( v = 37.5 \)

---

Problem 2: \( d = 12 - 12 \times b \)

We are solving for \( d \). However, the value of \( b \) is not provided. Assuming \( b \) is a variable, the expression remains as it is.

\[
d = 12 - 12b
\]

Answer: \( d = 12 - 12b \)

---

Problem 3: \( 3.3 \times v = 9.9 \)

We are solving for \( v \).

\[
3.3 \times v = 9.9
\]

Divide both sides by 3.3:

\[
v = \frac{9.9}{3.3}
\]

\[
v = 3
\]

Answer: \( v = 3 \)

---

Problem 4: \( v + 20 = 38.6 \)

We are solving for \( v \).

\[
v + 20 = 38.6
\]

Subtract 20 from both sides:

\[
v = 38.6 - 20
\]

\[
v = 18.6
\]

Answer: \( v = 18.6 \)

---

Problem 5: \( 47.223 + v = 13.5 \)

We are solving for \( v \).

\[
47.223 + v = 13.5
\]

Subtract 47.223 from both sides:

\[
v = 13.5 - 47.223
\]

\[
v = -33.723
\]

Answer: \( v = -33.723 \)

---

Problem 6: \( 11.33 \times v = 0.66 \)

We are solving for \( v \).

\[
11.33 \times v = 0.66
\]

Divide both sides by 11.33:

\[
v = \frac{0.66}{11.33}
\]

\[
v = 0.0582
\]

Answer: \( v = 0.0582 \)

---

Problem 7: \( v \times 0.8 = 1.6 \)

We are solving for \( v \).

\[
v \times 0.8 = 1.6
\]

Divide both sides by 0.8:

\[
v = \frac{1.6}{0.8}
\]

\[
v = 2
\]

Answer: \( v = 2 \)

---

Problem 8: \( (0.88 \times v) + v = 2.28 \)

We are solving for \( v \).

First, simplify the left-hand side:

\[
0.88v + v = 2.28
\]

Combine like terms:

\[
1.88v = 2.28
\]

Divide both sides by 1.88:

\[
v = \frac{2.28}{1.88}
\]

\[
v = 1.2128
\]

Answer: \( v = 1.2128 \)

---

Problem 9: \( 2.5 \times v = 0.45 \)

We are solving for \( v \).

\[
2.5 \times v = 0.45
\]

Divide both sides by 2.5:

\[
v = \frac{0.45}{2.5}
\]

\[
v = 0.18
\]

Answer: \( v = 0.18 \)

---

Problem 10: \( v = 0.88 \times 10 \times b \)

We are solving for \( v \). However, the value of \( b \) is not provided. Assuming \( b \) is a variable, the expression remains as it is.

\[
v = 0.88 \times 10 \times b
\]

\[
v = 8.8b
\]

Answer: \( v = 8.8b \)

---

Problem 11: \( v = 3 \times 13.03 \times 19 = 96.13 \times 27 \)

We are solving for \( v \).

First, calculate \( 3 \times 13.03 \times 19 \):

\[
3 \times 13.03 = 39.09
\]

\[
39.09 \times 19 = 742.71
\]

Now, calculate \( 96.13 \times 27 \):

\[
96.13 \times 27 = 2595.51
\]

Since the two expressions are not equal, there seems to be a mistake in the problem statement. However, if we assume the first part is correct:

\[
v = 742.71
\]

Answer: \( v = 742.71 \)

---

Problem 12: \( v \times (1 + 0.8) = 3.81 \)

We are solving for \( v \).

First, simplify the term inside the parentheses:

\[
1 + 0.8 = 1.8
\]

So the equation becomes:

\[
v \times 1.8 = 3.81
\]

Divide both sides by 1.8:

\[
v = \frac{3.81}{1.8}
\]

\[
v = 2.1167
\]

Answer: \( v = 2.1167 \)

---

Problem 13: \( v \times (1 + 0.1) = 1.21 \)

We are solving for \( v \).

First, simplify the term inside the parentheses:

\[
1 + 0.1 = 1.1
\]

So the equation becomes:

\[
v \times 1.1 = 1.21
\]

Divide both sides by 1.1:

\[
v = \frac{1.21}{1.1}
\]

\[
v = 1.1
\]

Answer: \( v = 1.1 \)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & v = 37.5 \\
2. & d = 12 - 12b \\
3. & v = 3 \\
4. & v = 18.6 \\
5. & v = -33.723 \\
6. & v = 0.0582 \\
7. & v = 2 \\
8. & v = 1.2128 \\
9. & v = 0.18 \\
10. & v = 8.8b \\
11. & v = 742.71 \\
12. & v = 2.1167 \\
13. & v = 1.1 \\
\end{array}
}
\]