Follow the steps shown in the lecture on Algebraic Expressions for this assignment. Solve the following mathematical expression by first converting into a postfix expression and evaluating it, and then converting it into a prefix expression and evaluating it. 5 + ( 7 % 3 * 4 + ( 9 / 3 - 7 / 5 + 4 % 9 ) ) / 2 * 3

Write the following expression in its simplest terms, without parentheses            (3x + 2)2 – 2x(1-x) – 4

a. √162 b. √9x * √18x³ C. Simplify each expression d. √32x³ √2x 800x5y²

Simplify the expression: 7 x-1 X x-1 + 3 x+1 1 x+1

During harvesting season at a coffee plantation in puerto rico, hand pickers collect about 165 lbs. of coffee cherries per day. The coffee harvester machine collects about 18,000 pounds of coffee cherries per day. Only 20 % of the coffee cherry's weight is the actual coffee bean. Let h represent the number of days the hand pickerswork and m represent the number of days the harvester machine is used. Which of the algebraic expressions can be used to estimate the amount of coffee beans collected, in pounds , in the coffee plantation during this harvesting season? A) 0.2 (165h + 18,000m) B) 165h + 0.2 (18,000m) C) 165h + 18,000m/ 20 D) 165.2h + 18,000.2m

For each expression, select all equivalent expressions from the list. (a) 8(3x-2) (b) 8y+4y+9y E24x-2 8y + 13y Đ 24x – 16 13y-8y 11x-2 21y 08-3x-8-2 21+y

TOPIC: Evaluating Combination Notation 1. Analyze and answer the following problems. Evaluate the expression -6 + 19C15. Find the unknown variable in „C5 = 126