Algebraic Expressions
Lesson 3: Order of Operations
The Order of Operations is: _________________________________________
_________________________________________
P____________________________________
E____________________________________
M____________________________________
D____________________________________
A ___________________________________
S ___________________________________
Example 1
(6-2)2 + 18 ÷6
Example 2
Evaluate the expression:
[3(x-2)+1] + y(3)2 -1
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when x = 10
y = -1
Algebraic Expressions
Practice Problem
Complete the problem on your own and then check your answer with the e-course.
6+2(3+22) – 8/4
If you evaluated the above problem correctly, then excellent job and give yourself a pat on the back.
If you made a mistake with the above problem, then write yourself a note in this box that will help you to remember
what mistake you made so that you don’t continue to make the same mistake in the future.
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Algebraic Expressions
Lesson 3: Order of Operations
Part 1: Evaluate the following expressions.
Order of Operations
P__________________
1. 3 + 3(6-9) + 18/-3
E__________________
M_________________
or
D_________________
A _______________
or
S ________________
2. (-6+ 18) – 3(-7 +1) – 6/2
3.
4. (3+2) – 12/6 + 4- (-6)
5. [(10-4)/-3] – (12-6) + 3(-3)
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16/-8 – 5 + 3 ● (-2) + 4 – 18
Algebraic Expressions
Part 2: Evaluate the following expressions for the given values.
6. x2 – 3x + 4/2
when x = -4
8. 3(y + 3) – 4(y2 + 1) – y
10. x + 22 – (x+ y) -3y
when y = 3
7. (5x -7) + 2x – x2
when x = 2
9. x2 + 2(x-1) + 3(x2 -1)
when x = -4
when x = 2 & y = -5
Your next assignment will be a Quiz on Integers, Algebraic Expressions, and Order of
Operations.
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Algebraic Expressions
Lesson 3: Order of Operations
Order of Operations
Parenthesis___________
Exponents____________
Multiply______________
or
Divide_______________
Add_________________
or
Subtract______________
Part 1: Evaluate the following expressions.
3 + 3(6-9) + 18/-3
3+ 3(-3) + 18/-3
3 + -9 + (-6)
-6 +(-6)
-12
Answer: -12
3.
2. (-6+ 18) – 3(-7 +1) – 6/2
12 -3(-6) – 6/2
12 + 18 - 3
16/-8 – 5 + 3 ● (-2) + 4 – 18
-2 – 5 + (-6) + 4 – 18
-7 + (-6) + 4 – 18
-13 + 4 – 18
-9 – 18
-27
30 - 3
Answer: -27
27
Answer: 27
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Algebraic Expressions
4. (3+2) – 12/6 + 4- (-6)
5 – 12/6 + 4 – (-6)
5. [(10-4)/-3] – (12-6) + 3(-3)
[6/-3] – (12-6) + 3(-3)
5 – 2 + 4 – (-6)
-2 – 6 + 3(-3)
3 + 4 – (-6)
-2 – 6 + (-9)
7 – (-6)
-8 + (-9)
13
-17
Answer: 13
Answer: -17
Part 2: Evaluate the following expressions for the given values.
6. x2 – 3x + 4/2when x = -4
7. (5x -7) + 2x – x2
(-4)2 – 3(-4) + 4/2
(5● 2 – 7) + 2● 2 – 22
substitute -4 for x
16 – 3(-4) + 4/2
16 – (-12) + 2
28 + 2u
30
3 + 2● 2 – 22
3+2●2-4
3+ 4 -4
7 -4
3
Answer: 30
Answer: 3
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when x = 2
substitute 2 for x
Algebraic Expressions
8. 3(y + 3) – 4(y2 + 1) – y
when y = 3
9. x2 + 2(x-1) + 3(x2 -1)
when x = -4
3(3+3) – 4(32 +1) – 3 Substitute 3 for y
(-4)2 +2(-4-1) + 3((-4)2 -1) Substitute -4
3(6) -
4(10) – 3
(-4)2 +2(-5) + 3(15)
40 – 3
16 + 2(-5) + 3(15)
18 -
-22 – 3
16 +(-10) + 45
-25
6 + 45
51
Answer: -25
Answer: 51
10. x + 22 – (x+ y) -3y
when x = 2 & y = -5
2 + 22 – (2 + (-5) – 3(-5)
2 + 22 – (-3) – 3(-5)
2 + 4 – (-3) – 3 (-5)
2 + 4 – (-3) – (-15)
6 – (-3) - (-15)
9 – (-15)
24
Answer: 24
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