ACL Prefix-Infix-Postfix

Prefix-Infix-Postfix
Evaluate the following prefix expression if all numbers are single digits:
+ -/ * 3 6 2 / + 3 9 4 ^ 2 3

​​

• -2

• 6

• 12

• 14

• 17

​

Prefix-Infix-Postfix
Convert this infix expression to postfix:

((A^2 + B)/C) + ABC

• A2^B+/CAB*C*+

  
  

• A2^B+C/AB*C*+

  
  

• A2^B+C/A*BC*+

  
  

• A2B^+C/AB*C*+

  
  

• A2^B+C/ABC**+

  
  

Prefix-Infix-Postfix
Evaluate the following prefix expression if all numbers are single digits:
-/ 4 + 2 3 2 5 / + ^ 6 2 4 8

​

• 4

• 3

• 0

• -3

• -4

Prefix-Infix-Postfix
The formula for the surface area of a right circular cylinder is:
A = 2πrh + 2πr^2
Convert the entire formula to postfix using P for π .

• A2Pr**h*2P*r2^*+=

  
  

• A2P*r*h*2P*r2*^+=

  
  

• A2P*r*h*2P*r2^*+=

  
  

• A2P*r*h*2P*r2^+*=

  
  

• A2P*r*h*2Pr2*^*+=

  
  

Prefix-Infix-Postfix
Convert this expression from prefix to postfix:
-+ A ^ B 2 ^ / * A C + B C 3

​

• AB2^+A*CBC+/3^-

  ​
  

• AB2^+AC*BC/+3^-

  ​
  

• AB2+^AC*BC+/3^-

  ​
  

• AB2^+AC*BC+/3^-

  ​
  

• AB2^+AC*BC+/3-^

  ​
  

Prefix-Infix-Postfix
What is the value of the following prefix expression if x = -5 and y =
2?
-* 4 ^ x y -* 9 x ^ 6 y

​ ​​​

• -181

• -29

• 29

• 157

• 181

Prefix-Infix-Postfix
Evaluate this prefix expression. (Note: all numbers are single digits.)
- + / + 1 8 3 * 4 3 ↑ 2 3

• 6

• 7

• 8

• 9

• None of the above

  
  

Prefix-Infix-Postfix
Given the equation written in infix, convert it to postfix.
(𝑥 - ℎ)^2 + (𝑦 - 𝑘)^2 = 𝑟^2

• x h - 2 ↑ y k - 2 ↑ + r 2 ↑ =

  
  

• x h - 2 ↑ y k - 2 ↑ r 2 ↑ + =

  
  

• x h 2 ↑ - y k 2 ↑ - + r 2 ↑ =

  
  

• x h - 2 ↑ + y k - 2 ↑ r 2 ↑ =

  
  

• None of the above