Order of Operations and Combining Like Terms
What is the acronym for Order of Operations, and what does each letter stand for?
PEMDAS- Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction
OR
GEMS- Groups, Exponents, Multiplication and Division, Subtraction and Addition
3(–2x + 2)
-6x + 6
Melanie gets paid $22 every hour. Write an expression to show how much she gets paid in h hours.
22h
The Least Common Multiple Between 6 and 8.
What is 24?
This person was a dancer for most of their childhood.
Who is Ms. Martinez?
Combine like terms:
6n + 3n - 5m + 12 + 9m
4m+9n+12
–2(x + 1)
-2x - 2
Evaluate 5a – 6 when a = 9.
39
Simplify:
1 1/3 - 2/3
2/3
This person traveled to Japan at 14 years old, their first time outside of the US.
Who is Mr. Job?
Solve:
4+5(7-22+3)
34
–4(–5x + 9)
20x - 36
Evaluate 3x(4 – x) for x = 5.
-15
Simplify:
5/8 ÷ 3/5
25/24 or 1 1/24
This person was a competitive swimmer in high school.
Who is Ms. Alonzo?
Are x3y and xy3 like terms? Why or why not?
No, in the first term the x is cubed and in the second
term it is not. To be like terms, the same variables
must have the same exponents.
-2(7x - 9) + 3 (3x)
-5x + 18
Evaluate 6n2 – 3(n + 2) for n = -3.
57
Simplify:
11/12 - 3/8
13/24
This person broke their arm pretending to be Tarzan.
Who is Mr. Barnes?
Explain the mistake made in the work
below.
4(5) – (3 + 5) + 72
20 – (8) + 72
20 – 8 + 49
20 – 57
-37
In the third step, 8and 49 were added before 20 – 8 was simplified. It is common mistake to think addition comes before subtraction, however, addition and subtraction should be done together left to right.
-4( 2 + 4y) -2(-y -5)
-14y+ 2
If z = -2, then -z3 + 10z2 – 4z = ?
56
Simplify:
1 1/4 + 2 2/7
3 15/28
This person was born in a country where the ratio of horses to people is 13:1.
Who is Ms. Tumen?