1. **Stating the problem:** We need to verify if the answers given for the algebra questions are correct. 2. **Definition of a variable:** A variable is an unknown number or symbol that can represent different values. 3. **Operations on variables:** a) $5x$ means multiply $x$ by 5. b) $3x - 7$ means multiply $x$ by 3, then subtract 7. c) $-5x^2 + 10$ means square $x$, multiply by $-5$, then add 10. 4. **Algebraic expressions:** a) Tripling $x$ and subtracting 19: $3x - 19$ (correct). b) Squaring $y$ and adding 10: $y^2 + 10$ (correct). c) Decreasing $n$ by 6 and multiplying by $-8$: $(n - 6)(-8)$ (correct). d) Increasing $p$ by 70 and dividing by 6: $\frac{p + 70}{6}$ (correct, division written as fraction). 5. **Number of terms:** a) $4x + 3$ has 2 terms (correct). b) $y$ has 1 term (correct). c) $6x^2 - 7x + 12$ has 3 terms (correct). d) $-7m$ has 1 term (correct). e) $8x^2 y^5 z^3$ has 1 term (correct, variables multiplied together count as one term). f) $9x^5 - 8xy + 4y^3 + 6$ has 4 terms (correct). 6. **Evaluations for $x=2$:** a) $x + 25 = 2 + 25 = 27$ (correct). b) $8x = 8 \times 2 = 16$ (correct). c) $6x + 5 = 6 \times 2 + 5 = 12 + 5 = 17$ (correct). d) $4 - 10x = 4 - 10 \times 2 = 4 - 20 = -16$ (correct). e) $\frac{x}{2} + 12 = \frac{2}{2} + 12 = 1 + 12 = 13$ (correct). f) $-3(x - 4) = -3(2 - 4) = -3(-2) = 6$ (correct). g) $\frac{x - 16}{7} = \frac{2 - 16}{7} = \frac{-14}{7} = -2$ (correct). **All answers provided are correct.**