Day 1: The Real Number System

Reorder the following to show the proper order of operations.

• Do all additions and subtractions in order from left to right.

• Evaluate expressions with exponents.

• Do all multiplications and divisions in order from left to right.

• Do all operations within parentheses.

Simplify:

18 - 3 ⋅ 4 + 6 ÷ 3

Simplify:

3(2 + 5) - 2²

Simplify:

4(6 + 8 - 3 + 1)

Simplify:

{20 - [3(1 + 3)]} ⋅ 2

Simplify:

(4² + 2²) ÷ 5

Evaluate each expression if n = 12

• 27

• n/3

• 48

• 4n

• 3

• 2n - 6n

• 4

• n + 15

• -48

• 15 - n

Evaluate each expression if p = 1/4 and r = 1/2

• 1/4

• r/p

• 2

• r - p

• 3/4

• p + r

• 1/2

• pr

• 1/8

• p/r

Evaluate the following expression given that a = 3, b = 5, and c = 2

3abc

Evaluate the following expression given that a = 3, b = 5, and c = 2

1/2ab

(enter your answer as a whole number or decimal value)