Question

Move the expressions into the columns to show which expressions are equivalent to the value given at the top of each column. Not all expressions will be used

Answer 1

I don’t see the columns or the list of expressions. Please paste the full problem (the column headings/values and all expressions), or upload a photo/screenshot, and I’ll sort them into the correct columns.

While you find that, here are quick ways to decide if an expression is equivalent to a column value:

1. Simplify both expressions completely
- Combine like terms, apply distributive property, reduce fractions, cancel common factors.

2. For fractions: put them over a common denominator or reduce to lowest terms.

3. For algebraic expressions: factor when useful (e.g., a^2 − b^2 = (a−b)(a+b)), or expand factored forms to compare.

4. Numerical check: pick 2–3 random values for variables and evaluate each expression. If results match for several values, they’re likely equivalent (useful as a quick check).

5. For complex rational expressions: multiply numerator and denominator to common denominators or simplify by canceling factors.

If you paste the actual columns and expressions I’ll sort them and show the simplification steps for each placement.