Order of Operations
This is the correct order of operations, or, this is how the acronym PEMDAS is properly used.
What is Parentheses (Grouping symbols), Exponents, Multiplication/Division from left to right, then Addition/Subtraction, left to right
Simplify 2(x-4)
2x-8
3x-1=5+x
x=3
How many solutions does the following equation have, and if only one, what is it?
2x+1=2x-1
No solutions
The student council consists of 32 members. There are 27 members decorating for the dance. This many members of the council are not decorating.
Who are 5 council members?
This is the SECOND operation done on the equation:
2 xx 3 - (1/2+4^2)
What is the exponent?
Solve
3(7+4)+2(-9-3)
The solution is 9
-3r + 10 = 15r-8
What is r=1?
How many solutions does the following equation have, and if only one, what is it?
12y+6=6(2y+1)
Infinitely Many Solutions
For a party, you use your grandmothers' croquette recipe. They're a smash hit, and only 4 remain, or 2/15 of the total amount you made. How many did you make originally?
You originally made 30 croquettes
This is the FOURTH operation done on the equation:
2 + (1/2 xx (3+4^2))
What is addition?
Simplify the equation:
5(3x^2+2x+6)
What is
15x^2+10x+30?
-9(t-2)=4(t-15)
What is t=6?
How many solutions does the following equation have, and if only one, what is it?
3(4g+6)=2(6g+9)
Infinitely many solutions
A basketball team pays $50 to reserve a banquet table. The players on the team pay $9 a person. The team spends a total of $104. This many players sit at the team table.
Who are 6 players?
Properly using order of operations, this is the answer to the following equation:
y = 5(2-6)+2
What is y=-18?
Solve for m:
6(7m-4)=-5(-4)-2m
Solve for x:
2(4x+2)=4x-12(x-1)
x=1/2
How many solutions does the following equation have, and if only one, what is it?
10+6(g+5)=2(6g+5)
One, g=5
The sum of these two consecutive odd numbers is 128.
What are 63 and 65?
Properly using order of operations, this is the answer to the following equation for y:
y =7((4^2+5)/3)-9
What is y=40?
Solve for x
7(2x-3)+6=-2(-6-20)-1
x=27
Solve for y:
4(y^2-3)=y^2(7-4)+4
y=+-4
Either answer is accepted
How many solutions does the following equation have, and if only one, what is it?
5(1+2m)=1/2(8+20m)
No solution
If your cousin is 12 years older than your brother, and four years ago, your cousin was thrice (three times) as old as your brother, these are the current ages of your cousin and brother.
Who is our 20 year old cousin and 8 year old brother?