Order of Operations & Exponents

Order of Operations 1

100

Evaluate when y =4 

7y + (2-0)

30

200

Evaluate:

9 - (12 - 8 + 1)

4

300

Evaluate when x = 15:

(x - 3 * 4)

3

400

 3 + 8(7+2)

75

500

Evaluate when d = 5

3 + (2 + 4) - d

4

Order of Operations 2

100

Evaluate: 31 - (65 - 43)

9

200

Evaluate: 72 - 25 + 8

55

300

Evaluate  when x = 3: 

x² + 6

15

400

Evaluate when f = 2 : 

500f - (3²)

991

500

Evaluate: 5² + 60(80) 

4825

Order of Operations 3

100

In this expression, which operation is performed first : 9 + 4(2 + 4) /6

2 + 4

200

Which part would you solve first? 

  3[6(13-6) + 5(3)] + 20

First 13-6  

300

solve when t = 3:

5 (2) + (8 - t) + t⁴

96

400

Solve:

10 + 2 * 4² * (5 - 3)

74

500

Evaluate when y = 3   

(5 * 2)² + 4y - y³

85

Order of Operations 4

100

(2 * 3²) - (11 + 6) 

1

200

(5 - 1)² + (2 + 2)² 

32

300

 10 + 4(8) - 3

39

400

(4 +1)² - 10 ÷ 5 - (5 - 3)

21

500

(9)(5) + (4 - 3)⁵

46

Exponents

100

Evaluate:   6²

36

200

Evaluate:   2⁵

32

300

Evaluate:  5² - 4²

9

400

Write the product as a power:  

x•x•x•x•x•y•y•y

x⁵y³

500

Write the product as a power:

7•7•7•7•g•g•g•g•g•g

7⁴g⁶