Question
which expressions are equivalent to 8a-6 select all that apply
Answers
GPT-4o mini
To find expressions that are equivalent to \( 8a - 6 \), we can manipulate this expression using algebraic properties:
1. **Factor out a common factor**:
\( 8a - 6 = 2(4a - 3) \)
2. **Add and subtract the same value**:
\( 8a - 6 + k - k \) (where \( k \) is any number, such as \( 0 \)).
For example, \( 8a - 6 + 0 = 8a - 6 \).
3. **Distributing a negative sign**:
\( 8a - 6 = 8a + (-6) \)
4. **Combine like terms**: If we had multiple terms, we could reorganize and combine them provided they are equivalent.
5. **Using a specific value** (for a hypothetical \( a \)):
For example, if \( a = 1 \), then \( 8(1) - 6 = 2 \). Any expression that simplifies to \( 2 \) when \( a = 1 \) would be considered equivalent for this specific scenario, but not generally equivalent.
If you have specific expressions to compare with \( 8a - 6 \), you can substitute or simplify to determine if they are indeed equivalent. If you have particular expressions to check against, feel free to share them!
1. **Factor out a common factor**:
\( 8a - 6 = 2(4a - 3) \)
2. **Add and subtract the same value**:
\( 8a - 6 + k - k \) (where \( k \) is any number, such as \( 0 \)).
For example, \( 8a - 6 + 0 = 8a - 6 \).
3. **Distributing a negative sign**:
\( 8a - 6 = 8a + (-6) \)
4. **Combine like terms**: If we had multiple terms, we could reorganize and combine them provided they are equivalent.
5. **Using a specific value** (for a hypothetical \( a \)):
For example, if \( a = 1 \), then \( 8(1) - 6 = 2 \). Any expression that simplifies to \( 2 \) when \( a = 1 \) would be considered equivalent for this specific scenario, but not generally equivalent.
If you have specific expressions to compare with \( 8a - 6 \), you can substitute or simplify to determine if they are indeed equivalent. If you have particular expressions to check against, feel free to share them!