Order of Operations and Variables

2 steps

100

3 + 7 - 2

3 + 7 - 2

10 - 2

8

200

10 - 6 + 7

10 - 6 + 7 (LEFT TO RIGHT)

4 + 7

11

300

8 x 2 + 1

8 x 2 + 1

16 + 1

17

400

40 - 10 x 2

40 - 10 x 2

40 - 20 

20

500

50 ➗ 10 x 2

50 ➗ 10 x 2

5 x 2

10

3 steps

100

(15 - 7) x 3

(15 - 7 ) x 3

8 x 3

24

200

7 + (20 ➗ 2)

7 + (20 ➗  2)

7 + 10

17

300

(25 - 5) + 5 x 1

(25 - 5) + 5 x 1

20 + 5 x 1

20 + 5

25

400

28 - 4 x 7 + 2

28 - 4 x 7 + 2

28 - 28 + 2

0 + 2

2

500

6 x 10 - 8 ➗ 4

6 x 10 - 8 ➗  4

60 - 8 ➗ 4

60 - 2

58

1 variable

100

B + 10      when B = 6

B + 10     when B = 6

6 + 10

16

200

5(Z)        when Z = 7   

5(Z)        when Z = 7

5(7)   *This means multiply*

35

300

40 ➗  C         when C = 8

40 ➗  C         when C = 8

40 ➗  8

5

400

30 - J  x  J     when J = 5

30 - J x J       when J = 5

30 - 5 x 5

30 - 25

5

500

3(a) + a         when a = 4

3(a) + a          when a = 4

3(4) + 4

12 + 4

16

2 variables

100

A + B         when A = 12  and B = 3

A + B       when A = 12 and B = 3

12 + 3

15

200

2 x C + D             when C = 5 and D = 6

2 x C + D      when C=5 and D=6

2 x 5 + 6

10 + 6

16

300

S ➗  (9 - T)       when S=25  and T=4

S ➗  (9 - T)     when S=25 and T=4

25 ➗  (9 - 4)

25 ➗  5

5

400

e² - (L + 1)     when e = 3 and L = 5

e² - (L + 1)     when e = 3 and L = 5

3² - (5 + 1)

3² - 4

9 - 4

5

500

(16 ➗  g) - f²        when g = 4 and f=2

(16 ➗ g) - f²    when g=4 and f =2 

(16➗ 4) - 2²

4 - 2²

4 - 4

0

Exponents

100

5²

5²     *this means multiply 5 two times* (5 x 5)

25

200

4² - 1

4² - 1

16 - 1

15

300

(6-3) + 2²

(6-3) + 2²

3 + 2²

3 + 4

7

400

a^2 + b²     when a = 2 and b = 3

a² + b²     when a = 2 and b = 3

2² + 3²

4 + 9

13

500

10 + (3² - 4)

10 + (3² - 4)

10 + (9 - 4)

10 + 5

15