1. **Evaluate:** $3 \times (4 + 5) - 6$ 2. **Evaluate:** $8 + 2^3 \times 2$ 3. **Write an expression:** "Seven more than three times a number $n$" 4. **Evaluate:** $3n + 5$ when $n=4$ 5. **True or false:** Does $x=2$ make $4x + 1 = 9$ true? 6. **True or false:** Does $m=-1$ make $5 - 2m = 7$ true? 7. **Equivalent expression:** $2(3y + 4)$ using distributive property 8. **Identify parts:** In $6a + 12$, find coefficient, variable term, constant 9. **Evaluate:** $2^4 + 3^2$ 10. **Write and evaluate:** Total cost when $t=6$ for tickets bought by friends 11. **True/False:** Are $y + y + y$ and $3y$ equivalent? 12. **Create and evaluate:** Expression for "product of 7 and $p$ decreased by 9" and evaluate at $p=3$ --- 1. Evaluate $3 \times (4 + 5) - 6$: $$3 \times (4 + 5) - 6 = 3 \times 9 - 6 = 27 - 6 = 21$$ 2. Evaluate $8 + 2^3 \times 2$: First, calculate exponent: $$2^3 = 8$$ Then multiply: $$8 \times 2 = 16$$ Finally add: $$8 + 16 = 24$$ 3. Expression for "Seven more than three times a number $n$": $$3n + 7$$ 4. Evaluate $3n + 5$ when $n=4$: $$3 \times 4 + 5 = 12 + 5 = 17$$ 5. Check if $x=2$ makes $4x + 1 = 9$ true: Left side: $$4 \times 2 + 1 = 8 + 1 = 9$$ Right side is 9, so equation is true. 6. Check if $m=-1$ makes $5 - 2m = 7$ true: Substitute: $$5 - 2 \times (-1) = 5 + 2 = 7$$ Right side is 7, so equation is true. 7. Equivalent expression to $2(3y + 4)$ using distributive property: $$2 \times 3y + 2 \times 4 = 6y + 8$$ 8. In $6a + 12$: - Coefficient: $6$ - Variable term: $6a$ - Constant: $12$ 9. Evaluate $2^4 + 3^2$: $$2^4 = 16$$ $$3^2 = 9$$ Sum: $$16 + 9 = 25$$ 10. Total tickets bought: Two friends each buy 3 tickets: $2 \times 3 = 6$ One friend buys 2 extra tickets: $2$ Total tickets: $$6 + 2 = 8$$ Total cost when $t=6$: $$8 \times 6 = 48$$ 11. Are $y + y + y$ and $3y$ equivalent? Yes, because $y + y + y = 3y$ by definition of multiplication as repeated addition. 12. Expression for "product of 7 and $p$ decreased by 9": $$7p - 9$$ Evaluate at $p=3$: $$7 \times 3 - 9 = 21 - 9 = 12$$