Algebraic Expressions & Evaluation
1. Write an algebraic expression for "the sum of a number and 8".
2. Write an algebraic expression for "the product of 6 and a number, decreased by 2".
3. Evaluate using the order of operations: $20 - 4 \div 2 + 3 \cdot 5$
4. Evaluate $5a - 2b$ when $a = 4$ and $b = 3$.
5. Evaluate $x^2 + 3y$ when $x=5$ and $y=2$.
6. Simplify: $y^3 \cdot y^7$
7. Simplify: $(2a^4)^3$
8. Simplify: $\frac{x^9}{x^3}$
9. Simplify: $10x - 4y + 3x + 6y$
10. A triangle has sides of length $x$, $2x+1$, and $3x-4$. What is the expression for its perimeter?