Using the rules of order of operations, find the values of the following expressions.
a) 2(3² - 5)
b) 2(3 - 5)²
c) 2²(3 - 5)
d) 2 × 3² - 5
e) (2 × 3)² - 5
f) 2(3² - 5²)
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a) 2(3² - 5)
Resolve what's in the parentheses before multiplying by 2.
2(9 - 5)
2(4)
Final answer: 8
b) 2(3 - 5)²
Resolve what's in the parentheses before squaring.
2(-2)²
2(4)
Final answer: 8
c) 2²(3 - 5)
Resolve what's in the parentheses before squaring.
2²(-2)
4(-2)
Final answer: -8
d) 2 × 3² - 5
Square first, multiply second, subtract last.
2 × 9 - 5
18 - 5
Final answer: 13
e) (2 × 3)² - 5
Parentheses first, square second, subtract last.
(6)² - 5
36 - 5
Final answer: 31
f) 2(3² - 5²)
Squares inside parentheses first, subtraction inside parentheses next, multiply by 2 last.
2(9 - 25)
2(-16)
Final answer: -32
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