Order of Operations
What is the acronym Ms. Rinehart uses for the order of operations? Write out what it means...
Grouping
Exponents
MD - Multiplication/Division whichever one comes first IN THE PROBLEM
AS - Addition/Subtraction whichever one comes first IN THE PROBLEM
Solve for t (SHOW YOUR WORK)
t - 3 = 10
t = 13
Solve for d:
d + o = g
d = o + g
OR
d = g + o
Solve for f (SHOW YOUR WORK):
|f| = 12
f = {-12, 12}
If you don't show your work but you get the right answer because you did it in your head, will you get full credit for that question?
Identify which piece you would do first according to the order of operations:
-3 + 10/5(3) - 6
10/5 = 2
-3 + 2(3) - 6
Solve for x (SHOW YOUR WORK):
2x - 3 = 15
x = 9
Solve for b2 (SHOW YOUR WORK):
A = 1/2h(b1+b2)
b2 = (2A)/h-b1
Solve for k (SHOW YOUR WORK):
|k - 3| = 13
k = {-10, 16}
How do you remove a fraction when solving for a variable?
Multiply by the reciprocal! (AKA multiply by the flipped version of the fraction)
Identify what you would do first here according to order of operations:
3 + [6(11 + 1 – 4)] ÷8∗2
Grouping!!!
(11+1-4) = 8
3 + [6(8)] ÷8∗2
Solve for x (SHOW YOUR WORK):
2x + 14 - 7 - 8x = 19
x = -2
Solve for r (SHOW YOUR WORK):
r + 15 = 4r – 6
r = 7
Solve for p (SHOW YOUR WORK):
-2|p| = -24
p = {-12, 12}
Identify the 4 steps to solving equations with variables on both sides.
1. Distribute (if necessary)
2. Combine like terms
3. Move Variables to the same side
4. Solve!
Using order of operations, simplify this expression:
2+(4+5)divide3times6-5
15
Solve for t (SHOW YOUR WORK):
-2(t - 3) = 20
t = -7
Solve for x (SHOW YOUR WORK):
3(2x + 2) – 3x = 6 + 3x
Infinite Solutions!
Solve for a (SHOW YOUR WORK):
-5|6a + 21| = -15
a = {-4, -3}
Which property is being used?
-3(1/-3) = 1
Inverse Property of Multiplication
Label which step made the first mistake and correct that mistake:
5 - 3[23 - 5 + 7(-3)]
Step 1: 5 - 3[8 - 5 + 7(-3)]
Step 2: 5 - 3[8 - 5 - 21]
Step 3: 5 - 24 - 5 - 21
Step 4: 19 - 5 - 21
Step 5: 14 - 21
Step 6: -7
MISTAKE: Step 3: 5 - 24 - 5 - 21
Correction: 5 - 3[-18]
Finish what is inside of the grouping before moving on to Multiplication/Division
Solve for v (SHOW YOUR WORK):
2(5v + 3) – 4(7v + 1) = -88
v = 5
Solve for p (SHOW YOUR WORK):
7(p + 3) + 9 = 5(p – 2) – 3p
p = -8
Solve for v (SHOW YOUR WORK):
-4|v - 2| - 3 = 25
NO SOLUTION
Can you solve an expression?
For example: Can you solve -4 + 10?
NO!
You can simplify an expression.
You can solve an equation.
You CANNOT solve an expression.