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

1 answer

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