Order of Operations
What does GEMS stand for?
Grouping
Exponents
Multiplication/Division
Subtraction/Addition
What does "evaluate" mean?
Evaluate means to solve
What fish cost the most?
A goldfish!
A ____ ________ is a comparison between two or more quantities
Number Sentence
What are the variables, constants, coefficients and like terms in the expression below?
8x – 2 + 2x + 2x2
Variables: x
Constants: -2
Coefficients: 8, 2, 2
Like terms: 8x, 2x
Does multiplication or addition get done first in the order of operations?
Multiplication
How many outputs must you have for every input?
Only 1!
If 2 is company and 3 is a crowd, what are 4 and 5 ?
9 !
True or False?
8 X 3= 4 X 6
True
Are 3x2y and 2yx2 like terms? Explain.
Yes, they are like terms because both have the same variable raised to the same exponent. 2yx2 can be rewritten as 2x2y using the commutative property of multiplication, making it easier to see it is a like term with 3x2y.
What is the mistake in the problem below?
4(5) - (3 + 5)
20 - 3 + 5
17 + 5
22
The 5 isn't supposed to be positive.
Input refers to the __- values
The x-values !
If you multiply this number by any other number the answer will be the same. What number is this ?
Zero !
What comparison symbol goes here?
8 ÷ 4 ___ 8 ÷ 2 + 8 ÷ 2
Less than !
Combine like terms to simplify the
expression.
3m2n – 2mn + m2n + 7mn2 – mn2
4m2n + 6mn2 – 2mn
What's the first step to solving the problem below?
40 - 4 x 32
Simplify 32 first
What output comes out of the function machine when you input 7.
f(x)= 3x + 6
27 !
Forward, I am heavy; backwards, I am not. What am I ?
A ton !
Forest ate 2 apples. Then, he ate 3 more apples. If he started with 10 apples, how many does he have now?
Create the number sentences to prove your answer.
10 – 2 = 8
8 – 3 = 5
→Forest has 5 apples.
What is the error in the following work? And what is the correct answer.
3x + 7 - 2x = 16
8x = 16
7 is not a like term of 3x and -2x because it does not have an x in it, so cannot be combined with 3x and -2x. The correct answer should read x + 7 = 16.
Arrange the numbers and operations below to form an expression that simplifies to 67.
5 , 7 , 10 , 10 , + , + , x
10 x 5 + 10 + 7
f(x) is the same as the __- values
Poor people have it. Rich people need it. If you eat it, you will die. What am I ?
Nothing !
True or False? And explain why.
32 + 42 = 72
False
9 + 16 ≠ 49
Let n equal a + b – 7.
What happens to the value of n if the value of a increases by 2 and the value of b decreases by 1? And write an equation to prove your work.
It increases by 1.