Algebra 2 worksheet featuring equations and expressions for solving and evaluating variables.

Problem Analysis:

The worksheet contains two types of tasks:
1. Solving equations (Questions 1–4 and 6–9).
2. Evaluating expressions for given values (Questions 5, 7, 8, and 9).

Let's solve each part step by step.

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Part 1: Solving Equations

#### Question 1: Solve \( 2x - 3x = -18 \)
1. Combine like terms:
\[
2x - 3x = -x
\]
2. The equation becomes:
\[
-x = -18
\]
3. Multiply both sides by \(-1\) to solve for \( x \):
\[
x = 18
\]

Answer: \( x = 18 \)

---

#### Question 2: Solve \( 4x - 3x = 12 \)
1. Combine like terms:
\[
4x - 3x = x
\]
2. The equation becomes:
\[
x = 12
\]

Answer: \( x = 12 \)

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#### Question 3: Solve \( 5x + 2x = -14 \)
1. Combine like terms:
\[
5x + 2x = 7x
\]
2. The equation becomes:
\[
7x = -14
\]
3. Divide both sides by 7:
\[
x = \frac{-14}{7} = -2
\]

Answer: \( x = -2 \)

---

#### Question 4: Solve \( 7x - 3x = -20 \)
1. Combine like terms:
\[
7x - 3x = 4x
\]
2. The equation becomes:
\[
4x = -20
\]
3. Divide both sides by 4:
\[
x = \frac{-20}{4} = -5
\]

Answer: \( x = -5 \)

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#### Question 6: Solve \( x = 3 \)
This is already solved as it directly states \( x = 3 \).

Answer: \( x = 3 \)

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Part 2: Evaluating Expressions

#### Question 5: Evaluate the expression \( x = 2 \)
The question seems incomplete because no specific expression is provided. Assuming the task is to evaluate an expression at \( x = 2 \), we need the expression. If you can provide the missing expression, I can solve it.

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#### Question 7: Evaluate the expression \( 2a + 3 \) for \( a = 5 \)
1. Substitute \( a = 5 \) into the expression:
\[
2a + 3 = 2(5) + 3
\]
2. Simplify:
\[
2(5) + 3 = 10 + 3 = 13
\]

Answer: \( 13 \)

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#### Question 8: Evaluate the expression \( j + 9 \) for \( j = -2 \)
1. Substitute \( j = -2 \) into the expression:
\[
j + 9 = -2 + 9
\]
2. Simplify:
\[
-2 + 9 = 7
\]

Answer: \( 7 \)

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#### Question 9: Evaluate the expression \( 2k + 4 \) for \( k = -6 \)
1. Substitute \( k = -6 \) into the expression:
\[
2k + 4 = 2(-6) + 4
\]
2. Simplify:
\[
2(-6) + 4 = -12 + 4 = -8
\]

Answer: \( -8 \)

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Final Answers:

1. \( x = 18 \)
2. \( x = 12 \)
3. \( x = -2 \)
4. \( x = -5 \)
5. (Incomplete; needs expression)
6. \( x = 3 \)
7. \( 13 \)
8. \( 7 \)
9. \( -8 \)

\boxed{18, 12, -2, -5, \text{(incomplete)}, 3, 13, 7, -8}