Order of Operations Worksheet
Name ____________________________
1. Simplify all operations inside grouping symbols such as: parentheses, brackets, and braces. Also
perform all operations above and below any fraction bars.
2. Evaluate all exponents (powers).
3. Evaluate all multiplication and division in order from left to right.
4. Evaluate all addition and subtraction from left to right.
Examples:
A.
3 + 4(6-3) – 2
B.
2  4(5)
5+
2
Let
C.
8(3)² - 12  2  3
x = 8, y = 5
400 – x²y + 6y
D.
Evaluate the following. Show your work.
1. 3 + 2 (3) +5
5.
24  2  3
2. (6 + 4)3 – 3
6. 15  3(5) – 4²
3. (6 + 4)(3 – 3)
4. 29 – 2(9 - 4)
7. 4(11 + 7) - 9  8
8.
2  3(4)
53
Evaluate the following if v = 5, x = 3, a = 7. Remember to use the Order of Operations.
1. (v +1) (v² – v + 1)
2.
x²  x  6
x3
3. a  7(v  3)  3
2
4.
v²x – 1 + 5(v – x)
Use (parentheses) and/or [brackets] to make the following statements TRUE. Show all your work.
first try
second try
A.
3 + 6 ● 2 – 1 = 14
3 + 6 ● 2 – 1 = 14
B.
6 – 2 ● 4 + 3 = 28
C.
8 + 4 + 9 – 3 + 2 = 20
8 + 4 + 9 – 3 + 2 = 20
D.
14 – 3² + 10 – 7 = 8
14 – 3² + 10 – 7 = 8
6 – 2 ● 4 + 3 = 28
third try
3 + 6 ● 2 – 1 = 14
6 – 2 ● 4 + 3 = 28
8 + 4 + 9 – 3 + 2 = 20
14 – 3² + 10 – 7 = 8
Please find and correct the error that Mrs. Hochstetler made in the problem below:
18 – 2 + 3² - 7
error: __________________________________________
18 – 2 + 9 – 7
correct work and answer:
18 – 11 – 7
7–7
0