Operations and Variables
Order of Operations A.K.A PEMDAS
Substitution and Simplification
Absolute Value and Simplification
Distribution Property and Combining Like Terms
100

The operation that uses the word minus to describe it.

What is Subtraction?

100

This is the first step in the order of operations.

What is resolving the parenthesis first, if possible?

100

j + 4; use j = 3 

7

100

The absolute value of 3.

What is 3?

100

3(x + 5)

3x + 15 

200

The operation that uses the words quotient of to describe it.

What is division and/or parenthesis?

200

The third step in the order of operations.

What is multiplying and dividing from left to right?

200

2x + y; use x=3 and y=-1

5
200

The definition of absolute value.

What is how far a number is away from 0?
200

(4 + 2x)3

12 + 6x

300

The operation that uses the words power of to describe it.

What is an exponent?

300

6 • 3 + 1

What is multiplying first then adding next?

300

a - b + a; use a = 6 and b = 2

10

300

|-4|

4

300

2(5d - 4) + 2d

12d - 8

400

The influencer figured out that they can double their subscribers. Can this statement be written algebraically? If so, what is the variable?

What is 2s? With s representing the subscribers. Other answers include: 2(s), (2)(s), 2 • s

400

3 - 4 + 5^2

What is exponent first, subtraction next, and addition last?

400

5 + g2 + f; use g = 3 and f = -2

12

400

|-7+5|

2

400

(6g - 3s)3 + 2s

18g - 7s

500

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 representing the hours.

500

5 + 12/(3*2^2)

What is exponent first, multiplication next, division next, and addition last?

500

( x + y )^2; use  x = 9 and y = 5

196

500

|4 - 9| + 1

6

500

-4(3x + 5) + 2x

-10x - 20 

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