1. **State the problem:** Find the value of each expression when $p=2$.
2. **Evaluate (a) $6p - 10$:**
Substitute $p=2$:
$$6 \times 2 - 10 = 12 - 10 = 2$$
3. **Evaluate (b) $\frac{p + 5}{14}$:**
Substitute $p=2$:
$$\frac{2 + 5}{14} = \frac{7}{14}$$
Simplify:
$$\frac{\cancel{7}}{\cancel{14}} = \frac{1}{2}$$
4. **Evaluate (c) $p + 30$:**
Substitute $p=2$:
$$2 + 30 = 32$$
5. **Evaluate (d) $\frac{4p + 1}{3}$:**
Substitute $p=2$:
$$\frac{4 \times 2 + 1}{3} = \frac{8 + 1}{3} = \frac{9}{3}$$
Simplify:
$$\frac{\cancel{9}}{\cancel{3}} = 3$$
6. **Evaluate (e) Divide $3a$ by 17:**
Expression is $\frac{3a}{17}$.
Since $a$ is not given, the value is $\frac{3a}{17}$.
7. **Evaluate (f) Thrice of $14y$:**
Thrice means multiply by 3:
$$3 \times 14y = 42y$$
8. **Evaluate (g) Subtract $7p$ from 15:**
Substitute $p=2$:
$$15 - 7 \times 2 = 15 - 14 = 1$$
9. **Evaluate (h) Half of $120w$:**
Half means divide by 2:
$$\frac{120w}{2} = 60w$$
**Final answers:**
(a) 2
(b) $\frac{1}{2}$
(c) 32
(d) 3
(e) $\frac{3a}{17}$
(f) $42y$
(g) 1
(h) $60w$
Substitution Values Ae29Cf
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