Geometry Notes
0.1 Order of Operations and Evaluating Expressions
Name:_________________________
Period:_______Date:_____________
Order of Operations – PEMDAS
P-PARENTHESIS
E-EXPONENTS
M-MULTIPLY
D-DIVIDE
A-ADD
S-SUBTRACT
When evaluating an expression, you perform these operations in order from left to right. Always simplify the quantity
inside parenthesis or other grouping symbols first. Multiplication and division are performed together from left to
right in the order they appear.
Simplify showing all work
1. 7 − 3 ∙ 4
2. 8 − 3(12 − 8) + 23
3. 6(3) − 8 ÷ 4 ∙ 5
4. 36 ÷ 6 ∙ 2 + 4(13 − 5)
5. 36 ÷ (6 ∙ 2) + (13 − 5)
6. 3(9 − 7)3 − 4 ∙ 32
7. 3(9 − 7)3 − (4 ∙ 3)2
8. 6 − 3[4 − (20 − 2) ÷ 3]
9.
(7−4)2 +7
15÷5
10.
3(18−12)+23
24−20
Evaluate the following expressions if 𝑥 = −3, 𝑦 = 4, 𝑧 = −5. Simplify all answers completely. Show all work.
11. 4𝑥 − 3𝑧 + 𝑦
13.
2𝑦+4𝑥
𝑧−𝑥
12. 2𝑥 2 − 5𝑥𝑦
14. −3𝑥 2 − 4𝑦 2
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Geometry Notes
0.1 Order of Operations and Evaluating Expressions
Name:_________________________
Period:_______Date:_____________
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