Order of Operations
Vocabulary
Substitution
Distributive property
Order of operations
100

12 - 10 + 3

2 + 3 

5

100

what is the 3 called in the expressions 43

exponent 

100

x = 4 

3(x +2) 

3(4 + 2)

3(6)

18

100

5(2i +3)

10i +15

100

13 + 5 - 5 x 2

13 + 5 -10 

18 - 10

8

200

12 + 10 - 4 + 16

22 - 4 + 16

18 + 16

34

200

exponents are repeated ______

rewrite this expression 84

multiplication 


8 x 8 x 8 x 8

200
w = 7


w+10

72 +10

49+10

59

200

2(6g +6)

12g +36

200

6 - 3 + 12 / 2 x 5

6 - 3 + 6 x 5

6 - 3 + 30

3 + 30

33

300

3 x 4 / 6

12 / 6 

2

300

what is a number called when it has no factors 



give an example

a prime number 


3, 5, 7, 11, 13 etc

300

y = 3

y + 4 - 2 - y * 2

3 + 4 - 2 - 3 * 2

3 + 4 - 2 - 6

7 - 2 - 6

5 - 6

-1

300

1/2 (6r + 12)

3r +6

300

6 x 12 / 4 + 10

72 / 4 + 10 

18 + 10 

28

400

5+ 10 - 8/2

25 + 10 - 8/2

25 + 10 - 4 

35 - 4

31

400

what does it mean when you insert a number for a letter

substitution

400

v = 1/2


4(v + 12)

4(1/2 +12)

2+12

14

400

7(5e +10)

rewrite as repeated addition

5e + 10 5e + 10 5e + 10 5e + 10 5e + 10 5e + 10 5e + 10 

35e +70

400

8- 12 + 10 x 3 

512 - 12 + 10 x 3 

512 - 12 + 30 

500 + 30 

530

500

100 / 2 - (3 x 6) + 12

100 / 2 - 18 + 12

50 - 18 + 12

32 + 12

44

500

what is the order of operations 

what does each one mean

PEMDAS

500

h = 5

h3 - h2 + h

53 - 52 +5

125 - 25 + 5

100 + 5

105

500

1/3 (21i + 48)

7i + 16

500

40 / 4 - (4+12) + 3(6 x 2) -22

40 / 4 - (4+12) + 3(12) - 22

40 / 4 - (4 + 12) + 36 - 22

40 / 4 - 16 + 36 - 22

10 - 16 + 36 - 22

-6 + 36 - 22

30 - 22

M
e
n
u