Question

Unit 2 Solving Equations and Inequalities
Vocabulary

Key terms / Meaning Definition - Picture
/ Example with problems solved showing all steps

U2 L1
Expression

Answer 1

### Vocabulary: Expression

**Definition:**
An expression is a mathematical phrase that can contain numbers, variables, and operation symbols (like +, -, ×, ÷) but does not include an equality sign (=).

**Examples of Expressions:**
- \( 3x + 5 \)
- \( 4a - 7b + 12 \)
- \( \frac{2}{3}y + 3 \)

### Example Problem:
Let's solve the expression \( 3x + 5 \) for \( x = 2 \).

**Step 1:** Substitute \( x \) with \( 2 \)
\[
3(2) + 5
\]

**Step 2:** Multiply \( 3 \) and \( 2 \)
\[
6 + 5
\]

**Step 3:** Add \( 6 \) and \( 5 \)
\[
11
\]

**Conclusion:**
When \( x = 2 \), the expression \( 3x + 5 \) evaluates to \( 11 \).

### Visual Representation:


### Additional Notes:
Expressions can be simplified or evaluated but do not create statements of equality. To form equations, we would need to set an expression equal to another expression or a value (e.g., \( 3x + 5 = 11 \)). Therefore, understanding expressions is crucial for solving equations and inequalities.