1. **Problem statement:** Find the value of each expression for given values of variables.
2. **Formula and rules:** Substitute the given values into the expressions and perform arithmetic operations following order of operations (PEMDAS/BODMAS).
3. **Part 1a:**
Given $x=3$, $y=5$, expression: $x - 2y$
Substitute: $3 - 2 \times 5$
Calculate multiplication: $3 - 10$
Calculate subtraction: $-7$
4. **Part 1b:**
Expression: $x^3 + xy$
Substitute: $3^3 + 3 \times 5$
Calculate powers and multiplication: $27 + 15$
Calculate addition: $42$
5. **Part 1c:**
Expression: $y^2 - \frac{10x}{y}$
Substitute: $5^2 - \frac{10 \times 3}{5}$
Calculate powers and multiplication: $25 - \frac{30}{5}$
Calculate division: $25 - 6$
Calculate subtraction: $19$
**Final answers for Exercise 2.1 part 1:**
a) $-7$
b) $42$
c) $19$
Expressions Evaluation 828862
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