Operations and Variables
The operation that uses the word plus to describe it.
What is Addition?
This is the first step in the order of operations.
What is resolving the parenthesis first, if possible?
j + 2; use j = 3
(3) + 2
2n + 3n
5n
3(x + 5)
3x + 15
The operation that uses the words product of to describe it.
What is multiplication and/or parenthesis?
The third step in the order of operations.
What is multiplying and dividing from left to right?
2x + y; use x=4 and y=-1
2(4) + (-1)
5p - 3 - 2p
3p - 3
(4 + 2x)3
12 + 6x
The operation that uses the words power of to describe it.
What is an exponent?
5 • 2 + 1
What is multiplying first then adding next?
a - b + a; use a = 6 and b = 2
(6) - (2) + (6)
8x + 6y - 4 + 2x
10x + 6y - 4
2(5d - 4)
10d - 8
The influencer figured out that they can triple their subscribers. Can this statement be written algebraically? If so, what is the variable?
What is 3s? With s representing the subscribers. Other answers include: 3(s), (3)(s), 3 • s
2 - 5 + 3^2
What is exponent first, subtraction next, and addition last?
5 + g2 + f; use g = 3 and f = -2
5 + (3)2 + (-2)
-7b + 5b + 3a
-2b + 3a
(6g - 3s)3
18g - 9s
The electrician figured out that the difference in kilowatts and hours measures the total energy use over a certain period. Can this statement be written algebraically? If so, what are the variables?
What is k - h? With k representing the kilowatts and h representing the hours.
2 + 12/(3*2^2)
What is exponent first, multiplication next, division next, and addition last?
( x + y )^2; use x = 9 and y = 5
( (9) + (5) )2
5d + 4f - 8d + 3f
-3d + 7f
-4(3x + 5)
-12x - 20
-12x + (-20)