Order of Operations
Exponents
Basic Operations
GCF/LCM
Problem Solving
100

14/(8-6)+5

What is 12?

100

23

What is 8 ?

100

5643 + 1827

What is 7,470?

100

The GCF of 16 and 28.

What is 4?


16= 1,2,4,8,16

28=1,2,4,7,14,28

100

A class of 54 students is divided into equal groups for orientation.

Each group should have at least 7 students but no more than 10 students. 

What is the group size?

What is 6 groups of 9 students? So the group size is 9 students per group.  


Greatest Common Factor:

54 = 1 x 54, 2 x 27, 3x18, 6x9

200

9-24/6

What is 5?

200

73

What is 343?


7x7x7

200

8105-4463

What is 3,642?

200

The LCM of 6 and 8.

What is 24?

6=6,12,18,24,30

8= 8,16,24,32

200

You are creating identical candy bags using 18 chocolate bars and 30 peanut butter cups. 

What is the greatest number of bags you can fill using all the candy?

What is 6 bags?  Each bag would have 3 chocolate bars and 5 peanut butter cups.  


Greatest Common Factor:

18 = 1x18, 2x9, 3x6

300

5(7-2)-42

What is 9?

300
92

What is 81?



(9x9)

300

364 divided by 14

What is 26?

300

This is the prime factorization of 54.  

What is 2x3x3x3?


Use a tree or ladder.

300

This is the operation to solve this question:

A shopper gives a cashier $60 to pay for a $49 item. How much does the cashier owe the shopper?


Do not answer the question.  

What is subtraction?

400

24 +2(10-4) -3 

What is 25?

400

Is 100 a perfect square?

What is yes. (100=10x10 or 102).

400

43x59

What is 2,537?

400

This is the prime factorization of 38.

What is 2 x 19?

400

This is the operation used to solve this question:

A movie theater has 18 rows with 15 seats each. How many seats does the theater have?

What is multiplication?

500

This is the order in which we do operations.

What is 

1.  Parenthesis

2. Exponents

3. Multiplication and Division (Left to right)

4.  Addition and Subtraction (Left to right)

500

Is 42 a perfect square?

What is no.  Because you can not get a product of 42 by timing any whole number by itself)

500

An electrician charges $322 for 7 hours of work.  How much does he charge per hour?

What is $46?


322 divided by 7

500

You have violin lessons every fourth day and singing lessons every fifth day. 

Today you have both lessons. 

In how many days will you have both lessons on the same day again?

What is the 20th day?


Least Common Multiple:

4= 4,8,12,16,20,24

5= 5, 10, 15, 20, 25

500

The point system below is used to rank teams in a hockey league.

A team’s record is 29 wins, 5 ties, and 22 losses. How many points does the team have?

Win = 2 points

Tie = 1 point

Loss = 0 points

What is 63 points. 


Wins: 29 x 2 = 58

Ties:  5 x 1 = 5

Loss:  22 x 0 = 0

So 58 plus 5 = 63

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