What does PEMDAS or GEMS stand for?
PEMDAS- Parentheses, Exponents, Multiplication and Division, Addition and Subtraction
GEMS- Grouping, Exponents, Multiplication/Division, and Subtraction/Addition
Which number is the base in this term?
5x
5
Adding Integers
-6 + -12
-5 + 14
23 + -8
34 + -74
Adding Integers
-6 + -12 = -18
-5 + 14 = 9
23 + -8 = 15
34 + -74 = -40
Take a look at the term below
How many parts does this have
Identify what are they called?
3x2
3x2
One term
Our coefficient is 3
Our variable is x2
Solve the following problems using PEMDAS or GEMS
(4+3) x 10 / 2 + (5 x 6)
(4+3) x 10 / 2 + (5 x 6)
(7) x 10 / 2 + (30)
70 / 2 + 30
35 + 30
65
Which number is the exponent in this expression?
2x3 + 6
3
Subtracting Integers
-35 - -49
-20 - 18
-15 - -15
48 - -52
Subtracting Integers
-35 - -49 = -35 + 49 = 14
-20 - 18 = -38
-15 - -15 = -15 + 15 = 0
48 - -52 = 48 + 52 = 100
What does "like terms mean"?
Provide an example to your explanation
Explanation and example will vary
Solve the following problems using PEMDAS or GEMS
(10-7) + (2 X 14 / 4)
(10-7) + (2 X 14 / 4)
3 + (28/4)
3 + 7
10
How is this term written in standard form?
43
64
Multiply the following
-8 x -20
-5 x 13
9 x 14
12 x -2
86 x 0
-8 x -20 = 160 * multiplying two negatives gives us a positive answer
-5 x 13 = -65
9 x 14 = 126
12 x -2 = -24
-86 x 0 = 0 * zero times anything will always be zero
Identify if any are like terms
7y
4x
3
-2x
8xy
3y2
z
7
8z
These are like terms
4x and -2x
3 and 7
z and 8z
These do not have like terms
8xy
3y2
7y
Solve the following problems using PEMDAS or GEMS
64 - 8 + 12 x 2 + 9
64 - 8 + 12 x 2 + 9
64 - 8 + 24 + 9
64 - 8 + 24 + 9
56 + 24 + 9
80 + 9
89
How is this term written in expanded form?
22 x 52
2 x 2 x 5 x 5
Dividing Integers
144 / - 12
-180 / 3
-81 / -9
100 / 5
144 / - 12 = -12
-180 / 3 = -60
-81 / -9 = 9
100 / 5 = 20
How many terms are in the following
x2 + 10x + 16
Identify each of them, are there any like terms?
Three terms x2 and 10x and 16
There are no like terms, it was in simplest form
Solve the following problems using PEMDAS or GEMS
43 - 33
43 - 33
(4x4x4) - (3x3x3)
64 - 27
37
How is this term written in exponential form?
a x a x a x b x b x b x b
a3 x b4
Identify if the following answers are incorrect, answer the following in your own words:
Why? What should be the correct answer?
-25 / 5 = 5
-13 + -24 = 11
-13 - -14= -17
-15 x -15 = 0
- 13 + - 12 = 1
All of the following were incorrect, in your own words answer:
Why? What should be the correct answer?
-25 / 5 = 5
-13 + -24 = 11
-13 - -4= -17
-15 x -15 = 0
- 13 + - 12 = 1
Identify like terms and simplify
10xy + 5y - 6xy - 14y
Identify like terms and simplify
10xy + 5y - 6xy - 14y
10xy and -6xy are like terms
5y and -14y are like terms
10xy - 6xy +5y -14y
4xy - 9y