Question

Decide the placement of each statement:
Coefficient goes before the variable
An algebraic expression has an exponent
An algebraic expression has a variable
An algebraic expression has an equal sign
3m is bigger than 2y
A variable is a capital letter
x to the zero power = 1

Answer 1

Here’s the placement of each statement based on their relevance to algebraic expressions, variables, coefficients, and mathematical operations:

1. **Coefficient goes before the variable**
- This is an accurate statement regarding algebraic expressions.

2. **An algebraic expression has an exponent**
- This is true, as many algebraic expressions include variables raised to a power (exponents).

3. **An algebraic expression has a variable**
- This is a fundamental characteristic of an algebraic expression.

4. **An algebraic expression has an equal sign**
- This statement is not true for algebraic expressions, as they do not include an equal sign. An equation includes an equal sign.

5. **3m is bigger than 2y**
- This is an inequality statement rather than a property of algebraic expressions or variables.

6. **A variable is a capital letter**
- This statement is misleading. A variable can be represented by both capital and lowercase letters.

7. **x to the zero power = 1**
- This is a true mathematical statement, as any non-zero number raised to the zero power equals 1.

To summarize placements:
- Algebraic expression descriptions: 1, 2, 3
- Statement about equations: 4
- Inequality statement: 5
- Misleading variable statement: 6
- Mathematical truth: 7