RPN Quiz Review - Answer Key

RPN Quiz Review - Answer Key

1. Evaluate

6 2 / 3 + 4 *

$6/2=3$, $3+3=6$, $6\times4=24$. Answer: 24

2. Convert to RPN

(7 - 2) × 3 + 8

Answer: 7 2 - 3 * 8 +

3. Convert to algebraic notation

a b - c d + *

Answer: $(a - b)(c + d)$

4. Evaluate

9 4 - 5 2 * +

$9-4=5$, $5\times2=10$, $5+10=15$. Answer: 15

5. Convert to RPN

(p + q) × (r - s)

Answer: p q + r s - *

6. Convert to algebraic notation

x y * z w - /

Answer: $\dfrac{xy}{z - w}$

7. Evaluate

30 sin 2 * 9 3 / 2 ^ -

$\sin 30^\circ = 0.5$, $0.5\times2=1$, $9/3=3$, $3^2=9$, $1-9=-8$. Answer: -8

8. Convert to RPN

12 / (4 + 2) - 1

Answer: 12 4 2 + / 1 -

9. Convert to algebraic notation

15 3 / 4 + (do not evaluate)

Answer: $\dfrac{15}{3} + 4$

10. Evaluate

18 3 / 4 - 2 ^

$18/3=6$, $6-4=2$, $2^2=4$. Answer: 4

11. Convert to RPN

$\sqrt{m^2 + n^2}$

Answer: m 2 ^ n 2 ^ + sqrt

12. Convert to algebraic notation

p q r * + s t - /

Answer: $\dfrac{p + qr}{s - t}$

13. Evaluate

60 cos 4 * 25 sqrt +

$\cos 60^\circ = 0.5$, $0.5\times4=2$, $\sqrt{25}=5$, $2+5=7$. Answer: 7

14. Convert to RPN

(9 + 3) / (2 × 2)

Answer: 9 3 + 2 2 * /

15. Convert to algebraic notation

a b c + * d -

Answer: $a(b + c) - d$

16. Evaluate

7 3 + 2 * 4 -

$7+3=10$, $10\times2=20$, $20-4=16$. Answer: 16

17. Convert to RPN

(u - v)(w + z) / y

Answer: u v - w z + * y /

18. Evaluate

8 3 2 * - 2 /

$3\times2=6$, $8-6=2$, $2/2=1$. Answer: 1

19. Convert to RPN

$\dfrac{a+b}{c-d} \times e$

Answer: a b + c d - / e *

20. Convert to algebraic notation

m n + p / q r * -

Answer: $\dfrac{m+n}{p} - qr$